A painter leans a 25-foot ladder against the wall. The bottom of the ladder is 20 feet from the base of the wall. The painter then moves the bottom of the ladder 13 feet closer to the wall. How much higher is the top of the ladder on the wall?

9 ft

Step-by-step explanation:

a²+b²=c²

20²+b²=25²

400=b²=625

b²=625-400

b²=225

b=15 (the distance up the wall the ladder is to begin with)

20-13=7

7²+b²=25²

49+b²=625

b²=625-49

b²=576

b=24 (The distance up the wall the ladder is after moving it)

24-15=9

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: