3 years ago

2. The two figures are similar. Write the similarity statement. Justify your answer.

Mathematics

1 answer:

liubo4ka [24]3 years ago

5 0

Answer:

Step-by-step explanation:

These are similar by SSS similarity. The corresponding sides are all in proportion to one another. For example, side AB is corresponding to side YZ, so the similarity ratios are

40/30 = 50/37.5

If you reduce both of those ratios down by division, you will get that both sides reduce down to 1 1/3. Therefore, they are similar by SSS similarity. Not congruency. Congruency is different.

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Please help! Thank you so much!

igor_vitrenko [27]

Angle W:

180 = 90 + 57 + W

180 = 147 + W

W = 33 degrees

Using trigonometry functions to find the side lengths. (SOH CAH TOA)

Side XZ:

cos(57) = XZ / 18

XZ = cos(57) x 18

XZ = 9.8 units

Side XW:

sin(57) = XW / 18

XW = sin(57) x 18

XW = 15.1 units

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