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Komok [63]
3 years ago
12

What is the value of the variables?

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

\frac{Big Side}{Big Side} =\frac{little side}{little side}

where Big represents the bigger triangle an little represents the smaller triangle.

\frac{8}{16}=\frac{w}{12+w}

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

\frac{8}{22}=\frac{12}{24+x}

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

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