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4 years ago

Analyze the diagram below and complete the instructions that follow. Find the value of x.

Mathematics

2 answers:

tresset_1 [31]4 years ago

5 0

Make them equal to each other.
x+40=3x-10
50=2x
x=25

Naddik [55]4 years ago

4 0

<h2>Answer:</h2>

The value of x is:

x=25

<h2>Step-by-step explanation:</h2>

As we know that if a transversal divides the two parallel lines then the corresponding exterior angles have the same measure.

Here after looking at the two angles which are marked we observe that they make a pair of corresponding exterior angles.

i.e. both are equal.

i.e.

$x+40=3x-10\\\\i.e.\\\\3x-x=40+10\\\\i.e.\\\\2x=50\\\\i.e.\\\\x=\dfrac{50}{2}\\\\i.e.\\\\x=25$

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Answer:

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Step-by-step explanation:

<u><em>The complete question is</em></u>

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia’s rowing rate each way

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x -----> Alicia's rowing rate downstream in miles per hour

y ----> Alicia's rowing rate upstream in miles per hour

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