PLEASE HELP. i have been working on this for an hour!!!

Mathematics

1 answer:

Dima020 [189]3 years ago

8 0

Answer:

AB = 133m

Step-by-step explanation:

You can notice the ratio of AE to DE is the same as the ratio from BE to CE(3.5). We can also say angle AEB is congruent to angle DEC because they are vertical angles. Now, because of SAS similarity, you can say triangle AEB and DEC are similar. We can set up these proportions from the definition of similar triangles:

DE / AE = BE / CE = DC / AB

And we can plug in the values we have:

42 / 147 = 36 / 126 = 38 / AB

2 / 7 = 2 / 7 = 38 / AB

We can cross-multiply to get:

2AB = 7 * 38

2AB = 266

AB = 133 m

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