Answer:
m∠1 = 81
m∠2 = 99
Step-by-step explanation:
The angles are supplemaentary and therefor sum to 180
3x + (x + 72) = 180
4x + 72 = 180
4x = 108
x = 27
m∠1 = 3x
m∠1 = 27(3)
m∠1 = 81
m∠2 = x + 72
m∠2 = 27 + 72
m∠2 = 99
20% of 215,000......turn ur percent to a decimal...." of " means multiply
0.20(215,000) = 43,000
Simplifying
3.6y = 5.4 + 3.3y
Solving
3.6y = 5.4 + 3.3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3.3y' to each side of the equation.
3.6y + -3.3y = 5.4 + 3.3y + -3.3y
Combine like terms: 3.6y + -3.3y = 0.3y
0.3y = 5.4 + 3.3y + -3.3y
Combine like terms: 3.3y + -3.3y = 0.0
0.3y = 5.4 + 0.0
0.3y = 5.4
Divide each side by '0.3'.
y = 18
Simplifying
y = 18
2. 3/5(a+5)=-1/3a-4
We move all terms to the left:
3/5(a+5)-(-1/3a-4)=0
Domain of the equation: 5(a+5)!=0
a∈R
Domain of the equation: 3a-4)!=0
a∈R
get rid of parentheses
3/5(a+5)+1/3a+4=0
calculate fractions
9a/(15a^2+75a)+(5aa/(15a^2+75a)+4=0
3. Simplifying
-2(x + 3) = 3x + -9 + -5x
Reorder the terms:
-2(3 + x) = 3x + -9 + -5x
(3 * -2 + x * -2) = 3x + -9 + -5x
(-6 + -2x) = 3x + -9 + -5x
Reorder the terms:
-6 + -2x = -9 + 3x + -5x
Combine like terms: 3x + -5x = -2x
-6 + -2x = -9 + -2x
Add '2x' to each side of the equation.
-6 + -2x + 2x = -9 + -2x + 2x
Combine like terms: -2x + 2x = 0
-6 + 0 = -9 + -2x + 2x
-6 = -9 + -2x + 2x
Combine like terms: -2x + 2x = 0
-6 = -9 + 0
-6 = -9
Solving
-6 = -9 (No solution)
4. Simplifying
2(x + -1) + 6x = 4(2x + -1) + 2
Reorder the terms:
2(-1 + x) + 6x = 4(2x + -1) + 2
(-1 * 2 + x * 2) + 6x = 4(2x + -1) + 2
(-2 + 2x) + 6x = 4(2x + -1) + 2
Combine like terms: 2x + 6x = 8x
-2 + 8x = 4(2x + -1) + 2
Reorder the terms:
-2 + 8x = 4(-1 + 2x) + 2
-2 + 8x = (-1 * 4 + 2x * 4) + 2
-2 + 8x = (-4 + 8x) + 2
Reorder the terms:
-2 + 8x = -4 + 2 + 8x
Combine like terms: -4 + 2 = -2
-2 + 8x = -2 + 8x
Add '2' to each side of the equation.
-2 + 2 + 8x = -2 + 2 + 8x
Combine like terms: -2 + 2 = 0
0 + 8x = -2 + 2 + 8x
8x = -2 + 2 + 8x
Combine like terms: -2 + 2 = 0
8x = 0 + 8x
8x = 8x
Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x
Combine like terms: 8x + -8x = 0
0 = 8x + -8x
Combine like terms: 8x + -8x = 0
0 = 0
Solving
0 = 0 (all real numbers)
The answer is Shift left because the transformation is adding 3, meaning it shifts left 3.
