The two parallelograms in the figure are similar. What is the value of x?
A. 26
B. 24
C. 28
D. 30.4

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:
[tex]\frac{9}{8} =\frac{x}{27}[/tex]
Cross multiply
8x = 243
÷8 both sides
x = 30.375 ≈ 30.4
The answer is D, 30.4
ANSWER
D. 30.4
EXPLANATION
The two parallelograms are similar, therefore the corresponding sides must be in the same proportion:
[tex] \frac{x}{9} = \frac{27}{8} [/tex]
Multiply both sides of the equation by 8. This implies that,
[tex]x = \frac{27}{8} \times 9[/tex]
[tex]x = 30.375[/tex]
Rounding to the nearest tenth gives us:
[tex]x = 30.4 \: units[/tex]