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3 years ago

Find the value of x in the figure below if RE is parallel to PM.

Mathematics

1 answer:

disa [49]3 years ago

8 0

Answer:

Option C. 7.2 units

Step-by-step explanation:

we know that

triangle PAM is similar to triangle RAE by AA Similarity Theorem

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

$\frac{PA}{RA}=\frac{AM}{AE}$

substitute the given values

$\frac{20+x}{20}=\frac{25+9}{25}$

solve for x

$\frac{20+x}{20}=\frac{34}{25}$

$20+x=\frac{34}{25}(20)$

$x=\frac{34}{25}(20)-20$

$x=7.2\ units$

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Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

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