Question

I need help with question 2

Answer 1

C

Explanation:

Angle CAD and angle BAD are congruent.

10x - 7 = 3x+ 7

10x - 3x = 7 + 7

7x = 14

(7x)/7 = 14/7

x = 2

Plug in x as 2.

10(2) - 7

20 - 7

= 13

Answer 2

C

Explanation:

Since BD and DC are congruent, we know that DA bisects <BAC.

This means that <BAD and <CAD are congruent.

We can set up an equation for that.

3x+7=10x-7

Subtract 3x from both sides.

3x-3x+7=10x-3x-7

7=7x-7

Add 7 to both sides.

7+7=7x-7+7

14=7x

Divide both sides by 7.

x=2

Plug that back into expression for m<CAD.

10x-7

10(2)-7

20-7

13 degrees.