Points X and Y have coordinates \((\frac{1}{2}, \frac{5}{2})\) and (4,6), respectively. What is the length of the line \(\overleftrightarrow{XY}\)?

Ray \(\overrightarrow{YK}\) divides the angle \(\angle XYZ\) into angles \(\angle XYK\) and \( \angle KYZ\). \( \angle XYK\) is 5 more than 3 times the measure of \(\angle KYZ\). If the measure of \(\angle XYZ\) is \(73 ^\circ\), what is the measure of \(\angle KYZ\)?

Your friend is a new beekeeper and asks you for help because his bee population has declined and he doesn’t know why. You discover that the hive had been exposed to pesticides and also is infested with mites. You help your friend get rid of the mites and pesticides, and their population increases. The graph below shows several population counts over the span of 50 days. Estimate the average rate of repopulation in the hive per day between days 20 and 40.

Line segments \(\overline{WX}\) and \(\overline{YZ}\) are \( \parallel\). Transversals \(\overline{AB}\) and \(\overline{CD}\) cross \(\overline{WX}\) and \(\overline{YZ}\), intersecting at point Q. If \(\angle Q\) is \( 47 ^\circ \) and \(\angle QBC \) is \(62 ^\circ\), what is the measure of \(\angle CDA\)?

\(triangle XYZ\) below has its three vertices at (2,0), (2,-3) (5,0).

 What is the slope of \(overline{XY}\)?

\(\triangle XYZ\) below has its three vertices at (2,0), (2,-3) (5,0). 

What is the midpoint of \(\overline{YZ}\)?

The sum of angles \(\angle W\) and \(\angle X\) is \(45 ^\circ\). The sum of angles \(\angle W\)and \(\angle Y\) is \(135 ^\circ\). The sum of angles \( \angle X\) and \(\angle Z\) is \(90^\circ \). What is the sum of angles \(\angleY\) and \(\angle Z\) in degrees?

What are all the values of n such that any line that passes through the points (1, n) and (1, 6) will have a slope of 0?

If \(\angle X\) and \( \angle Y\) are complementary and \(\angle X = 2 \frac{1}{2} \angle Y\), then what is the measure of \(\angle X\)?

Points W, X, Y, and Z are all collinear. If Z is between W and Y, which of the following 4 statements, if any, must be true such that \(2 \overline{ZY} + \overline{YX} = \overline{WX}\) is always true?

1. 1. 1. 1. 1. 1. 1. \( \overline{WZ} = \overline{ZY}\)
                  2. \( \overline{ZY} = \overline{YX}\)
                  3. X must be between W and Y
                  4. Y must be between Z and X

What is the slope of \(\overline{AC}\)?

What is the distance between points A and C?