a 25 foot ladder is placed 7 feet away from wall

how high up the wall will the ladder reach

A 18

B 20

C 22

D 24

24 feet

Step-by-step explanation:

The ladder and the wall form a right triangle, so we can use Pythagorean Theorem

a^2+b^2=c^2

25 is c, or the hypotenuse, because it is opposite the right angle.

7 is a, and x is b.

7^2+x^2=25^2

Solve the exponents

49+x^2=625

Subtract 49 from both sides

x^2=576

Take the square root of both sides

x=24

The ladder reaches 24 feet up the wall

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

step-by-step explanation: