Question

Find the measure of the line segment AD

Answer 1

18

Step-by-step explanation:

Since AB ≅ BD that means they equal the same

2x + 3 = 5x - 6

First: subtract 2x from both sides thus giving you

3 = 3x - 6

Second: add six to both sides, divide by three and simplify

9 = 3x

`(9)/(3)` =
`(3x)/(3)`

x = 3

Lastly: substitute values of x and simplify

AB = 2(3) + 3 = 9

BD = 5(3) - 6 = 9

9 + 9 = 18

AD = 18

Answer 2

The measure of segment AB is 2x-3 and the measure of segment BD is 5x-6.
If you want to find the measure of segment AD you have to add up AB and BD

So
`2x-3+5x-6`, combine like terms 2x+5x equals 7x and -3-6 equals -9, so the measure of segment AD is
`7x-9`