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vesna_86 [32]
3 years ago
14

Find the measure of X

Mathematics
2 answers:
Artemon [7]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal for parallel lines

135 = 15(x+2)

Divide by 15

135/15 = 15/15(x+2)

9 = x+2

Subtract 2

9-2 = x+2-2

x = 7

melomori [17]3 years ago
7 0

Answer:

7

Step-by-step explanation:

135 = 15*(x+2)

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Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.
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Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.   How many more hours  does Liza have to drive?

<em><u>Answer:</u></em>

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

Given that Liza is driving to her sister's house 360 miles away

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After 4 hours, Liza is 2/3 of the way there.

\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240

So Liza has covered 240 miles in 4 hours

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speed = \frac{distance}{time}

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Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2

Thus Liza need to drive 2 more hours to reach her sister house

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