Find the values of x and y so that ABCD will be a parallelogram.
24°
(y – 10°
32°
(4x)
x = 20, y = 42
x = 6, y = 22
Ox=6, y = 42
x = 20, y = 22

Find The Values Of X And Y So That ABCD Will Be A Parallelogram.24(y 1032(4x)x = 20, Y = 42x = 6, Y =

Answers

Answer 1

Given:

Figure of a parallelogram.

To find:

The values of x and y.

Solution:

If two parallel lines intersected by a transversal line, then the alternate interior angles are congruent.

[tex]4x=24[/tex]            (Alternate interior angles)

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

And,

[tex]y-10=32[/tex]            (Alternate interior angles)

[tex]y=32+10[/tex]

[tex]y=42[/tex]

The value of x is 6 and the value of y is 42.

Therefore, the correct option is C.


Related Questions

Can you help me with this one math problem please?
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Answer:

240

Step-by-step explanation:

if you mulitiply 6 and 5 to get 30 times 8 you get 240

sorry if wrong

Freddie made the number line below to model the laps he walks around a track at his
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Answer: 6 laps

Step-by-step explanation: 1/4 x 6 = 1 and 1/2

The number of laps Freddie walk around the track is, 4

What is division?

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Freddie made the number line  to model the laps he walks around a track at his school,

And each lap is 0.25 miles,

And Freddie walks a total of 1 mile,

So to find the number of laps he walks,

we can divide the total distance by the distance per lap:

Number of laps = 1/0.25  mile/miles per lap

                          = 4 laps

Hence, the number of laps is 4

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Help I don’t know what I’m doing

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Answer:

[tex] {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓[/tex]

2³'⁵ is the right answer.

If the ratio of boys to girls is 1:2 and there are 10 girls in your class, how many boys are there?

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Answer:

5

Step-by-step explanation:

divide 10 by 2

Answer:

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Please help me. I don't understand this.​

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Answer:

Neither  do i

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heehee

Step-by-step explanation:

EF/DF

EF/DE

(the last one)

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Write down the size of angle ABC.
Give a reason for your answer.

Answers

Answer:

Angle ABC = 90°

Step-by-step explanation:

Angle AOC= 180°

so Angle ABC = 0.5 x AOC

or another way to explain is

Rule 1: Angles in semi circle are always 90°

consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?

Answers

Answer:

because a co-efficient is the multiplicative factor in polynomials and it's minus 4 before the y. you would just take the minus and put it with the 4 otherwise it would just be floating there ig.

Step-by-step explanation:

help me, 2+4 3 ×4+(2×9)

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It should be 192 I’m pretty sure

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Answer:

=2 (2/3)-5 (1/4) (putting the values of x and y)

=4/3-5/4

=4-5/4

-1/2

Answer:

1/12

Step-by-step explanation:

2(2/3) = 4/3 and 5(1/4) = 5/4

Will's age is 3 years more than twice Anne's. He is 15. How old is
Anne? _____

Answers

Will is 33 years old

Annie is 6 years old

15-3=12

12 divided by 2 is 6

I need help with 1 - 4 please

Answers

Answer:

I'll help u with #1 then u can do the others hopefully

Step-by-step explanation:

y=mx+b

1. slope=m

slope=1.5 so y=1.5x+b

y-intercept=b

y-intercept=5 (because (0, 5) means x is 0 and y is 5, which is that point)

Answer: y=1.5x+5

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Yes, SAS (Side Angle Side)

can someone help me out here ??

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Answer:

6.04 inches

Step-by-step explanation:

1 in. = 100 Ft.

604 Ft / 100Ft = 6.04

Answer:

6.04 inches

Step-by-step explanation:

Given expression: 604 ÷ 100

The actual height of the building is 604 feet, and if Corbin wants to scale it down 1:100, then he would divide the height of the building by 100 to get the height in inches of the model.

Can someone help me with this

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Answer:

sas

Step-by-step explanation:

Type and equation for the following pattern.

Answers

Answer:x^2 -1

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Step-by-step explanation:

If a = 2 then what is 3a + 1?

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Answer:

7

Step-by-step explanation:

3(2) + 1

3 x 2 = 6

6 + 1 = 7

Answer:

7

Step-by-step explanation:

3(2) + 1

6 + 1

=7

3. Find the values of the variables and the lengths of the sides of this kite.

y - 3

x+2

2x+2

x+11

A. x = 9, y = 14; 11, 20

B. x = 14, y = 9; 11, 11

C. x = 14, y = 9; 6, 16

D. x = 9, y = 14; 6, 16

Answers

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

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⇒y - x = 2 + 3 = 5

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Also, given

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⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

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⇒ CD = 9 + 11 = 20

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⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

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The correct option is A. x = 9, y = 14 , Sides are 11 and 20

List the elements in the set . Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. (B ∪ A)'

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Answers

Answer:

the slope is -3 and the y intercept is 12

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Answers

Answer: c I’m pretty sure

Step-by-step explanation:

Hi. I need help with these questions (see image)
Please show workings.

Answers

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

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Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

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[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

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Answer:

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Step-by-step explanation:

Carmen spent $68.99 on a new coat and $31.85 on a new pair of boots about how much more did the coat cost in the boots ​

Answers

Answer:

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Step-by-step explanation:

Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27

Answers


8x + 3y = 45 * -2
2x + 3y = 27 * 8

-16x - 6y = 90
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24y = 216
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8x + 3y = 45
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x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

What are linear equations?

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

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6x = 18

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8x + 3y = 45

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Which of the following equations is equivalent to 2/3a - 7 = 1/3

Answers

Answer:

a = 11

Step-by-step explanation:

Given the equation 2/3a - 7 = 1/3

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McKenna earns $12 per hour mowing her grandmother yard.

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Answer:

???

Step-by-step explanation:

PLEASE HELP URGENT!!

Answers

Answer:

mathw a y

Step-by-step explanation:

use mathw a y to help solve questions like this

The ratio of chairs to tables at a certain restaurant is 20 to 3. If there are 120 chairs in the restaurant, how many tables are there?

Answers

Answer:

20

Step-by-step explanation: 20 divided by 3 is 6, so if you divided that 120 by 6 you get 20.

Please help, synthetic Division. will give brainlist

Answers

Answer:

[tex]\frac{x^3 +7x^2-2x-6}{x+ 7} \ = \ x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Step-by-step explanation:

Given polynomial function;

x³ + 7x² - 2x - 6

divisor of the polynomial = x + 7

The function is divided as follows;

                                   x²  - 2

                               ---------------------------

                  x + 7   x³ + 7x² - 2x - 6

                              - (x³  + 7x²)      ↓

                              -----------------------------

                                                 -2x - 6

                                               - (-2x - 14)

                               -----------------------------------

                                                           8

Since there is a remainder of 8, then the result is expressed as follows; [tex]q(x) + \frac{r(x)}{b(x)} = x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

                       

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?

Answers

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

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x = ✓2500

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Therefore, the length is 50feet

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