Question

Please help how to find the value of x and find the length of segment AD, the value is 5 I just need to show my work.

Answer 1

Answer:

9. x = 5

10. AD = 7

Step-by-step explanation:

As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.

We can substitute to get:

2x - 3 = x + 2

And simplify and solve:

x - 3 = 2

x = 5

AD is just 2x - 3, so we can substitute in x to find AD:

AD = 2(5) -3

AD = 10 - 3

AD = 7