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Andrei [34K]
3 years ago
11

I have my geometry midterm on Friday and I don't know how to do this problem. Someone help?

Mathematics
1 answer:
sineoko [7]3 years ago
8 0
Since the lines u and v are parallel, this means that the angles (10x - 5) = (7x + 4)
and that 7x + 4 + y = 180. 

You can solve the first equation for x, then substitute that value into the second equation and rearrange for y. 

10x - 5 = 7x +4
3x -5 = 4
3x = 9
x = 3°

∴ 7(3) + 4 + y = 180
25 + y = 180
∴ y = 180 - 25
 y = 155°
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matrenka [14]

Answer:

<h2><em><u>Option</u></em><em><u> </u></em><em><u>B</u></em><em><u>:</u></em></h2><h3><em><u>112</u></em><em><u> </u></em><em><u>families</u></em><em><u> </u></em></h3>

Step-by-step explanation:

<em><u>Given</u></em><em><u>,</u></em>

No. of families = 75

Out of 75 no. of families had cars = 42

Out of 1, no. of families can have cars

=  \frac{42}{75}

<em><u>Therefore</u></em><em><u>, </u></em>

Out of 200 families, no. of families had cars

= 200 \times  \frac{42}{75}

=200 \times   \frac{14}{25}

= 8 × 14

= 112

<em><u>Hence</u></em><em><u>, </u></em>

<em><u>option</u></em><em><u> </u></em><em><u>B</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u> </u></em><em><u>as</u></em><em><u> </u></em><em><u>112</u></em><em><u> </u></em><em><u>families</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>cars</u></em><em><u> </u></em><em><u>out</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>200</u></em><em><u> </u></em><em><u>families</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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Hope this helps. :)</span>
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