Answer:
NR = 12
Step-by-step explanation:
Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:


Cross multiply


(addition property of equality)

Divide both sides by 10
x = 7
✔️NR = 2x - 2
Plug in the value of x
NR = 2(7) - 2 = 14 - 2
NR = 12
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7.2, PQ is in the middle of two corresponding angles (M and O)
let the number is 10x + 3.
then sum of its digits = x + 3.
from given condition, we have
x+3 = (1/7)* (10x + 3)
=> 7x + 21 = 10x + 3
=> 3x = 18
=> x = 6
therefore the number is 63.