Step-by-step explanation:
1. x = 9
5x - 8 = 2x + 19
-2x =-2x
3x - 8 = 19
3x = 19 + 8
3x = 27
3 3
x = 9
ABC = 5x - 8 EBD = 2x + 19
5(9) - 8 = 37° 2(9) + 19 = 37°
2. x = 10
9x + 12 + 6x + 18 = 180
15x + 30 = 180
15x = 180 - 30
15x = 150
15 15
x = 10
ABD = 9x + 12 CBD = 6x + 18
9(10) + 12 = 102° 6(10) + 18 = 78°
3. x = 18
3x + 2x = 90
5x = 90
5 5
x = 18
EBC = 2x DBE = 3x
2(18) = 36° 3(18) = 54°
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Answers & Comments
Step-by-step explanation:
1. x = 9
5x - 8 = 2x + 19
-2x =-2x
3x - 8 = 19
3x = 19 + 8
3x = 27
3x = 27
3 3
x = 9
ABC = 5x - 8 EBD = 2x + 19
5(9) - 8 = 37° 2(9) + 19 = 37°
2. x = 10
9x + 12 + 6x + 18 = 180
15x + 30 = 180
15x = 180 - 30
15x = 150
15x = 150
15 15
x = 10
ABD = 9x + 12 CBD = 6x + 18
9(10) + 12 = 102° 6(10) + 18 = 78°
3. x = 18
3x + 2x = 90
5x = 90
5x = 90
5 5
x = 18
EBC = 2x DBE = 3x
2(18) = 36° 3(18) = 54°