1. A skateboard ramp has a 158º entry angle. Find the measure of ∠1.

A.) 22º
B.) 68º
C.) 78º
D.) 58º

2. Which of the following equations parallel to the line passing through A(-2, 7);B(-2, -2)?
A.) y = -2
B.) y = x
C.) 3x = 5
D.) -2x = 7y

3. Which of the following equations would graph a line parallel to 3y = 2x - x + 5?
A.) 3y = x + 1
B.) y = x + 1
C.) y = 2/3x + 1
D.) 3/2y = x + 1

2 answers

I assume it's 22.

AB is vertical. Which equation is a vertical line?

I suspect a typo (2x-x), but as written, the slope is 1/3. Which of the choices has slope 1/3?
Answers are 100%

1. Option B. (Parallel lines with a line crossed through it.)
2. C. - x=14, y=12
3. C. - Alternate exterior angles
4. C. - A line perpendicular to a given line through a point not on the line.
5. B. - 18
6. B. - m<1=m<8
7. B. - 68 degrees
8. C. - <2 and <7
9. (Short essay) Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. This means that angle 1 = angle 5. If r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6. Angle 1 = angle 5, so r and s are parallel.

10. (short essay) 1. <1 and <5 are supplementary. 1. Given 2. Vertical angles are congruent 3. Substitution. 4. L || M 4. Consecutive Interior Angles Theorem.

11. (Short Essay) B is wrong because they are not supplementary. They a alternate interior angels so they are equal.

12. (Short Essay)
X=81 Z=99 Y=68