Mathematics College

Which of the following angles is not congruent to angle 3

Answers

Answer 1

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Answer 2

Angle 3 is not equal to angle 2.

What is property of parallel lines?

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

As,

angle 3 = angle 1 (Corresponding angle)

angle 3 = angle 6 ( alternate interior angle)

angle 3= angle 8 (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

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Related Questions

The sum of two numbers is -45, one number is 9

Answers

Answer:

-54 is the second number

Step-by-step explanation:

9 + x = -45

subtract 9 from both sides

x = -54

hope this helps

PLS HELP These tables represent a quadratics function

Answers

Answer:

Step-by-step explanation:

is moving by 2 but there negative numbers which makes it -2

You play a game that requires rolling a six sided die then randomly choosing a card from a deck containg 8 red cards ,6 blue cards and 8 yellow cards whats the probability that younroll a 3 on the due and choose a red card

Answers

Answer:

2/33

Step-by-step explanation:

Probability that a 3 is rolled on the die = 1/6 (equal chance of rolling any number)

Probability of choosing a red card = 8/22 (8 red cards, 22 cards in total)

8/22 = 4/11

Probability of rolling a 3 AND choosing a red card = 1/6 x 4/11

= 4/66

= 2/33

In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.

Answers

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= $\frac{18}{36}$

hence, percentage of people who liked blue cars= (18/36)*100 %

= 50%

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

Answers

Answer:

Step-by-step explanation:

James is thinking of 6 miles as the total distance and 1/4 mile as one part of that distance. To find out how many parts of 1/4 mile he would have to walk to cover 6 miles, he needs to divide 6 by 1/4.

To perform this division, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.

The reciprocal of 1/4 is 4, so to divide 6 by 1/4, we multiply 6 by 4:

6 * 4 = 24

So, the quotient of 6 and 1/4 is 24.

Find the length of the diagonal of a square with perimeter 32.A.$4 \sqrt{2} $B. 8C.$2 \sqrt{2} $D. 45E.$8 \sqrt{2} $

$Find the length of the diagonal of a square with perimeter 32.A.[tex]4 \sqrt{2} [/tex]B. 8C.[tex]2 \sqrt{2}$

Answers

ANSWER

$E.8\sqrt[]{2}$

EXPLANATION

The square has a perimeter of 32.

The perimeter of a square is given as:

$P=4\cdot L$

where L = length of the side of the square

Therefore, we have that for the given square:

$\begin{gathered} 32=4\cdot L \\ \Rightarrow L=\frac{32}{4} \\ L=8 \end{gathered}$

The square has sides 8 units long.

To find the length of the diagonal, apply Pythagoras theorem, since the diagonal forms a right triangle with the sides of the square:

$\text{hyp}^2=a^2+b^2$

where hyp = hypotenuse of the triangle (diagonal)

a, b = legs of the triangle (side lengths of the square)

Therefore, we have that:

$\begin{gathered} D^2=8^2+8^2 \\ D^2=64+64=128 \\ D=\sqrt[]{128} \\ D=8\sqrt[]{2} \end{gathered}$

That is the length of the diagonal.

1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1

Answers

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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us
Find the value of x. Round to the
nearest tenth.
35
X
12
x = [?]
Enter

Answers

Answer:

X=12/tan35⁰

x=17.138

In the tenth

x=17.14

Answer:

17.1

Step-by-step explanation:

perimeter.
6) A quadrilateral can have 2
reflex angles.

Answers

Answer:

False

Step-by-step explanation:

Answer:

A quadrilateral can't have 2 reflex angles

Step-by-step explanation:

A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°

Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27). f(x) = -x3 - 4x2 + 3x. Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answers

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

$f(x) = -x^3 - 4x^2 + 3x$.

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.

A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)

Answers

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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3. Journalise the following transactions:
(i) Paid 2,000 in cash as wages on installation of a machine.
(ii) Sold goods to Mr. Chopra at a list price of ₹4,000. Sales
subject to 10% Trade Discount and 5% Cash discount if payment
is made immediately, Mr. Chopra availed of cash discount.

Answers

These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.

The solution for the journalizing of the given transactions can be found below:

Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.

Journal is the first place where every transaction is recorded systematically.

The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.

Transaction

(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction

(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.

This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)

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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Answers

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

How much cheaper is the car washes Malcolm orders than the car washes Martha's order?

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Answers

Answer:

f(x) = 10^x -4

Step-by-step explanation:

The horizontal asymptote of this exponential function is at y=-4, so there is a vertical translation of -4 added to the function. That is, the function is expected to be of the form ...

y = a·b^x -4

The graph crosses 1 unit above the horizontal asymptote at x=0, so there is no horizontal translation. Effectively, a=1 in the above equation.

The graph crosses 10 units above the horizontal asymptote at x=1, so the base of the exponent is b = 10.

The function appears to be ...

f(x) = 10^x -4

Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price

Answers

Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

.08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

A die is rolled then a letter in the word statistics is randomly selected. What is the probability of at least a three, then the letter S?

1/5
1/4
3/20
29/30

Answers

Answer: 3/20 (choice C)

========================================================

Work Shown:

A = probability of getting at least a "3" on the die

A = probability of getting either "3", "4", or "5"

A = 3/6

A = 1/2

B = probability of getting the letter "S" from "Statistics"

B = 3/10 since there are 3 "S" letters out of 10 letters total

C = probability of events A and B happening

C = A*B

C = (1/2)*(3/10)

C = (1*3)/(2*10)

C = 3/20

The probability of at least a three, then the letter S will occur will be 9/60.

Probability of an event is the ratio of number of favorable outcomes to

the total number of outcomes. Probability is a measure of how likely an

event is going to happen. Mathematically, we can write that -

P{E} = (favorable outcomes)/(total number of outcomes)

It is given that a die is rolled then a letter in the word statistics is

randomly selected. Now, the probability of at least a three, then the letter

S will be -

P = 3/6 x 3/10

P = 9/60

Therefore, the probability of at least a three, then the letter S will occur will be 9/60.

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what is this sphere’s volume? radius is given, please round to nearest tenth

Answers

Answer:

179.59438

rounded to the nearest tenth would be 179.6

Step-by-step explanation:

use this formula

volume = (4/3) · π · r3

y = 1/3x -1

x-intercept (3,0)

How did they get this answer? Somebody please help

Answers

The x-intercept of a line is the point where the line crosses the x-axis, which means that the y-coordinate of the point is zero. To find the x-intercept of the line y = (1/3)x - 1, we need to substitute y with zero and solve for x.

Here's how to do it:

Substitute y with zero:
0 = (1/3)x - 1

Add 1 to both sides:
1 = (1/3)x

Multiply both sides by 3:
3 = x

So the x-intercept of the line y = (1/3)x - 1 is (3,0). This means that the line crosses the x-axis at the point (3,0).

In conclusion, the x-intercept of the line y = (1/3)x - 1 is (3,0), which means that the line crosses the x-axis at the point (3,0).

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

$0=\frac{1}{3} x-1$

$1=\frac{1}{3} x$

$x=3$

So x-intercept is the point (3,0).

What is the measure of AK

Answers

Measure of angle AKQ is 90°.

Define angle.

There are several different kinds of angles in geometry. Angle is one of the most significant and fundamental units. When two rays or lines are connected at their common terminus, an angle is created. Angles are used in many facets of daily life, including the construction of buildings, dams, and statues, starting with a pizza slice. Angle has a crucial role in civil engineering. A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

Given

Measure of angle AKQ is 90°.

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PLEASE HELP FAST
50 points

Answers

Answer:

Step-by-step explanation:

I really hope this helps

Answer:

B. 15°

Step-by-step explanation:

Exterior angle is the sum of non-adjacent interior angles:

m∠U + 38° = 53°m∠U = 15°

Correct choice is B

Construct an equation that has n = 6 as its solution. Use n on both sides of the equation.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Determine any equation where n = 6

$n = 6$

Add n to both sides

$n + n = 6 + n$

$2n = 6 + n$ ----- This is 1 equation

$n = 6$

Multiply both sides by n

$n * n = 6 * n$

$n^2 = 6n$ ----- This is another

$n = 6$

Add 5n to both sides

$n + 5n = 6 + 5n$

$6n = 6 + 5n$ ---- This is another

Subtract 10 from both sides

$6n - 10 = 6 - 10 + 5n$

$6n - 10 = -4 + 5n$

$6n - 10 = 5n - 4$ --- This is another

You can have as many equations as possible

Solve for X. 70 degreeright angle 6solve

Answers

ANSWER:

The value of x is 16.49

STEP-BY-STEP EXPLANATION:

We can calculate the value of x by means of the tangent trignometric function, which is the following

$\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \theta=70\text{\degree} \\ \text{opposite = x} \\ \text{adjacent = 6} \end{gathered}$

Replacing and solving for x:

$\begin{gathered} \tan 70=\frac{x}{6} \\ x=6\cdot\tan 70 \\ x=16.49 \end{gathered}$

You put some money in a bank account one year ago. You have not done anything with it since. The bank takes out a low balance fee of $0.25 $ 0 . 25 each month. After 8 8 months, you had $28 $ 28 in the account. Choose the equation that best shows the money in your bank account over time.

Answers

The equation that represents the money in your bank account over time is:

M = 30 - (0.25 * t)

Let's denote the initial amount of money you put into the bank account as "P." We can use this information to determine the equation that represents the money in your bank account over time.

The equation for the money in your bank account over time can be represented as:

M = P - (0.25 * t)

Where:

M represents the money in your bank account at a given time.

P represents the initial amount of money you deposited into the account.

t represents the time in months.

According to the problem, after 8 months, you had $28 in the account. Plugging in these values into the equation, we have:

28 = P - (0.25 * 8)

To solve for P, we simplify the equation:

28 = P - 2

Adding 2 to both sides of the equation:

30 = P

Therefore, the initial amount of money you put into the bank account is $30. The equation that represents the money in your bank account over time is:

M = 30 - (0.25 * t)

This equation shows that the money in your bank account decreases by $0.25 each month, starting with an initial deposit of $30.

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Select the correct answer.

It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.

What method below shows how you would calculate the % increase?

Answers

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

What method below shows how you would calculate the percentage increase?

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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which graph represents this exponential function?
f(x) = 3(2)x -4

Answers

Answer:

show a graph?

Step-by-step explanation:

Directed Line Segments Given the points A(-1, 2) and B(7,8), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3. Previous

Answers

Given the points A (-1, 2) and B (7,8)

Then, we can use the formula:

$undefined$

Directed Line Segments Given the points A(-1, 2) and B(7,8), find the coordinates of the point P on directed

Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.

Answers

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

m represents the slope.c represents the y-intercept.x and y are the data points.

What is y-intercept?

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.

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Write the line equation passing through (-4,-1) and parallel to y=-1/2x+1

Answers

Answer:

$y=-\dfrac{1}{2}x-3$

Step-by-step explanation:

$\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}$

Given equation:

$y=-\dfrac{1}{2}x+1$

Parallel lines have the same slope.

Therefore, the slope of the line parallel to the given equation is:

$m=-\dfrac{1}{2}$

Substitute the found slope and given point (-4, -1) into the point-slope formula:

$\implies y-(-1)=-\dfrac{1}{2}(x-(-4))$

$\implies y+1=-\dfrac{1}{2}(x+4)$

$\implies y+1=-\dfrac{1}{2}x-2$

$\implies y=-\dfrac{1}{2}x-3$

Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:

$\boxed{y=-\dfrac{1}{2}x-3}$

Solve the following equation for x: 2x − 3y = 6. Group of answer choices

Answers

The equation for x is,

⇒ x = 3/2y + 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

2x - 3y = 6

We can simplify the equation as,

2x - 3y = 6

Divide 2 both side,

x - 3/2 y = 3

Add 3/2y both side,

x - 3/2 y + 3/2 y = 3 + 3/2 y

x = 3/2 y + 3

Hence, The equation for x is,

⇒ x = 3/2y + 3

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If y varies directly as x, and y = 8 when x = 4, find y when x = 24.

Answers

The value of y is 48

How to calculate the value of y in the variation ?

y= kx

let's solve for k which is the constant

y= 8 , x= 4

k= 8/4

k= 2

Next is to calculate the value of y when x is 24

y = 2 × 24

y= 48

Hence the value of y is 48