Question

Options are A. 17 B. 50 C. 19 D.21

Answer 1

C.
`19`

Explanation:

BD = DC because angles ADC and ADB are right angles.

Thus,
`4x-5=2x+7`

Add 5 to both sides:

`4x-5+5=2x+7+5`

`4x=2x+12`

Subtract 2x from both sides:

`4x-2x=2x+12-2x`

`2x=12`

Divide both sides by 2:

`(2x)/(2)=(12)/(2)`

`x=6`

DC
`=4x-5`

`=4(6)-5`

`=24-5`

`=19`