In the parallelogram abcd, latex: m\angle a=2x+50 m ∠ a = 2 x + 50 and latex: m\angle c=3x+40 m ∠ c = 3 x + 40 . the measure of latex: \angle a ∠ a is:

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The data set represents the ages of players in a chess club. 27, 34, 38, 16, 22, 45, 54, 60. what is the mean absolute deviation of the data set?

Vinny is interviewing for a job. he wants his take home pay to be at least $42,000.what is the least salary he can earn if he pays 25% income tax?