Answer:
170
Step-by-step explanation:
Add 160 and 45 and 125
Then subtract it to the total number of students
So 500 minus 330
Answer:
A= 37 degrees
C= 43 degrees
Step-by-step explanation:
Hey there!
So this question looks a lot more complicated than it really is.
Complementary angles are the same.
Supplementary angles add up to 180 degrees or in other words a straight line.
If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.
To find C, all we would do is subtract 37 from 180 to find the leftover amount.
180-37=43
So, in conclusion:
A= 37 degrees
C= 43 degrees
Hoped this helped! :D
Comment if you have any further questions!
Answer:
15 times 2 - 26 = x
Step-by-step explanation:
Warren drives half the distance Kendall drives to work. Kendall drives 26 more miles to work than Joe. Warren drives 15 miles. Write an equation that models this situation. Use x to represent the number of miles Joe drives to work.
W X 1/2 = K
K - 26 = J
so 15 times 2 - 26 = x
We have the equation

Let's complete the square, to do it let's add and subtract 25 on the right side

Now we can have y in function of x

Now we can already identify the vertex because it's in the vertex form:

Where the vertex is

As we can see, h = 5 and k = -2, then the vertex is

Now we can continue and find the focus, the focus is

We have a = 1/20, therefore

The focus is

And the last one, the directrix, it's

Then

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
Answer:
20
Step-by-step explanation:
The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).
Now, for the similarity reason of the areas, we just square that number (3^2=9).
Then we just divide the area of the big triangle by 9, which is 180/9= 20.