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2 years ago

In the figure below, m || h. Find the values of z and y.

Mathematics

2 answers:

lawyer [7]2 years ago

7 0

1192828 and also the coordinates 1227

Law Incorporation [45]2 years ago

6 0

Answer:

z = 107, y = 25

Step-by-step explanation:

z and 73 are same- side interior angles and are supplementary, sum to 180°

z + 73 = 180 ( subtract 73 from both sides )

z = 107

z and (3y + 32) are vertical angles and are congruent, then

3y + 32 = 107 ( subtract 32 from both sides )

3y = 75 ( divide both sides by 3 )

y = 25

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24% of 75 is what number?

mariarad [96]

The answer is 18
75/x = 100%/24%
x/75 = 24/100
you’re answer is 18

6 0

2 years ago

Given -3x + 2y = 1 and x = 5, solve for y. a.-7 b.7 c.-8 d.8

eduard

Answer:

d. 8

Step-by-step explanation:

Given: -3x + 2y = 1 and x = 5

Now plug x =5 in the given equation and find the value of y.

-3(5) + 2y = 1

-15 + 2y = 1

2y = 1 + 15

2y = 16

Dividing both sides by 2, we get

y = 8

Thank you.

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2 years ago

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Sindrei [870]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Find the area of the figure. Round your answer to the nearest tenth.

ollegr [7]

Answer:

$17.3\:\mathrm{m^2}$

Step-by-step explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be $\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}$ . The area of this figure can be given as $b\cdot h$ , therefore our answer is $5\cdot 2\sqrt{3}\approx \fbox{$17.3$}$ .

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by $\frac{1}{2}ab\sin C$ . Since there are 2 of these triangles, the area of the entire figure is $2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}$ .

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3 years ago