What is the answer to this math problem with full work

What Is The Answer To This Math Problem With Full Work

Answers

Answer 1

Answer:

x = 5

MP = 38

Explanation:

The perpendicular bisector chord theorem states that the diameter that is perpendicular to a chord in a circle would divide the chord into two equal segments.

Therefore:

5x - 6 = 2x + 9

Collect like terms

5x - 2x = 6 + 9

3x = 15

x = 15/3

x = 5

✔️Find length of MP

MP = (5x - 6) + (2x + 9)

Plug in the value of x

MP = (5*5 - 6) + (2*5 + 9)

MP = 19 + 19

MP = 38


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