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german
4 years ago
8

PLEASEEEE HELP ASAPPP ILL MARK BRAINLIEST IMPORTANT TO SHOW YOUR WORK

Mathematics
1 answer:
geniusboy [140]4 years ago
4 0

Answer:

AC = 7.5 cm

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{AC}{DE} = \frac{BC}{DE} , substitute values

\frac{AC}{3.5} = \frac{7+8}{7} , that is

\frac{AC}{3.5} = \frac{15}{7} ( cross- multiply )

7AC = 52.5 ( divide both sides by 7 )

AC = 7.5 cm

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