19. Which of the following statements is true
2 answers:
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Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:
AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values
Cross multiply
(distributive property)
Collect like terms
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12
Answer:
6x + 2 ( x - 4) = 8 + 4 ( x + 2)
6x + 2x - 8 = 8 + 4x + 8
<em><u>Arranging</u></em><em><u> </u></em><em><u>like</u></em><em><u> </u></em><em><u>terms</u></em><em><u> </u></em>
6x + 2x - 4x = 8 +8 - 8
8x - 4x = 8
4x = 8
x = 8/4
x = 2