7
algebra

The perimeter of a triangle is 50. The sides are xx, x+5x + 5, and 2x−32x - 3. What is xx?

A

8

B

10

C

12

D

15

Correct Answer: C

Choice Dhoice A is the correct answer.

  1. Equation: x+(x+5)+(2x−3)=50x + (x + 5) + (2x - 3) = 50
  2. Combine: 4x+2=504x + 2 = 50
  3. Subtract 2: 4x=484x = 48
  4. Divide by 4: x=12x = 12
  5. Verify: 12+17+21=5012 + 17 + 21 = 50 ✓

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice C is incorrect because calculation error.

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Linear Functions Set 31