Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
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Answer:
Step-by-step explanation:
5x+10-7=-32
5x+3=-32
5x+3-3=-32-3
5x=-35
X=-35/5
X=-7
Check:
5(-7+2)-7=32
5(-5)-7=32
-25-7=-32
-32=-32
This is correct
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For the first expression we will only simplify the constants:
4b - 24 + 19 ——> 4b - 5
The second expression only has variables so we simplify the whole expression
4p - 5p - 30p = -31p
The third expression we will only simplify the variables
4.2v - 5 - 6.5v ——> -2.3v - 5
