Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
C. because u can't name a congruent triangle by angle angle angle
It would be 22%. hopes I helped! ;)
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Reduced (simplify) all factions if possible
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(1/4 cannot be reduced)
1/4 = 1/4
(divided by 2 for both numerator and denominator)
2/8 = 1/4
(divide by 3 for both numerator and denominator)
3/12 = 1/4
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Find combined fraction of the mural that has been painted.
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1/4 + 1/4 + 1/4 = 3/4
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Answer: 3/4 of the mural has been painted.
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