N 12 P
13
12
24
26
M
x L
R
22
Q
The polygons are similar. Find the value of x.

Question

Answered

Answer :

olumideolawoyin olumideolawoyin · Answer 1 · 2024-07-09T01:43:03-04:00

Answer:

x = 11

Step-by-step explanation:

Since the polygon are similar, then their similarity ratio:

JK/NP = ML/RQ

6 / 12 = x / 22 Divide the numerator and denominator of LHS by 6.

1 / 2 = x / 22

2x = 22 Divide both sides by 2

x = 22 / 2

x = 11

Answer Link

jimrgrant1 jimrgrant1 · Answer 2 · 2024-07-09T01:50:45-04:00

Answer:

x = 11

Step-by-step explanation:

Given the polygons are similar, then the ratios of corresponding sides are in proportion

ML and RQ are corresponding sides

JK and NP are corresponding sides , then

[tex]\frac{ML}{RQ}[/tex] = [tex]\frac{JK}{NP}[/tex] ( substitute values )

[tex]\frac{x}{22}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross multiply )

2x = 22 ( divide both sides by 2 )

x = 11