Please help me solve for x = I message my teacher she said the side are not equal to each other, they are proportional ( please help me awnser)

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

13 = x

Verify whether x = 13 is the correct value:

This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

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step-by-step explanation:

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