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il63 [147K]
2 years ago
5

Will give brainliest!!! Please help!!! Needed now!!! I attached both questions!!!

Mathematics
2 answers:
rjkz [21]2 years ago
7 0

In triangle WXV and SRT,

If both triangles are similar than their ratio of corresponding sides are equal.

⟹\frac{XY}{XW} = \frac{US}{SR}

⟹\frac{27}{3x-21} = \frac{24}{x+13}

⟹(27)(x+13) = (24) (3x-21)

⟹27x +351 = 72x - 504

⟹27(x+13) = 9(8x-56)

⟹3x+39 = 8x-56

⟹8x-3x = 39+56

⟹5x = 95

<h2>⟹x=19</h2>

In triangle DFE and IHJ,

If both triangles are similar than their ratio of corresponding sides are equal.

⟹\frac{GF}{EF} = \frac{IK}{HI}

⟹\frac{9}{x+8} = \frac{14}{3x-2}

⟹(9)(3x-2) = (14)(x+8)

⟹27x-18=14x+112

⟹27x-14x=112+18

⟹13x=130

⟹x =\frac{130}{13}

<h2>⟹x=10</h2>

⟹EF = x+8

⟹EF =10+8

<h3>⟹EF=18</h3>
12345 [234]2 years ago
4 0

Answer:

I found the x values. Figure out the lengths by substituting the x-values!

Step-by-step explanation:

Feel free to ask if you don't understand what I'm doing here

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