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3 years ago

What is the value of y in the parallelogram below?

Mathematics

2 answers:

Furkat [3]3 years ago

7 0

Answer: The value of y is 34 and the correct option is B.

Explanation:

It is given that ABCD is a parallelogram.

From the given figure it is noticed that,

$\angle DAB=76^{\circ}$

$\angle ABC=3y^{\circ}$

According to the properties of parallelogram the consecutive angles of parallelogram are supplementary angles and their sum is 180 degree.

From the figure it is noticed that the angle DAB and angle ABC are consecutive angles of the parallelogram.

$\angle DAB+\angle ABC=180^{\circ}$

$76+3y=180$

$3y=180-76$

$3y=102$

$y=34$

Therefore the value of y is 34 and option B is correct.

vredina [299]3 years ago

4 0

In a parallelogram, consecutive angles are supplementary.

3y + 78 = 180

3y = 102

y = 34

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I NEED HELP ASAP PLZ!!!

polet [3.4K]

1. (7 , 0) and (11 , 3) → B and D

substitute each coordinate point into the left side of the equation and if equal to 21 then it is a solution.

( 7 , 0) → (3 × 7) - ( 4× 0) = 21 - 0 = 21

(11 , 3) → (3 × 11 ) - ( 4 × 3) = 33 - 12 = 21

2. ( 2 , - 9 ) is a solution to the equation

substitute the coordinates into the equation and if equal to 13 the it is the solution.

(2 , - 9 ) → (5 × 2 ) - (-9)/3 = 10 + 9/3 = 10 + 3 = 13

(3 , - 6) → (5 × 3) - (- 6)/3 = 15 + 6/3 = 15 + 2 = 17

thus (2 , -9 ) is the solution

4. x- intercept = (- 45 , 0)

to find the x- intercept let y = 0

1/3 x + 0 = - 15

1/3x = - 15

multiply both sides by 3

x = 3 × - 15 = - 45

thus x -intercept = ( - 45 , 0)

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3 years ago

Arada [10]

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be $x$

Eve's poster portion painted will be

$=\frac{1}{6}\times x\\=\frac{x}6}$

Gerrard's painted portion will be:

$=\frac{1}{5}\times x\\=\frac{x}{5}$

From the two inequalities, we find that $\frac{x}{5}$ is greater than $\frac{x}{6}$ by x/30

$\frac{x}{5}-\frac{x}{6}\\=\frac{x}{30}\\$

hence Gerrard has the larger blue section. His portion is 16.67% greater than Eve's

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3 years ago

If f(x) = 4x - 6, what is f(6)? A. 4 B. 32 C. 3 D. 18

Sliva [168]

Your answer is D you’re welcome!

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3 years ago

What is the volume of this prism? Rectangular prism composed of unit cubes. Prism is 6 units by 9 units by 7 units. units3

adoni [48]

The answer is: " 378 units³ " .
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( 6 units) * ( 9 units) * (7 units) = (6 * 9 * 7) units³ = 378 units³ .
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3 years ago

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What is the value of x when 2x+3=3x-4

slavikrds [6]

2x+3=3x-4
try to isolate the x term
you must do the same thing to both sides or else it won't be equal anymore

2x+3=3x-4
add 4 to both sides
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2x-2x+7=3x-2x
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the answer is x=7

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3 years ago

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