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3 years ago

Find the missing measures

Mathematics

2 answers:

Brrunno [24]3 years ago

4 0

Answer:

y=107

x=73

z=73

Step-by-step explanation:

y and 107 are vertical angles, which means that they're the same value because they're vertically across from each other.

107 and x are supplementary angles, so x=180-107 or 73.

x and z are also vertical angles, so x=z=73.

Alecsey [184]3 years ago

4 0

The answer is:

X= 73
Y= 107
Z= 73

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3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

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The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

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Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

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3 years ago

Answer the question math

Lerok [7]

Answer:

$7y-10$

Step-by-step explanation:

$9y-\frac{1}{2}\left(4y+20\right)$

To simplify this expression, first use the distributive property to distribute $\frac{1}{2}$ .

$9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)$

Simplify.

$9y+-2y+-10$

Combine like terms, $9y$ and $-2y$ .

$7y-10$

The simplification of $9y-\frac{1}{2}(4y+20)$ is $7y-10$ .

I hope this helps ^^

Good luck

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3 years ago

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Serga [27]

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2 years ago

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bagirrra123 [75]

Remember you can do anything to an equation as long as you do it to both sides

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3 years ago