Answer:
x = 21
Step-by-step explanation:
<u>Step 1: Make an expression</u>
Since they are supplements, that means that they add up to 180 degrees.
3x + 6 + 5x + 6 = 180
<u>Step 2: Combine like terms</u>
3x + 6 + 5x + 6 = 180
(3x + 5x) + (6 + 6) = 180
8x + 12 = 180
<u>Step 3: Subtract 12 from both sides</u>
8x + 12 - 12 = 180 - 12
8x = 168
<u>Step 4: Divide both sides by 8</u>
8x / 8 = 168 / 8
x = 21
Answer: x = 21
It is 19 because of the Pythagorean theorem which states a squared plus b squared is c squared.
Answer:
The amount received after 5 years is 1827.39
Step-by-step explanation:
The amount received by Bridget from his grandfather as the birthday gift = 1400
.
Since he wants to deposit it and save for college, he earns interest rate = 5.4%
He deposited this money for the years = 5 years.
Here, the Present value (PV) is = 1400
Interest rate ( r ) = 5.4% or 0.054
Since the interest rate is compounded semi annually, So, n = 10
Now if we calculate the future value of 1400 with interest rate 5.4 percent:
Therefore, 1827.39 will be the total money in his account after five years.
-5(r - 6) + 3(-8 + 8r) = -32
STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38
STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2
FINAL ANSWER: r = -2</span></span></span>
The answer is 
First, you must divide 12 on both sides.
Then, simplify the fraction.
