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AfilCa [17]
2 years ago
12

The perimeter of the triangle at right is 52 units. Write and solve an equation based on the information in the diagram. Use you

r
solution for to calculate the length of each side of the triangle. Be sure to confirm that your answer is correct. Homework Help
7x-4/
19
Equation:
Solve: z
10x + 3
Length of each side:
Red side:
7x - 4
19
Blue Side:
Yellow Side:
10r+3
(hp

Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0

Answer:

  • equation: (7x-4) +19 +(10x+3) = 52
  • x = 2
  • red: 10
  • blue: 19
  • yellow: 23

Step-by-step explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

  P = red + blue + yellow

  52 = (7x -4) +(19) +(10x +3)

  52 = 17x +18 . . . . . . . . . . . . . . simplify

  34 = 17x . . . . . . . . . . . . . subtract 18

  2 = x . . . . . . . . . . . . divide by 17

__

  red = 7(2) -4 = 10

  blue = 19

  yellow = 10(2) +3 = 23

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