Answer:
x = 70; the labeled angles are 110º and 70º.
Step-by-step explanation:
The full degrees will add up to 180º. There are 2x and +40.
Equation: 
Solve: 
Since x=70, 70+40 will equal to 110.
Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.
Answer:
x = 1/3
Step-by-step explanation:
9x - 4 = -1
9x = -1 + 4
9x = 3
Step-by-step explanation:
The perpendicular line has a slope that is the negative reciprocal of the other line's slope. So, in this case, the slope should be 1/3 (it's positive because a negative times a negative is a positive). This gets rid of all of the answers except for the last, I suppose.
Answer:
k = 2
Step-by-step explanation:
Given that x = - 1 is a root of the equation, then it satisfies the equation.
Substitute x = - 1 into the equation and solve for k, that is
3(- 1)² - 2k - 2(- 1) - 1 = 0
3 - 2k + 2 - 1 = 0
- 2k + 4 = 0 ( subtract 4 from both sides )
- 2k = - 4 ( divide both sides by - 2 )
k = 2
Find out what half of 39° (angle ABD) Then subtract that from 180° (angle ABE). When the plain flus faster angle (ABD) gets smaller and angle (ABE) gets bigger. Hope that helps.
