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:
[tex] \frac{40}{8} = \frac{60}{2x - 2} [/tex]
[tex] 5 = \frac{60}{2x - 2} [/tex]
Cross multiply
[tex] 5(2x - 2) = 60 [/tex]
[tex] 10x - 10 = 60 [/tex]
[tex] 10x = 60 + 10 [/tex] (addition property of equality)
[tex] 10x = 70 [/tex]
Divide both sides by 10
x = 7
✔️NR = 2x - 2
Plug in the value of x
NR = 2(7) - 2 = 14 - 2
NR = 12
