Answer/Step-by-step explanation:
9. 17x = 16x + 5 (alternate exterior angle)
17x - 16x = 5
x = 5
Measure of bolded angle = 17x = 17 * 5 = 85
10. 21x - 6 = 20x (corresponding angels)
21x - 20x = 6
x = 6
Measure of bolded angle = 20x = 20(6) = 120
11. (x + 95) + (x + 105) = 180 (linear pair angles)
2x + 200 = 180
2x = 180 - 200
2x = -20
Divide both sides by 2
x = -10
Measure of bolded angle = x + 105 = -17 + 105 = 88°
12. 12x - 4 = 11x + 3 (vertical angles)
Collect like terms
12x - 11x = 4 + 3
x = 7
Measure of bolded angle = 11x + 3 = 77 + 3 = 80°
Take the area of the triangle and multiply it by two because there's two triangles and do the same with the rectangle and then add them together
The answer is 2 because it is quadratic equation
Answer:
y = 3/4 x + 1/4
Step-by-step explanation:
line through the points (1, 1), (5, 4)
slope (m) = (4 - 1) / (5 - 1) = 3/4
y = mx + b b = y - mx ... for point (1 , 1)
b = 1 - 3/4 = 1/4
Line: y = 3/4 x + 1/4
check for point (9 , 7): 3/4 * 9 + 1/4 = 28/4 = 7
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Distribute
1/2 x + 3 = 18
Subtract 3 from each side
1/2x +3-3 = 18-3
1/2x = 15
Multiply each side by 2
1/2x*2 = 15*2
x = 30