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Gina Wilson All Things Algebra Answer Key | Gina Wilson All things Algebra 2015

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Gina Wilson all things algebra unit 4 homework 3 questions 12-15

Expert-Verified Answer

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Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

XY = 13x - 21

YZ = 8x - 6

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7

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12. The value of x = 19

The value of angle A is 75 degrees

The value of angle B is 75 degrees

The value of angle C is 30 degrees

13. The value of x = 6

The value of angle A is 31 degrees

The value of angle B is 118 degrees

The value of angle C is 31 degrees

14. The value of x = 15

The value of angle A is 121 degrees

The value of angle B is 68 degrees

The value of angle C is 68 degrees

15. The value of x = 3

The value of angle A is 18 degrees

The value of angle B is 18 degrees

The value of angle C is 7 degrees

12. 3x + 18 + 7x - 58 + 2x - 8 = 180

A = 3x + 18 = 319 + 18 = 57 + 18 = 75 degrees

angle B = 7x-58 = 719 - 58 = 133-58 = 75

angle C = 2x-8 = 219 - 8 = 38 - 8 = 30

13. 8x - 17 + 19x + 4 + 5x + 1 = 180

angle Q = 8x-17 = 86 - 17 = 48-17 = 31

R = 19x + 4 = 196 + 4 = 114 + 4 = 118 degrees

S is equal to 5x+1 = 56 + 1 = 30+1 = 31 degrees .

14. KL = 9x - 14

K angle = L angle

As a result, the sides LM and KM must be equal in length . that provides us with

15. XY = 13x - 21

angle X equals angle Z

As a result, the sides XY and ZY (or YZ) must be identical in length. that provides us with

For such more question on value

brainly.com/question/843074

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This curriculum includes 900+ pages of instructional materials (warm-ups, guided notes, homework assignments, quizzes, unit tests, review materials, a midterm exam, a final exam, spiral reviews, and many other extras) for Algebra 1.

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