avinwshgtn1375 avinwshgtn1375
  • 28-04-2021
  • Mathematics
contestada

Exam
AABC ~ AQRS
Find the missing side length, m.
B
10
m
А
6
9
m = [?]

Exam AABC AQRS Find the missing side length m B 10 m А 6 9 m class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 03-05-2021

Answer:

m = 15

Step-by-step explanation:

Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:

QR/AB = QS/AC

QR = m

AB = 10

QS = 9

AC = 6

Plug in the values

m/10 = 9/6

m/10 = 3/2

Cross multiply

2*m = 3*10

2m = 30

m = 30/2

m = 15

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