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Mathematics
, 02.11.2020 17:24

Prove: △XYZ ~ △NYM

Triangles X Y Z and N Y M are shown. Triangle X Y Z is smaller and sits inside of triangle N Y M, sharing part of 2 sides with triangle N Y M. The hypotenuses of both triangles are parallel.

We know that side NM is to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the , we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the similarity theorem.

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While traveling to his grandmother’s for Christmas, George fell asleep a third of the way through the journey. When he awoke, he still had to travel a fifth of the distance that he had traveled while sleeping. For what part of the entire journey had he been asleep?

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Mathematics, 24.05.2021 17:28

Favorite Color blue 24,36 % 32.86 % yellow 25 % green 27.78 % 1728 students were asked to name their favorite color . The results are shown in this circle graph . How many students gave green as their favorite ?

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Mathematics, 19.05.2020 10:31

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Advanced Placement (AP), 13.05.2021 03:38

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