soowooop17
soowooop17 soowooop17
  • 07-06-2022
  • Mathematics
contestada

The quadrilaterals JKLM and PQRS are similar.
Find the length x of QR.
K
Q
7
M
2
Z
3.6
S
1.8
A
X
3.6
R

The quadrilaterals JKLM and PQRS are similar Find the length x of QR K Q 7 M 2 Z 36 S 18 A X 36 R class=

Respuesta :

jimrgrant1 jimrgrant1
  • 07-06-2022

Answer:

x = 6.3

Step-by-step explanation:

since the quadrilaterals are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{QR}{KL}[/tex] = [tex]\frac{RS}{LM}[/tex] ( substitute values )

[tex]\frac{x}{7}[/tex] = [tex]\frac{3.6}{4}[/tex] ( cross- multiply )

4x = 7 × 3.6 = 35.2 ( divide both sides by 4 )

x = 6.3

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