All help is much appreciated

x = 38

Step-by-step explanation:

RT is a midsegment and is one half the measure of QU, thus

QU = 2RT, that is

x - 6 = 2(x - 22) ← distribute

x - 6 = 2x - 44 ( subtract x from both sides )

- 6 = x - 44 ( add 44 to both sides )

38 = x

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.