Question

Please if anyone could help me out ! ( picture included)

Answer 1

x = 7

Explanation:

We can write an equation to solve the problem.

(2x + 23) + (9x - 5) = 95

~Combine like terms

11x + 18 = 95

~Subtract 18 to both sides

11x = 77

~Divide 11 to both sides

x = 7

Best of Luck!

Answer 2

• 37°
• 58°

Explanation:

m∠ABC = 95°

∠ABC = ∠ABD + ∠DBC, angle addition postulate

• 2x + 23 + 9x - 5 = 95
• 11x + 18 = 95
• 11x = 95 - 18
• 11x = 77
• x = 7°

The angles

• m∠ABD = 2*7° + 23° = 37°
• m∠DBC = 9*7° - 5° = 58°