1. 17
2. 34
3. 62
5. 82
6. 10
7. 18
8. 19
9. 91
Answer:
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x <======
50+79=129
180-129=51
X=51
Explanations
Angles on a straight line add up to 180 degrees. So 180-101=79 degrees
50 degrees is an opposite angle so it moves into the internal angle.
Angles in a triangle add up to 180 so (180-50-79=51)
Ans is 51 I think
Answer:
A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°
Step-by-step explanation:
A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)
_____
Given two sides and the included angle, the Law of Cosines can help you find the third side.
... b² = a² + c² - 2ac·cos(B)
... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475
... b ≈ 25.715
Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.
... sin(C)/c = sin(B)/b
... C = arcsin(c/b·sin(B)) ≈ 24.29515°
This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)
... A = arcsin(a/b·sin(B)) ≈ 119.70485°
Answer:
look above
Step-by-step explanation:
hope it helps