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3 years ago

What is the value of x? (As a decimal )

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

Step-by-step explanation:

ΔNPM and ΔABM are similar (AAA). Therefore the corresponding sides are in proportion:

$\dfrac{NM}{AM}=\dfrac{PM}{BM}$

We have

$NM=67.2m,\ AM=67.2m-32m=35.2m,\ PM=81.9m,\ BM=x$

Substitute:

$\dfrac{67.2}{35.2}=\dfrac{81.9}{x}$ <em>cross multiply</em>

$67.2x=(35.2)(81.9)[\tex][tex]67.2x=2882.88$ <em>divide both sides by 67.2</em>

$x=42.9\ m$

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If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.

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