Unit 4 congruent triangles homework 1 classifying triangles gina wilson

Asked by wiki @ 12/06/2021 in Mathematics viewed by 2950 People

Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014

Answered by wiki @ 12/06/2021

Answer:

12. x = 6, side = 83
13. x = 18, side = 29
14. x = 11, sides = 74, 74 and 37
15. x = 23, sides = 95, 95 and 108

Step-by-step explanation:

11 is incomplete, can't solve

The triangle is equilateral, so all sides are equal, using one pair to find x:

13x + 5 = 17x - 19
17x - 13x = 5 + 19
4x = 24
x = 6

Each side is:

13*6 + 5 = 78 + 5 = 83

13.

Sides are equal as triangle is equilateral

QR = 2x - 7
RS = 5x - 61
QS = x + 11

Finding x by comparing two sides

2x - 7 = 5x - 61
5x - 2x = 61 - 7
3x = 54
x = 18

Sides are equal

18 + 11 = 29

14.

Equal sides of isosceles triangle:

CD = DE
9x - 25 = 6x + 8
9x - 6x = 8 + 25
3x = 33
x = 11

Sides are

CD = DE = 9*11 - 25 = 99 - 25 = 74
CE = 10*11 - 73 = 110 - 73 = 37

15.

Equal sides of isosceles triangle WXY, WX = WY

WX = 4x + 3
WY = 7x - 66
XY = 5x - 7
4x + 3 = 7x - 66
7x - 4x = 3 + 66
3x = 69
x = 23

Sides are:

WX=WY = 4*23 + 3 = 95
XY = 5*23 - 7 = 108

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