The given angles are complementary, therefore:
(5r + 5) + (8r -6) = 90°
13r - 1 = 90
13r - 1 + 1 = 90 + 1
13r = 91
13r/13 = 91/13
r = 7
Your answer is 0.8 or 80%
Explanation:
Consider the ratio written like a fraction:
<span><span>Count of sandwichescount of people</span>→<span>46</span></span>
But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6
<span>6÷6=1</span>
For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.
So to change <span>46</span> into what we want we apply
<span><span><span>4÷6</span><span>6÷6</span></span>=<span><span>23</span>1</span>← <span>Count of sandwichescount of people</span></span>
So each person ends up with <span>23</span> of a sandwich
<span>Now see where the shortcut comes from <span>46</span>=<span>23</span><span> of a sandwich</span></span>
c + 9 - 3(c - 10) > 1
We're going to treat this like a regular algebraic equation, thus most algebraic rules and properties apply.
First, apply distributive property.
c + 9 <u>- 3c + 30</u> > 1 (two - signs cancel out, creating a + sign.)
Combine like terms.
<u>-2c + 39</u> > 1
Subtract 39 from both sides.
-2c > <u>-38</u>
Divide both sides by -2.
<u>c < 19</u> (Because we're dividing by a negative number, the sign gets swapped.)
<h3>Your answer is c < 19.</h3>
