The value of x if YR is a perpendicular bisector of HB is 5
The given parameters are:
YR is a perpendicular bisector of HB.
HY = 7x + 13
HW = 8y - 15
WB = 3y + 21
YB = 12x - 12.
The statement "YR is a perpendicular bisector of HB" implies that:
The line segment YR divides the line segment HB into equal halves
So, we have the following equation
HY = YB
Substitute the known values in the above equation
7x + 13 = 12x - 12
Collect the like terms in the above equation
7x - 12x = -13 - 12
Evaluate the like terms in the above equation
-5x = -25
Divide both sides of the equation by -5
x = 5
Hence, the value of x if YR is a perpendicular bisector of HB is 5
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