(100-9^2)/3
PEMDAS: parenthesis, exponents, multiply, divide, add, subtract
Lets' work on the parethesis first.
100-9^2
We can do the exponent first, 9^2=81, so 100-81=19
Then we divide and 19/3 is your final answer.
Answer:
C. 6
Step-by-step explanation:
It is given that the rectangles in the figure are similar.
<em>Thus, the corresponding sides of the two rectangles will be equal.</em>
So, we get,

i.e. 
i.e. 
i.e. 
i.e. x = 6.
Hence, the value of x is 6.
Answer is $31.25
Step by step
We know mark up is 112%
We know sell price (retail) after markup
We are looking for wholesale (original price)
So 112% of x = $35
1.12x = $35
Divide both sides by 1.12 to isolate x
X= 31.25
Lets remember the property "alternative-interior angles" when we have parallels lines:
Given two paralles lines, the following is true:
In our question, we have:
We know that the angles J + P + K=180
So, the triangles have all the angles the same, so they are similar by angle-angle-angle, and they have one side congruent, AC=CD, so the triangles are congruents.
Answer:
Option D
Step-by-step explanation:
We are given the following equations -

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -
First, I swapped the first and third rows.
Leading coefficient of row 2 canceled.
The start value of row 3 was canceled.
Matrix rows 2 and 3 were swapped.
Leading coefficient in row 3 was canceled.

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

The positioning of the zeros indicated that there was no solution!
<u><em>Hope that helps!</em></u>