If MP is a perpendicular bisector to LN, find each value (picture attached)

x=4, MN= 37, LM= 37, y=7.

Step-by-step explanation:

If MP is a perpendicular bisector to LN, then NP and LP are equivalent.

(Solve for y)

2y+2= 16

(Move the +2 to the right side of the equation)

2y= 14

(Divide both sides by 2 to isolate the variable)

y=7

To find x and the measure of MN and LM, solve for x in the following equation:

7x+9 = 11x-7

(Move 7x to the right side of the equation)

9 = 4x-7

(Move -7 to the right side of the equation.)

16= 4x

(Divide both sides by 4 to isolate the variable.)

4= x

Plug x back into both equations to get the measure of MN and ML

MN=7(4)+9

MN= 28+9

MN= 37

LM= 11(4)-7

LM= 44-7

LM= 37

I hope this helps!

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step-by-step explanation: