Complementary angles add up to 90.
First angle:x
Second angle:3x
x+3x=90
4x=90
x=22.5
The first angle is 22.5 degrees and the complement is 67.5
The answer to the question
Answer:
k = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
15 - 3k = 10(k - 5)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 10: 15 - 3k = 10k - 50
- Add 3k to both sides: 15 = 13k - 50
- Add 50 to both sides: 65 = 13k
- Divide 13 on both sides: 5 = k
- Rewrite: k = 5
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 15 - 3(5) = 10(5 - 5)
- Subtract: 15 - 3(5) = 10(0)
- Multiply: 15 - 15 = 0
- Subtract: 0 = 0
Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:
4 years
Step-by-step explanation:
After 3 years:
400(1.1³) = 532.4
n additional years
600 = 532.4(1.2^n)
1500/1331 = 1.2^n
ln(1500/1331) = n×ln1.2
n = 0.655
5th year
If you simplify using the distributive property you should get D
