This is to help me study for a math exam. Anyone that takes advantage of the points will be reported. Thank you!

2) (see image below)

3) x = 8  

   side(s) = 74

4) x = 10

   EF = DE = 67

   base = 31

Step-by-step explanation:

For No. 2, if you draw out two triangles with the corresponding angles, you can make it a lot easier. See the image below:

For No. 3, it is given that it's an equilateral triangle, meaning all sides and angles are congruent. So:

12x – 22 = 10x – 6 = 7x + 18

Instead of using all three at once, you can use any two. I'll be using:

12x – 22 = 10x – 6

2x = 16

x = 8

Plugging x in, we can get all the sides, because this is an equilateral triangle:

12x – 22

12(8) – 22

96 – 22

74

For No. 4, it is given that the triangle is an isosceles triangle where DE ≅ EF, so:

8x – 13 = 5x + 17

3x = 30

x = 10

Plugging in x for one of the congruent sides and the base, you can get your needed side length values:

8x – 13

8(10) – 13

80 – 13

67

x + 21

10 + 21

31

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step-by-step explanation:

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