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4 votes
4 votes
The two triangles

are similar.
What is the value of x?
Enter your answer in the box.
X =

The two triangles are similar. What is the value of x? Enter your answer in the box-example-1
User JYX
by
2.5k points

2 Answers

12 votes
12 votes

Ratio remains same


\\ \rm\bull\rightarrowtail (20)/(3x)=(28)/(4x+2)


\\ \rm\bull\rightarrowtail 84x=20(4x+2)


\\ \rm\bull\rightarrowtail 84x=80x+40


\\ \rm\bull\rightarrowtail 4x=40


\\ \rm\bull\rightarrowtail x=10

User Amith Dissanayaka
by
2.8k points
21 votes
21 votes

Solution:

Note that:

  • (3x)/20 = (4x + 2)/28

Using cross multiplication:

  • (3x)/20 = (4x + 2)/28
  • => (3x) × 28 = (4x + 2) × 20

Simplifying both sides:

  • => 84x = 80x + 40

Subtracting 80x both sides:

  • 84x = 80x + 40
  • => 84x - 80x = 80x + 40 - 80x

Simplify the LHS:

  • => 84x - 80x = 40
  • => 4x = 40
  • => x = 10
User Nhinkle
by
2.9k points