Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
Answer:
∠ 1 = 20°, ∠ 2 = 160°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and are supplementary, that is sum to 180°
x - 12 + 5x = 180 , that is
6x - 12 = 180 ( add 12 to both sides )
6x = 192 ( divide both sides by 6 )
x = 32
Thus
∠ 1 = x - 12 = 32 - 12 = 20°
∠ 2 = 5x = 5 × 32 = 160°
Answer:
x = -78
Step-by-step explanation:
Write and solve an equaiton of ratios, as follows:
hypotenuse to hypotenuse:
57 51
----------------- = ---------------
2x + 7 x + 4
Cross-multiplying, we get:
57x + 228 = 102x + 351
Combining the x terms on the right, we get:
228 = 45x + 351
Combining the constants on the left:
-123 = 45x, and so x = -123/45 = -78
x = -78
Answer:
False
Step-by-step explanation:
John C. Calhoun advocated states' rights as a means of preserving slavery in the South
