We have been given an image of a trapezoid. We are asked to find the measure of angle M and N.
We know that bases of trapezoid are parallel and the two angles between two parallel lines are supplementary, so we can set an equation as:
Upon substituting value of y in measure of angle M, we will get:
Therefore, measure of angle M is 110 degrees.
Similarly, we will find the value of angle N as:
Therefore, measure of angle N is 70 degrees.
Answer:
14 miles per hour
Step-by-step explanation:
The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour
50% of 600 is 300, so if there was an increase so its 900
Answer:f(x) = 2x³ - x² - 9x + 6
0 = 2x³ - x² - 9x + 6
0 = 2x³ + 3x² - 4x² - 3x - 6x + 6
0 = 2x³ + 3x² - 3x - 4x² - 6x + 6
0 = x(2x²) + x(3x) - x(3) - 2(2x²) - 2(3x) + 2(3)
0 = x(2x² + 3x - 3) - 2(2x² + 3x - 3)
0 = (x - 2)(2x² + 3x - 3)
0 = x - 2 or 0 = 2x² + 3x - 3
+ 2 + 2 x = -3 ± √(3)² - 4(2)(-3)
2 = x 2(2)
x = -3 ± √9 - 4(-6)
4
x = -3 ± √9 + 24
4
x = -3 ± √33
4
x ≈ -3 ± 5.74
4
x ≈ -3 + 5.74 or x ≈ -3 - 5.74
4 4
x ≈ 2.74 or x ≈ -8.74
4 4
x ≈ 0.685 or x ≈ -2.185
Step-by-step explanation:
