Define x:
Let angle a be x.
angle a = x
angle b = 3x + 32
angle c = x + 58
Find x:
Angles in a triangle add up to 180°:
x + 3x + 32 + x + 58 = 180
Combine like terms:
5x + 90 = 180
Take away 90 from both sides:
5x = 90
Divide by 5 on both sides:
x = 18°
Find the angles:
angle a = x = 18°
angle b = 3x + 32 = 3(18) + 32 = 86°
angle c = x + 58 = 18 + 58 = 76°
Answer: The angles are 18°, 86° and 76°.
Answer:
Step-by-step explanation:
n² + 3n - 18 = 0
n = [-3 ±√(3²-4(1)(-18)]/[2(1)] = [-3 ±√81]/2 = 3, -6
Rewrite equations:
x+y=14;42x+25y=486
Step: Solvex+y=14for x:
x+y=14
x+y+−y=14+−y(Add -y to both sides)
x=−y+14
Step: Substitute−y+14forxin42x+25y=486:
42x+25y=486
42(−y+14)+25y=486
−17y+588=486(Simplify both sides of the equation)
−17y+588+−588=486+−588(Add -588 to both sides)
−17y=−102
−17y
−17
=
−102
−17
(Divide both sides by -17)
y=6
Step: Substitute6foryinx=−y+14:
x=−y+14
x=−6+14
x=8(Simplify both sides of the equation)
On Fri, Sep 20, 2019 at 12:08 PM ESQULESE BLACK wrote:
