Answer:
-5
Step-by-step explanation:
The equation for slope is:
We can plug in the given coordinates into the equation:
Answer:
His sales that week were $2,160.
Step-by-step explanation:
First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:
$432-$324=$108
Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:
5% → 108
100% → x
x=(100*108)/5=2160
According to this, the answer is that his sales that week were $2,160.
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Here are the basic steps to follow to simplify an algebraic expression:<span>remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
<span>combine the constants.</span></span>
