In the drawing below, pq is parallel to st. triangle pqr is similar to triangle tsr.

which statement about the sides is true?

answer: 16

step-by-step explanation:

48/6=8

8*2=16

answer:

12

step-by-step explanation:

let a = adele's current age

let t = timothy's current age

adele is 5 years older than timothy:

a = t + 5       {equation 1}

in 3 years timothy will be 2/3 of adele's age:

(2/3)(a + 3) = t + 3     {equation 2}

since we are looking for adele's age, let's rearrange equation 1 to:

t = a - 5

substitute that into equation 2 and solve for a.

(2/3)(a+3) = a - 5 + 3

(2/3)(a + 3) = a - 2

multiply through by 3 to clear the fraction

2(a+3) = 3a - 6

2a + 6 = 3a - 6

add 6 to both sides, subtract 2a from both sides

12 = a

adele is 12 years old

this means timothy is 7 years old.

check equation 2 to verify:

(2/3)(a + 3) = t + 3

(2/3)(12+3) = 7 + 3

(2/3)(15) = 10

10 = 10

answer is correct