digit shows a number written in words 2. expanded form shows a number written using digits 3. period one of the numerals from 0 to 9 4. place value the position of a digit in a number, which determines its value 5. standard form each three-digit part of a whole number, separated by commas 6. word form shows a number written as an addition statement

Answers

Answer 1

The statements can be arranged correctly as follows:

1. Word Form shows a number written in words.

2. Standard form shows a number written using digits.

3.  Digit is one of the numerals from 0 to 9

4. Place value the position of a digit in a number, which determines its value.

5.  Period each three-digit part of a whole number, separated by commas

6. Expanded form shows a number written as an addition statement

How to determine the terms

We can determine the terms by first understanding the mathematical meanings. Word form is a term used in math to denote expressions written in word B.

Also, the standard form is a way of shortening large numerical values using digits. Digits are single numbers that run between 0 to 9 and they make up the higher values of numbers.

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Related Questions

determine the quotient of 1 1/3÷ 3/5​

 determine the quotient of 1 1/3 3/5

Answers

Answer:

c

Step-by-step explanation:

4/3

3/5

keep change fli[

20/9=2 2/9

what is 32.7 + 21.63

Answers

Answer:

54.33

Step-by-step explanation:

Answer:

54.33

Step-by-step explanation:

Addition or a calculwtor can be used

foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.

Answers

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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On a blueprint, a 1 in. scale corresponds to 7 ft. To show a room with actual dimensions 35 ft wide by 16 ft long, what dimensions (in inches) should be shown on the blueprint?

Answers

5 by 2.3
Divide the 35 and 16 by 7 respectively

Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :

Answers

Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Which choice is the solution to the inequality below?
\(9x \leqslant 72\)
A.
\(x \leqslant 63\)
B.
\(x \leqslant 2\)
C.
\(x \geqslant 8\)
D.
\(x \geqslant8\)

Answers

Answer:

x<= 8  ( Answer  not in the given options)

Step-by-step explanation:

9x <= 9

divide both sides by 9 to get x

9x   <=  72

9           9

x <=  8

In the episode pertaining to the discovery of radium, all of the hypotheses turned out to be true.
a. true
b. false

Answers

Answer:

In the episode pertaining to the discovery of radium, it is false that all of the hypotheses turned out to be true.

There are some hypotheses in the episode thay turned out to be false.

you deal one friend a card at random. Then you deal a second friend a card at random. What is the possibility that both friends got diamonds?

Answers

Answer:

0.0588

Step-by-step explanation:

There are 52 cards total in a pack of cards.

There are 13 diamond cards in a pack of card

When the first card is dealt, it is NOT replaced. When the second card is dealt, it is NOT replaced

In probability:

AND = multiplication

  OR = addition

Probability = \(\frac{Total number of diamond cards}{Total number of cards}\)

Probability that both friends for diamonds:

First card is DIAMONDS AND second card is DIAMONDS:

= \(\frac{13}{52}\)×\(\frac{12}{51}\)

= \(\frac{156}{2652}\)

= 0.0588 (Rounded off to 3 significant figures)

Construct a confidence interval that will capture the true population mean with 95% confidence. Population standard deviation is unknown.
Data: 18
19,19,19,19,19,19,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21, 22,22,22,22,23,23,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,,26,26,26,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,29,29,29,30,30,30,31

Answers

A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

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Calculator What is the value of y in the triangle? Enter your answer in the box. Round your final answer to the nearest hundredth. ​

Calculator What is the value of y in the triangle? Enter your answer in the box. Round your final answer

Answers

Answer:

Step-by-step explanation:

Value of y can be found using the tan ratio of the angle.

tan 26.5 = opposite/adjacent

.49858161 = y/24

mulitply each side by 24

11.97 = y

Answer: The value of y=116.28ft

Step-by-step explanation:

tan x = opposite side/adjacent side

let x=26.5 degree

opposite side= y

adjacent side=24ft

Therefore,

 tan(26.5) = y/24

y = tan(26.5) * 24

tan(26.5) = 4.8450

y = 4.8450*24

y = 116.28ft

Find the most general antiderivative of the function f(x) = 7 sin(x) - 4 sec(x) tan(x) on the interval
\(( - \frac{\pi}{2} \: \: \frac{\pi}{2} )\)

Answers

The most general antiderivative of the function is -7cosx-4secx+C on the interval (-π/2,π/2) is not defined.

Given that,

We have a function f(x)=7sinx -4secx tanx.

We have to find the most general antiderivative of the function on the interval (-π/2, π/2).

We know that,

Take the function,

f(x)=7sinx -4secx tanx.

The antiderivative is

= \(\int {7sinx-4secxtanx} \, dx\)

= \(7\int{sinx} \, dx -4\int {secxtanx} \, dx\)

= 7(-cosx)-4\(\int {sinx/cos^{2}(x) } \, dx\)

Take cosx =u

-sinxdx=du

= -7cosx-4\(\int {-1/u^{2} } \, du\)

= -7cosx-4(1/u)+C

=-7cosx-4(1/cosx)+C      ( since we know u=cosx)

= -7cosx-4secx+C

Now for the interval (-π/2,π/2)

= -7(cosπ/2-cos(-π/2))-4(secπ/2-sec(-π/2))+C

= -7(0-0)-4(∞-∞)+C

=not defined

Therefore, The most general antiderivative of the function is -7cosx-4secx+C on the interval (-π/2,π/2) is not defined.

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GIVING BRAINLIEST !!!
need help with alg2 homework pleasee, no explanations btw thanks check image below!

GIVING BRAINLIEST !!!need help with alg2 homework pleasee, no explanations btw thanks check image below!

Answers

Answer:

1)

A) 0.541 or 0.54(by rounding)

B) 0.675

C)Yes, they are independent because someone doesnt have to attend prom to be a senior and vice versa

2)

a) 0.29

b) 0.04

c) Yes, they are independent because you do not have to live in Long Beach to recommend the provider and vice versa

Step-by-step explanation:

Can you pleaseeeeeeee help meee!! This is due today!!
A lion weighs 7 times as much as a leopard. The combined weight of the cats is 480 pounds. What is the weight of each cat?

Weight of the leopard: ____ pounds

Weight of the lion: ___ pounds

Answers

Answer: LEAPORD 240 LION 240

Step-by-step explanation: i hope its right

In the figure below, which term best describes point L?

In the figure below, which term best describes point L?

Answers

Answer: B. Circumcenter

Explanation:

The tickmarks show which pieces are congruent to one another, which in turn show the segments have been bisected (cut in half). The square angle markers show we have perpendicular segments. So we have three perpendicular bisectors. The perpendicular bisectors intersect at the circumcenter. The circumcenter is the center of the circumcircle. This circle goes through all three vertex points of the triangle.

A useful application is let's say you had 2 friends and you three wanted to pick a location to meet for lunch. Each person traveling from their house to the circumcenter's location will have each person travel the same distance. We say the circumcenter is equidistant from each vertex point of the triangle. In terms of the diagram, LH = LJ = LK.

Answer: B.) Circumcenter

Step-by-step explanation:

How much water do you add to make each concentration? 25% sugar using 15 g sugar

Answers

Answer:

You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.

Step-by-step explanation:

To make a 25% sugar solution, you need to add a certain amount of water to 15 grams of sugar. To determine this amount, you can use the following formula:

(desired concentration / 100) x total volume = amount of solute (in this case sugar)

We know that the desired concentration is 25%, and the amount of solute is 15 grams. To find the total volume, we can use the following formula:

amount of solute / desired concentration = total volume

15 grams / 0.25 = 60 grams

So the total volume of the solution is 60 grams, and the amount of water you need to add to make a 25% sugar solution using 15 grams of sugar is 45 grams.

You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.

Another way to think of it is to add 3 times the amount of water as the amount of sugar, since 25% of 60g is 15g

Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°

Answers

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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how many a's do you need to bring up an F​

Answers

Answer:

Typically you have to turn in your projects and assessments to get an A depending your school policies

Step-by-step explanation:

The number of "a's" needed to bring up an F depends on the grading scale of the course.

What is a grading scale?

A grading scale is a system used to measure a student's academic performance and assign a letter or numerical grade that reflects their level of achievement in a particular course or subject.

Grading scales typically range from A to F or 0 to 100, with each letter or numerical grade corresponding to a specific level of performance.

We have,

The number of "a's" needed to bring up an F depends on the grading scale of the course.

In most grading scales, an "A" is the highest grade and is worth 4.0 points.

To calculate the number of "a's" needed to bring up an F, you need to know the total number of points in the course and the number of points you have earned so far.

Then you can determine the minimum number of "a's" required to achieve a passing grade, which is typically a "D" or higher.

For example,

If a course has a total of 100 points and you have earned 30 points (which is an "F"), you would need 70 more points to achieve a passing grade.

To determine the minimum number of "a's" required to earn these 70 points, you would need to know the point value of an "a" in the grading scale. If an "a" is worth 4.0 points, then you would need to earn at least 18 "a's" (70 divided by 4) to achieve a passing grade.

However, this is just an example and the actual number of "a's" needed would depend on the grading scale of the course.

Thus,

The number of "a's" needed to bring up an F depends on the grading scale of the course.

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Consider the parabola given by the equation:
f
(
x
)
=

2
x
2

8
x
+
14


Find the following for this parabola:

A) The value of
f
(

5
)
:


B) The vertex = (
,
)

C) The
y
intercept is the point (0,
)

D) Find the two values of
x
that make
f
(
x
)
=
0
. Round your answers to two decimal places. Write the values as a list, separated by commas:
x
=

Answers

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

12) Find the angles between 0o and 360o where sec θ = −3.8637 . Round to the nearest 10th of a degree:

Please show all work

Answers

9514 1404 393

Answer:

  105.0°, 255.0°

Step-by-step explanation:

Many calculators do not have a secant function, so the cosine relation must be used.

  sec(θ) = -3.8637

  1/cos(θ) = -3.8637

  cos(θ) = -1/3.8637

  θ = arccos(-1/3.8637) ≈ 105.000013°

The secant and cosine functions are symmetrical about the line θ = 180°, so the other solution in the desired range is ...

  θ = 360° -105.0° = 255.0°

The angles of interest are θ = 105.0° and θ = 255.0°.

12) Find the angles between 0o and 360o where sec = 3.8637 . Round to the nearest 10th of a degree:Please

I need 23 questions answered

 I need 23 questions answered

Answers

The surface area of a rectangular prism is 48 5/6 mi².

How to calculate the surface area of a rectangular prism?

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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3x-2y=12
y=1 - 2x
HELPPPPP

3x-2y=12y=1 - 2xHELPPPPP

Answers

Answer

3x−2y=12y=1−2x

re

Use the commutative property to write an expression 8c-1.5

Answers

Answer:

Step-by-step explanation:

i need help on that too

1.5 is the answer hope it helps

A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.

Based on the 99% confidence interval (0.297, 0.503), is there convincing evidence of a difference in the proportion of “big” bank customers who bank with more than one bank as compared with the “small” customers who bank with more than one bank?

Because

contained in the interval, there is
to believe there
a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with more than one bank.

Answers

Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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4x-8=12
4×-8=12+8
4×=20
4/4×=20/4
×=

Answers

Answer:

\(x = \frac{20}{4} \\ x = 5\)

Answer:

x=5

Step-by-step explanation:

Whirly Corporation’s contribution format income statement for the most recent month is shown below:

Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200

Required:
(Consider each case independently):

1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.

Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)

Answers

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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PLEASE ANSWER NEED THIS REALLY SOON!!!! OFFERING 100 PTS

A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. Use the graph below to justify the lead executive’s statement and to determine the approximate year that the two ad revenues were equal.


Graph with x axis labeled years. Y axis labeled revenue in dollars. The line for printed ad revenue starts at 0, 3 and goes through the10, 2. The line for online ad revenue starts at 0, 0 zero and goes through the 10, 3.

Answers

A) The lead executives statement has been justified below considering the fall and rise of the graph line.

B) Between the years 7 and 8.

How to Interpret Linear Graphs?

A) Looking at the attached graph, we can trace that the printed ad's revenue peaked at $3 million and then began to fall steadily. The online ad revenue started  with nothing and thereafter gradually increased in value to millions of dollars. Now, since the printed ad revenue has been declining and online ad revenue is seen to be increasing, it means that the lead executive's assertion is accurate.

B) Both curves are seen to intersect between the seventh and eighth year, I would say around the middle of year 7, and both online ads and printed ads generated an approximate revenue of $2.2 million each

Between the years 7 and 8.

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PLEASE ANSWER NEED THIS REALLY SOON!!!! OFFERING 100 PTSA newspaper started an online version of its

Identify the proof to show that △ABD≅△CBD
, where ∠BDA≅∠BDC
are right angles, D
is the midpoint of AC¯¯¯¯¯
, AB¯¯¯¯¯≅BC¯¯¯¯¯
, and BD¯¯¯¯¯
bisects ∠B
.

The figure shows two triangles A B D and C B D with a common side B D. Points A, D, C lie on one line.

Answers

We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?

Answers

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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Help me on 55 please

Help me on 55 please

Answers

Answer:

if you have computer/laptop do search from it

Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.

What is Johnny's speed compared to Jane?

Explain.

25%
50%
150%
400%

Answers

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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