Question #683b4

2 Answers
bp
Feb 2, 2018

x=10

Explanation:

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Ms. Worth
Feb 2, 2018

#x = 10#

Explanation:

This can be solved as a Ratio and Proportion problem
in four easy steps.

Big triangle : Small triangle :: Larger values : Smaller values

#(big triangle)/(small triangle) = (4x + 2)/(3x) = (28)/(20)#

Note: Always set up the series of equalities by writing a word fraction first.
This prevents the most common error -- namely, entering the data on the wrong side of the fraction.

This is a proportion that you can solve easily.

1) Cross multiply
#28(3x) = 20(4x + 2)#

2) Divide both sides by 4 to get smaller coefficients
#7 (3x) = 5 (4x + 2)#

3) Clear the parentheses by distributing the coefficients
#21x = 20x + 10#

4) Subtract #20x# from both sides
#x = 10# #larr# answer

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