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3 years ago

The two parallelograms in the figure are similar. What is the value of x?

Mathematics

2 answers:

puteri [66]3 years ago

5 0

Answer:

The answer is D, 30.4

Step-by-step explanation:

Because the two parallelograms are similar, the relationship between the sides of them are directly proportional.

So:

$\frac{9}{8} =\frac{x}{27}$

Cross multiply

8x = 243

÷8 both sides

x = 30.375 ≈ 30.4

The answer is D, 30.4

12345 [234]3 years ago

3 0

ANSWER

D. 30.4

EXPLANATION

The two parallelograms are similar, therefore the corresponding sides must be in the same proportion:

$\frac{x}{9} = \frac{27}{8}$

Multiply both sides of the equation by 8. This implies that,

$x = \frac{27}{8} \times 9$

$x = 30.375$

Rounding to the nearest tenth gives us:

$x = 30.4 \: units$

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