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andrezito [222]
3 years ago
11

Please help me out please

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

40

Step-by-step explanation:

Remark

The catch is that all of the sides given are radii of a circle (the circumcircle in this case.)

Take and two given lines. Equate them. Solve for x. Then go back and substitute x for RC.

Equation

PC = RC

3x + 7 = 5x - 15

Solution

3x + 7 = 5x - 15                   Add 15 to both sides

3x + 7 + 15 = 5x - 15 + 15    Combine like terms

3x + 22 = 5x                        Subtract 3x from both sides

3x - 3x + 22 = 5x - 3x         Combine like terms.

22 = 2x                                Switch and divide by 2

2x/2 = 22/2                         Solve

x = 11

Answer

RC = 5x - 15

RC = 5*11 - 15

RC = 55 - 15

RC = 40

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