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iVinArrow [24]
2 years ago
9

Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Kamila [148]2 years ago
3 0

Answer:

x = 80°

Step-by-step explanation:

Angle on a straight line = 180°

(x + 40)° + (x - 20)° = 180°

x + 40° + x - 20° = 180°

2x + 20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2

x = 80°

Check:

(x + 40)° + (x - 20)° = 180°

(80° + 40°) + (80° - 20°) = 180°

120° + 60° = 180°

180° = 180°

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A.)List the 4 steps outlined in the lesson on solving equations.
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1.) Solve for x:
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Subtract 3 x from both sides:
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5 x - 3 x = 2 x:
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Divide both sides of 2 x = 14 by 2:
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2.)  Solve for x:
3 x - 2 (5 - x) = 3 x - 3 (x - 10)

-2 (5 - x) = 2 x - 10:
2 x - 10 + 3 x = 3 x - 3 (x - 10)

Grouping like terms, 3 x + 2 x - 10 = (3 x + 2 x) - 10:
(3 x + 2 x) - 10 = 3 x - 3 (x - 10)

3 x + 2 x = 5 x:
5 x - 10 = 3 x - 3 (x - 10)

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5 x - 10 = 30 - 3 x + 3 x

3 x - 3 x = 0:
5 x - 10 = 30

Add 10 to both sides:
5 x + (10 - 10) = 10 + 30

10 - 10 = 0:
5 x = 30 + 10

30 + 10 = 40:
5 x = 40

Divide both sides of 5 x = 40 by 5:
(5 x)/5 = 40/5

5/5 = 1:
x = 40/5

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3 (2 x + 3) = 6 x + 9:
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5 (x + 1) = 6 x + 14

Expand out terms of the left hand side:
5 x + 5 = 6 x + 14

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14 - 5 = 9:
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