Answer:
<h2>
E) 84</h2><h2 />
Step-by-step explanation:
side AB is congruent to side AX
this means that the angle ∠A = 4x is the same angle as ∠Z
therefore ∠A = ∠Z = 4x
inside angle of a triangle = 180
∠A + ∠B + ∠Z = 180
4x + 7x + 4x = 180
15x = 180
x = 180/15
x = 12
now substitute x = 12 into angle B
∠B = 7x
∠B = 7 (12)
∠B = 84
therefore, the answer is E) 84
Answer: 24a + 6
Step-by-step explanation: 8 + 18a - 2 + 6a
8 - 2 =6
18a + 6a =24a
6 + 24a or 24a + 6
Answer:
-77, -78, -79
Step-by-step explanation:
let one of the integers be x
since the integers are consecutive, the other 2 integers must be
(x+1) and (x+2)
given that sum of the integers is -234,
x + (x+1) + (x+2) = -234
x + x + 1 + x + 2 = -234
3x + 3 = -234 (subtract 3 from both sides)
3x = -234-3
3x = -237 (divide both sides by 3)
x = -237 / 3
x = -79 (answer)
hence the other two numbers are
(x + 1) = -79 + 1 = -78 (answer)
and
(x+2) = -79 + 2 = -77 (answer)
Ans) The prime factorization of 90 is 2 × 3 × 3 × 5.
