Can someone put a website to help me understand this? Im sure its not hard I just don't know how to do it

67

Step-by-step explanation:

Since the diagonals in a rectangle are congruent, AC=BD and

7x+18=10x-3

We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in

18=3x-3

Next, add 3 to both sides to get

21=3x

Divide both sides by 3 to get

x=7

Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

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.