Ruth is at the park standing next to a slide. Ruth is 5 feet tall, and her shadow is 3 feet
long. If the shadow of the slide is 7.5 feet
long, what is the height of the slide? Assume
the triangles are similar.

The slide is approximately 12.75 feet.

Step-by-step explanation:

We know that Ruth is 5 feet tall, and her shadow is 3 feet tall.

5 ÷ 3 = 1.7 when rounded to the nearest tenth

Therefore, the shadow height of an object multiplied by 1.7 is the height of the actual object.

If the shadow of the slide is 7.5 feet, we need to multiply 7.5 by 1.7.

7.5 x 1.7 = 12.75

Therefore, the slide is approximately 12.75 feet.

Hope this helps! :D

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5