Answer and Step-by-step explanation:
19.
We see that AB bisects PQ, forming the two angles we are given. These two added together is equal to 180 (because they are supplementary angles, which add up to 180 degrees).
So, add them together, set it to 180, and solve for x.
6 + 2x + 4 = 180
Combine like terms.
10 + 2x = 180
Subtract 10 from both sides from the equation.
2x = 170
Divide by 2 on both sides of the equation.
x = 85 <- This is the answer.
For the following problems, since we know that point P is bisecting the segments, it means that it is splitting the segment in half, creating two equal parts. This means that all we have to do is set the two segments equal to each other.
20.
2x + 3 = x + 7
Subtract 3 and subtract x from both sides of the equation.
x = 4 <- This is the answer.
21.
4x + 3 = 8x - 11
Add 11 and subtract 4x to and from both sides of the equation.
14 = 4x
Divide by 4 from both sides of the equation.
x = [tex]\frac{14}{4} =\frac{7}{2} =(3.5)[/tex] < - This is the answer.
22.
7x - 3 = 5x + 2
Subtract 5x from both sides of the equation and add 3 to both sides of the equation.
2x = 5
Divide both sides by 2.
x = [tex]\frac{5}{2} = 2.5[/tex] <- This is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
