Question

Segament AB is the perpendicular bisector of segamant CD if CD =10, CX=3x+2 & XD = 8x-3 find x hurry

Answer 1

x=1

Explanation:

To find the value of x, we can use the property of a perpendicular bisector. A perpendicular bisector is a line that divides another line segment into two equal parts and forms a right angle with it123.

Given that Segment AB is the perpendicular bisector of Segment CD, we can conclude that Segment AC is equal to Segment BC.

We are given that CD = 10 and CX = 3x + 2. Since AC = BC, we can set up an equation:

3x + 2 = 10 - (8x - 3)

Copy

Simplifying the equation:

3x + 2 = 10 - 8x + 3

11x + 2 = 13

11x = 11

x = 1

Therefore, the value of x is 1.

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