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Pls help I need help with 12

Pls help I need help with 12-example-1
User Vindhya G
by
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2 Answers

6 votes

Answer:

B. 14

Explanation:

22/x = 11/(21-x)

462 - 22x = 11x

462 = 33x

x = 14

User Combine
by
7.3k points
5 votes

Answer: The value of x is 14, answer choice B

Let y be the other line segment connected to x

Using proportions:


(11)/(22)=(y)/(x)

Cross multiply and simplify


22y=11x


y=(1)/(2)x

We know that x and y add to 21, so we can create the following equation:


x+y=21

Substitute y=(1/2)x


x+(1)/(2)x=21

Simplify by adding like terms


(3)/(2)x=21

Divide both sides by 3/2


x=14

Let me know if you need any clarifications, thanks!

User Brianna
by
6.9k points