Question

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

Answer 1

Answer:

C. $19$

Step-by-step 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:

$\frac{2x}{2}=\frac{12}{2}$

$x=6$

DC $=4x-5$

$=4(6)-5$

$=24-5$

$=19$