Answer:
- a. ∠Y, ∠W, ∠X
- d. 75°
- d. 5
Step-by-step explanation:
1. The sides, shortest to longest, are 5, 10, 12. The angles opposite are in the same order (smallest to largest). Those angles are ∠Y, ∠W, ∠X.
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2. The triangle isosceles, so the base angles are equal. The sum of angles in a triangle is 180°, so you have ...
30° + 2x = 180°
15° + x = 90° . . . . . divide by 2
x = 75° . . . . . . . . . . subtract 15°
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3. The midline of a triangle is half the length of the base it is parallel to, so ...
ML = 10/2 = 5
It is a <em>midline</em> because it joins the midpoints of two sides of the triangle.
