3 years ago

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Mathematics

1 answer:

poizon [28]3 years ago

5 0

9514 1404 393

Answer:

x = 14 cm

Step-by-step explanation:

We can only solve for x if the triangles are similar. The arrows on the left and right legs say those are parallel. Since alternate interior angles at each of the transversals are congruent, the triangles are AA similar.

ΔABC ~ ΔDEC, so we have ...

EC/ED = BC/BA

x/(18 cm) = (35 cm)/(45 cm)

x = (18 cm)(7/9) = 14 cm

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