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Setler79 [48]
3 years ago
14

I need help on how to do this, please. What is the value of x?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0
×=167
180-12=168
× and 13 are linear pair so together they equal 180
Sindrei [870]3 years ago
5 0
Since, the lines are parallel (which means their slopes are equal), they will cut the lines in a proportion. Hence,
\frac{x}{24}  \:  =  \:  \frac{12}{36}
x  \: =  \:  24 \:  \times  \: \frac{1}{3}
x \:  =  \: 8

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Please Answer!!!!
ExtremeBDS [4]

First mug holds the most

<em><u>Solution:</u></em>

Given that,

You are choosing between two mugs

<em><u>The volume of cylinder is given as:</u></em>

V = \pi r^2h

Where,

r is the radius and h is the height

<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>

radius = \frac{diameter}{2}

Therefore,

r = \frac{5.5}{2}\\\\r = 2.75

Also, h = 3 inches

<em><u>Thus volume of cylinder is given as:</u></em>

V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24

Thus first mug holds 71.24 cubic inches

<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>

Radius = \frac{4.5}{2}\\\\r = 2.25

h = 4 inches

Therefore,

V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585

Thus the second mug holds 63.585 cubic inches

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