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Given the angle measures shown in the diagram below, find the measure of \(\angle XYP\) in degrees.
\(\triangle ABC\) below has a height of 10m and a hypotenuse of length 30m. What is the slope of the hypotenuse?
Parallelogram WXYZ has a height of 8 in. \(\overline{WX}\) is 10 in. What is the x-coordinate of point Y?
In \(\triangle XYZ\) below\(\overline ZY = 9m\) and \(\tan{X}= \frac{1}{3}\). What is the length of \(\overline{XY}\) in meters?
If you were to graph lines \( y = x+1, \, y = \, -2,\) and \(x=5\), what is the area of the triangle formed by the intersection of the three lines?
If you were to graph lines \( y = x+1, \, y = \, -2,\) and \(x=5\), the resulting triangle would be best classified as which combination of triangle types?
In the diagram below \(\overline{QU} \parallel \overline{RT}\) and points R and T are on \(\overline{QS}\) and \(\overline{US}\), respectively. Given the measures of \(\angle R\) and \(\angle U\) shown below, what is the measure of \(\angle QST\) in degrees?
\(\triangle EFG\) has expressions for its side lengths given below. What is the value of y?
\(\triangle ABC \sim \triangle XYZ\). The ratio \(\frac{\overline{AB}}{\overline{XY}} = \frac{3}{5}\). If \(\overline{AC} = 9m\) what is the length of \(\overline{XZ}\) in meters?
The perimeter of a triangle is 88 cm. The shortest side is equal to half the longest side. The middle-length side is 8cm longer than the shortest side. What is the length of the longest side?