Question

question 3. mr. thomas draws a diagram with expressions (4x + 12)° and (9x - 33)° into congruent angles. which of the following statements is true? select two correct answers. a. the value of x is 1.02. b. the value of x is 9. c. the value of the angles is 18.48°. d. the value of the angles is 48°. e. the value of the angles equals 90°.

Explanation:

Step1: Set expressions equal

$4x + 12=9x - 33$

Step2: Solve for x

$12 + 33=9x - 4x$, $5x = 45$, $x = 9$

Step3: Find angle value

Substitute $x = 9$ into $4x + 12$, $4\times9+12=48$

Answer:

B. The value of x is 9.
D. The value of the angles is 48°.