Hank is deciding what type of vehicle he is going to purchase. he has narrowed his preferences down to 2 vehicle types, 2 colors, and 2 types of interior. according to the tree diagram how many combinations exist?

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2