Complementary angles add up to 90 degrees
7:8....added = 15
7/15 * 90 = 630/15 = 42 <== one angle is 42 degrees
8/15 * 90 = 720/15 = 48 <== other angle is 48 degrees
Answer:
A. 1
Step-by-step explanation:
3(x+1)=-2(x-1)+6
3x+3=2x-2+6
x+3=4
x=1
It costs $122.4 dollars before the increase.
<h3>
How to calculate percentage of a number. Use the percentage formula: P% * X = Y</h3>
- Convert the problem to an equation using the percentage formula: P% * X = Y.
- P is 17%, X is 7.20, so the equation is 17% * 7.20 = Y.
- Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Therefore, It costs $122.4 dollars before the increase.
Learn more about Finding the Percentage here:
brainly.com/question/24862040
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
3 times 12 then 3 times 20
3 x 12 = 36
3 x 20 = 60
60 + 36 = 96
96 ÷ 8
