ANSWER
C. 58°
EXPLANATION
The sum of the interior angles of a triangle is 180°.
We sum all the three angles to obtain,
.
We group like terms to get,
.
Simplify,
.
Combine like terms to get,
.
Simplify,
.
Divide both sides by 32 to get,
.
We substitute the value of x into the expression for
.
This implies that,
.
.
.
The correct answer is C
Answer:
C
Step-by-step explanation:
The quotient is 18
We have that an inverse variation in a function is given by:

We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:

Clearing k we have:

Substituting the value of k we have that the inverse variation is:

For y2 = 3 we have:

Clearing x2 we have:
Answer:
Answer:
<h2><em>29.4 length and 21.4 width.</em></h2>
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:
.
In addition, we know that the total area is 970 and the length is 8 ft longer than the width (
). So:

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions:
and
Therefore, the width is 21.4 ft, because the negative number cannot represent distances.
Using the relation between length and width:

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>
Answer:
$156.35
Step-by-step explanation:
we know that
A group of friends went to lunch, and their bill was $132.50
In this problem
$132.50 represent the 100%
100%+18%=118%
so
using proportion
Find out the total amount that represent 118%
Let
x ----> the total amount of the bill
