85. Identify the congruent relationships with a checkmark


(Check )


A. Base angles of an isosceles triangle


B. Corresponding angles formed by a transversal


intersecting parallel lines


C. Diagonals of a rectangle


D. Diagonals of an isosceles trapezoid


E. Vertical angles


F. Linear Pairs


G. Alternate interior angles formed by a transversal


intersecting parallel lines


H. Opposite angles of a parallelogram


1. Consecutive angles of a parallelogram



Help??

Roberto is thinking of the fraction 3/5, which is equivalent to three ninths. The denominator of the fraction is two more than the numerator.

In Roberto's fraction, the numerator is 3, and the denominator is 2 more than the numerator. To find the equivalent fraction, we need to determine a denominator that is two more than the numerator. Let's call the numerator x. According to Roberto's statement, the denominator will be x + 2.

To find the equivalent fraction, we need to divide both the numerator and the denominator by their greatest common divisor (GCD) to simplify the fraction. In this case, the GCD of 3 and 5 is 1, so we divide both numerator and denominator by 1.

Thus, the equivalent fraction is 3/5. The numerator is 3, and the denominator, which is 2 more than the numerator, is 5. Therefore, the fraction Roberto is thinking of is 3/5, which satisfies the given conditions.

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Answer:

Henry was thinking of the number 10.

Step-by-step explanation:

Variable x = Henry's original number

Set up an equation:

x ÷ 2 + 10 = 15

Isolate variable x:

x ÷ 2 = 5

x = 10

Answer:

You're less likely to make mistakes reading or writing very big and very small numbers if you use scientific notation. It also makes it much easier to tell at a glance which numbers are bigger or smaller without counting long strings of zeros.

Answer:

Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.

Answer:

(a)   width = (x - 1)

      length = (7x - 6)

(b)  Area = 350 cm²

     Perimeter = 114 cm

Step-by-step explanation:

Given equation:  \(7x^2-13x+6\)

⇒ a = 7,  b = -13,  c = 6

Find 2 two numbers that multiply to ac and sum to b:   -6 and -7

Rewrite b as the sum of these 2 numbers:

\(\implies 7x^2-7x-6x+6\)

Factorize the first two terms and the last two terms separately:

\(\implies 7x(x-1)-6(x-1)\)

Factor out the common term (x - 1):

\(\implies (7x-6)(x-1)\)

Therefore:

Substitute the given value of x = 8 into the equations to find the area and perimeter:

\(\begin{aligned}x=8cm \implies \textsf{Area} & = 7(8)^2-13(8)+6\\& = 448-104+6\\& = 350 \sf \:\: cm^2\end{aligned}\)

\(\begin{aligned}\textsf{Perimeter} & = 2(\sf width+length)\\& =2[(x-1)+(7x-6)]\\ & = 2[(8-1)+(7(8)-6)]\\ & = 2[7+(56-6)] \\& = 2(7+50)\\& = 2(57)\\ & = 114 \sf \:\: cm\end{aligned}\)

Answer:

See below ~

Step-by-step explanation:

\(\textsf {Question 15(A) :}\)

\(\textsf {Given :}\)

\(\implies \mathsf {7x^{2} - 13x + 6}\)

\(\textsf {Splitting the middle term :}\)

\(\implies \mathsf {7x^{2} - 7x - 6x + 6}\)

\(\textsf {Grouping common terms :}\)

\(\implies \mathsf {7x(x - 1) - 6(x - 1)}\)

\(\textsf {Dimensions are :}\)

\(\textsf {Question 15(B) :}\)

\(\textsf {Formula for perimeter :}\)

\(\implies \mathsf {2 \times (length + width)}\)

\(\implies \mathsf {2 \times (7x - 6 + x - 1)}\)

\(\implies \mathsf {2 \times (8x-7)}\)

\(\textsf {Substitute x = 8 :}\)

\(\implies \mathsf {2 \times [8(8)-7]}\)

\(\implies \mathsf {2 \times (64-7)}\)

\(\implies \mathsf {2 \times 57}\)

\(\implies \mathsf {Perimeter = 114 cm}\)

\(\textsf {Now substitute x = 8 in the area formula :}\)

\(\implies \mathsf {7(8)^{2} - 13(8) + 6}\)

\(\implies \mathsf {7(64) - 104 + 6}\)

\(\implies \mathsf {448 - 98}\)

\(\implies \mathsf {Area = 350 cm^{2}}\)

37.2 degrees Celsius is equivalent to 99 degrees Fahrenheit. both are unit of measurement of Temperature.

To convert Celsius (C) to Fahrenheit (F), you can use the conversion formula: (C x 9/5) + 32 = F. So to convert 37.2 degrees Celsius to Fahrenheit, you would multiply 37.2 by 9/5, then add 32 which is equivalent to 99 degrees Fahrenheit.

It's worth noting that Fahrenheit  scale commonly used in the United States, while Celsius is the standard temperature scale in the International System of Units (SI) and widely used across the world. The conversion formula is a standard and widely used method of converting temperature units.

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First, we need to find the slope of the segment BC:

Now, we need to find a perpendicular slope:

Now, using the point-slope equation:

Rewrite the previous equation in the standard form:

Therefore, the answer is:

A = 8

B = -3

C = 1

The maximum number of mites in the peach orchard are 1564

Given that,

There are found to be mites in a peach orchard. According to research conducted by the Department of Agriculture, the number of mites t hours after the orchard has been sprayed is roughly represented by the equation N(t)=1600-3tln(0.07t)-t

To find : What is the maximum number of mites in the peach orchard? Round to the nearest whole number.

N(t)=1600-3tln(0.07t)-t

N(19)=1600-3(19)ln(0.07(19))-(19)

N(19)=1600- 16.255 - 19

N(19)=1564.74

N(19)≈1564

Therefore, the maximum number of mites in the peach orchard are 1564

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Answer:

y = x + 1

Step-by-step explanation:

1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula \(\frac{y_2-y_1}{x_2-x_1}\). \(x_1\) and \(y_1\) represent the x and y values of one point, and \(x_2\) and \(y_2\) represent the x and y values of another point.

So, use the points given to answer the question. Substitute 4 for \(x_1\), 5 for \(y_1\), 8 for \(x_2\), and 9 for \(y_2\) then solve:

\(\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1\)

Therefore, the slope is 1.

2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.

The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.

Answer:

im just adding this so you can give them brainliest lol

Step-by-step explanation:

yes, they are correct

This data will be considered as Qualitative sample.

Qualitative data is the data that is not represented by numbers, On the other hand, the quantitative data is represented by numbers and it is classified as discrete and continuous.

Qualitative sample

In qualitative research, only a sample  of a population is selected for any given study. The study's research objectives and the characteristics of the study population determine which and how many people to select.

Quantitative sample

The quantitative research sampling method is the process of selecting representable units from a large population. Quantitative research refers to the analysis wherein mathematical, statistical, or computational method is used for studying the measurable or quantifiable dataset.

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Answer:

1 is correct 2 is 4000

Step-by-step explanation:

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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10 people would pay 40,000 for a 4-day stay at the hotel to sell.

1. The green grocer needs to arrange 180 mangoes in piles of 9, 10, and 12 without a remainder. Let's check each pile size:

- For piles of 9 mangoes: 180 ÷ 9 = 20. There is no remainder, so she can make 20 piles of 9 mangoes each.
- For piles of 10 mangoes: 180 ÷ 10 = 18. There is no remainder, so she can make 18 piles of 10 mangoes each.
- For piles of 12 mangoes: 180 ÷ 12 = 15. There is no remainder, so she can make 15 piles of 12 mangoes each.

So the green grocer can arrange the mangoes in 20 piles of 9, 18 piles of 10, or 15 piles of 12 without any remainder to sell.

2. Eight people pay 48,000 for a 6-day stay at a hotel. First, let's find the cost per person per day:
48,000 ÷ 8 people = 6,000 per person for 6 days.
6,000 ÷ 6 days = 1,000 per person per day.

Now, let's find how much 10 people would pay for a 4-day stay:
1,000 per person per day × 10 people = 10,000 per day for 10 people.
10,000 per day × 4 days = 40,000 for a 4-day stay for 10 people.

So, 10 people would pay 40,000 for a 4-day stay at the hotel.

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Answer:B i think

Step-by-step explanation:

The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

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Now, we can calculate the area of the equilateral triangle as:Area of an equilateral triangle = (side × altitude) / 2= (2sqrt(6) × sqrt(6)) / 2= 6 square unitsThus, the area of the equilateral triangle is 6 square units.

Given that the altitude of an equilateral triangle is square root 6 units. We need to find the area of the triangle. Let's derive the formula of area of an equilateral triangle.As all the sides of an equilateral triangle are equal, we can calculate the area of the equilateral triangle by:

Area of an equilateral triangle = (side × altitude) / 2We know the altitude of the triangle is square root 6. We need to find the side of the triangle.Let's derive the formula of side of an equilateral triangle using Pythagoras Theorem.As the triangle is equilateral, the height divides the base into two equal halves. Therefore, the base can be represented as 2s / 2 or s.Using Pythagoras Theorem,

we have\(:(s / 2)^2 + h^2 = s^2s^2 / 4 + 6 = s^2s^2 - 4s^2 / 4 = 6s^2 / 4s^2 - 4s^2 = 6s^2 - 24s^2 = - 6s^2 = 24s = ±sqrt(24) = sqrt(4 × 6) = 2sqrt(6)\)(Taking positive value as length cannot be negative)Therefore, the side of the equilateral triangle is 2sqrt(6).

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Answer:

26.85 in

Step-by-step explanation:

5+7+7 = 19

C 2πr/2 = 7.85

19+7.85 = 26.85

The output value of the given function is found to be \(h'(5) = -9.77\)

Given information:

f(5) = 2 and f'(5) = −1.

To find h'(5).

The given options are:

\(h(x) = (3f(x) - 5e^x/9)^3\\h(x) = 20 ln f(x)/ x^2 + 3\\h(x) = e^f(x) cos(4 x)\)

Using the Chain rule, we can find the derivative of the given functions as follows:

a)

\(h(x) = (3f(x) - 5e^x/9)^3\\h'(x) = 3(3f(x) - 5e^x/9)^2(9f'(x) - 5/9)e^x/9\\\)

At x = 5, f(5) = 2 and f'(5) = -1

So,

\(h'(5) = 3(3*2 - 5e^5/9)^2(9*(-1) - 5/9)e^5/9\\h'(5) = 0.0152\)

b)

\(h(x) = 20 ln f(x)/ x^2 + 3\\h'(x) = 20f'(x)/f(x)x^2 + 3\)

At x = 5, f(5) = 2 and f'(5) = -1

So,

\(h'(5) = 20*(-1)/2^5 + 3\\h'(5) = -0.09\)

c)

h(x) = e^f(x) cos(4 x)

h'(x) = e^f(x) (f'(x) cos(4x) - 4 sin(4x))

At x = 5, f(5) = 2 and f'(5) = -1

So,

\(h'(5) = e^2*(-1)cos(20) - 4 sin(20)\\h'(5) = -9.77\)

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Answer:

6(2-6v)>96

Step-by-step explanation:

step 1: distributive property

12-36v>-96

step 2: add like terms

12-36v>-96

(subtract 12 from both sides.)

-36v>-96-12

-36>-108

step 3: divide by coefficient which is -36

-36v/-36>-108/-36

v<3

(sign flips bc u r dividing by negative.)

Hope this helps   :)

The coordinates of the function will be T (x , y ) = (2 x, y + 5) ; Option B is the answer.

A function is a mathematical statement that relates an independent and a dependent variable .

An inverse of a function is given

T⁻¹ (x, y) :  (½x, y - 5)

 T(x, y)  : ?

As the inverse in given , to find the function , the reverse of all the transformation has to be done .

The x coordinate has been halved , so the original function will be double.

The y coordinate has  5 subtracted to it , so it will be added to the coordinate.

So the coordinates of the function will be

T (x , y ) = (2 x, y + 5)

Therefore Option B is the answer.

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Answer:

B. y = x + 2; y = 5

Step-by-step explanation:

100% on edge 2022!

Answer:

Step-by-step explanation:

(1)

apple × apple × 2apple = 54

2apple³ = 54    divide both sides by 2

apple³ = 27 → apple = ∛27

apple = 3

(2)

apple + apple × green_apple = 24   substituite apple = 3

3 + 3 × green_apple = 24        subtract 3 from both sides

3 × green_apple = 21         divide both sides by 3

green_apple = 7

(3)

strawberry - bannana - banana = 0 → strawberry = 2banana

(4)

strawberry + banana + cherry = 24     substitute from (3)

2banana + banana + cherry = 24

3banana + cherry = 24

(5)

apple + banana - cherry = -1          substitute apple = 3

3 + banana - cherry = -1         subtr3 from both sides

banana - cherry = -4

Add both sides of (4) and (5)

 3banana + cherry = 24

+banana - cherry = -4      

4banana = 20       divide both sides by 4

banana = 5

Substitute it to (4):

3(5) + cherry = 24

15 + cherry = 24      subtract 15 from both sides

cherry = 9

Substitute to the last equation:

3 + 5 × 9 = 3 + 45 = 48

/USED PEMDAS/

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

(x−7,y+5)

A p e x n dat

Answer:

C

Step-by-step explanation:

The slope is 8/5

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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Answer:

n = 4

Step-by-step explanation:

Answer:

i dont know this is to hard

Step-by-step explanation:

pay back for saying that on my question  

Answer:

225 pages in 75 days. hope this helped!

Step-by-step explanation:

Answer:

75*3 or 225

Step-by-step explanation:

3 pages per day the 75 days it's 75*3 which is 225

Hope this helps plz mark brainliest if correct :D

The sample's standard deviation is equal to 12. Thus, choice B is the right choice.

The variance of a sample of 144 observations equals 576.

Variance S² = 144

The standard deviation is a measure of how spread out a set of data is. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The standard deviation can be used to measure the amount of variation or dispersion of a set of data values from the mean.

Standard Deviation = √Variance

Standard Deviation = √144

Standard Deviation = 12

The standard deviation of the sample equals 12. So the option B is correct.

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The complete question is:

The variance of a sample of 144 observations equals 576. The standard deviation of the sample equals:

A. 441

B. 12

C. 63,504

D. 21

It Will take approximately 1.99 minutes for the element to decay to 80 grams.

To solve this problem, you can use the formula for exponential decay: y = a * b^x

Where "y" is the final amount of the substance, "a" is the initial amount of the substance, "b" is the decay constant (in this case, b = 0.5 since the half-life of element x is 11 minutes), and "x" is the time in which the decay occurs.

In this case, we are trying to find the value of "x" (the time in which the decay occurs) given the values of "y" (80 grams) and "a" (300 grams).

Substituting these values into the formula, we get:

80 = 300 * 0.5^x

To solve for x, we can divide both sides by 300 and take the logarithm of both sides: log(80/300) = log(0.5^x)

-1.386 = x * log(0.5)

-1.386 = x * -0.693

x = 1.99

This tells us that it would take approximately 1.99 minutes for the element to decay to 80 grams. Rounding to the nearest tenth of a minute, this is approximately 2.0 minutes.

Therefore, it would take approximately 1.99 minutes for the element to decay to 80 grams.  

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