Question

PLEASE HELP ME! QUICK POINTS FOR YOU!

All information needed is in the image below.

Please answer all parts!

Answer 1

The answer I got was

3(-26+8) = -54

2(-26)-4 = -56

Explanation:

3(x+8)=2x−4

(3)(x)+(3)(8)=2x+−4(Distribute)

3x+24=2x+−4

3x+24=2x−4

Then subtract 2x from each side

Once then you have X substitute that number with X and you should get your answer.

So do 3(-26+8) and then 2(-26)-4 which then

3(-26+8)=

2(-26)-4 =

Answer 2

x = 14

∠ABD = 66

∠DBC = 24

Explanation:

The sum of the two angles is 90 degrees, so:

3 (x + 8) + 2x - 4 = 90 (distribute 3)

3x + 24 + 2x - 4 = 90 (simplify)

5x + 20 = 90 (subtract 20 from both sides)

5x = 70 (divide both sides by 5)

x = 14

∠ABD = 3 (x + 8) (plug in 14)

∠ABD = 3 (14 + 8) simplify

∠ABD = 3 (22)

∠ABD = 66

∠DBC = 2x - 4 (plug in 14)

∠DBC = 2(14) - 4 (simplify)

∠DBC = 28 - 4

∠DBC = 24

To check, 66+24=90.