Step-by-step explanation:
Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
If we plug in 0 for x, we can receive the data for the year 1982. Doing so shows us that the Rural area was 1,417.4 million acres and the total area was 1,839.4 million acres. Therefore, we can conclude that the majority of the area of the United States was rural in 1982.
Answer:
y = x² + 3x - 40
Step-by-step explanation:
Given the zeros are x = - 8 and x = 5, then the factors are
(x + 8) and (x - 5) and
y = (x + 8)(x - 5) ← expand factors
y = x² - 5x + 8x - 40, hence
y = x² + 3x - 40 ← in standard form
Answer:
∠HDC ≅ ∠HDE, AB ≅ BC, HC ≅ HE
Step-by-step explanation:
yup