Answered

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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 X class=

Sagot :

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

Ratio remains same

[tex]\\ \rm\bull\rightarrowtail \dfrac{20}{3x}=\dfrac{28}{4x+2}[/tex]

[tex]\\ \rm\bull\rightarrowtail 84x=20(4x+2)[/tex]

[tex]\\ \rm\bull\rightarrowtail 84x=80x+40[/tex]

[tex]\\ \rm\bull\rightarrowtail 4x=40[/tex]

[tex]\\ \rm\bull\rightarrowtail x=10[/tex]

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