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3 years ago

Find WV A 7 B 23 C 84 D 145

Mathematics

1 answer:

user100 [1]3 years ago

8 0

Comparing the two triangle above, we can state:

a) The side WZ = side YZ
b) The side VZ = XZ
c) Angle WZV = Angle XZY (Vertical Angles)
d) XY is parallel to WV
e) So, Angle XYZ = Angle VWZ

Thus, we can conclude that the two triangles are exactly equal in measure. All the sides and angles of the triangle have the same measure.

So, Side WV = Side XY

12x - 61 = 3x + 2
12x - 3x = 2 + 61
9x = 63
x = 7

So, length of WV will be = 12(7) - 61 = 23

Thus, the answer to this question is 23

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3 years ago

One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o

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18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

Solution:

Given that,

A swimming pool is in the shape of a rectangular prism

Length = 20 feet

Width = 10 feet

Height = 5 feet

Find the surface area of prism

$A=2(wl+hl+hw)$

Where, "l" is the length and "w" is the width and "h" is the height

$A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700$

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

$1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33$

Thus 9.33 quarts of paint is needed to cover 700 square feet

How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

4 0

3 years ago

The perimeter of a rectangle is 40 feet. The ratio of the width to the length is 2:3 find the length and the width

ziro4ka [17]

Width : Length

2 : 3

Perimeter = 2* width + 2*length

Ratio becomes:

Width : Length

4 : 6

Total units = 4 + 6 = 10

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Answer: Width is 8 ft and Length is 12 ft.

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Answer:

10 hours to do it

Step-by-step explanation:

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3 years ago

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