Suppose the longest side in a right triangle has the measure 7√15. If the acute angles have the measure of 30° and 60°, which is the exact measure of the longer leg?

If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)? y=-3x-5 o y=3x-5 y=-3x+5 0y=3x+5

Question 2 (essay worth 10 points) (03.02 mc) in δabc shown below, point a is at (0, 0), point b is at (x2, 0), point c is at (x1, y1), point d is at x sub 1 over 2, y sub 1 over 2, and point e is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2: triangle abc is shown. point d lies on segment ac and point e lies on segment bc. a segment is drawn between points d and e. point a is at the origin. prove that segment de is parallel to segment ab.