Answer:
23 degrees
Step-by-Step Explanation:
SU is the transversal between the two parallel lines ST and RU
so angle SUR is equal to angle TSV=31 degrees
angle RVU is 126 degrees also because it is a vertical angle with angle SVT
angle URV is the angle being looked for in the triangle URV, and we know the two others sum to 157 degrees.
Therefore, it is 23 degrees.
Answer:
Option (b) is correct.
The profit from sales if the price of the T-shirts were $15 a pieces is $28.
Step-by-step explanation:
Given : The function 
is used to determine the profit on T-shirts sold for x dollars.
We have to find the profit from sales if the price of the T-shirts were $15 a pieces.
Consider the given profit function
For the profit, if the price of a t-shirt is $ 15
Put x = 15, we have,
Simplify, we have,
Also, 
Thus, we get, The profit from sales if the price of the T-shirts were $15 a pieces is $28.
It should be D. -2 Since the x Is subtracting from 5 over 3 and you need to do Inverse Operation making it Negative so yeah, -2
Answer:
12°
Step-by-step explanation:
a right triangle implies there is an angle that is 90°
another angle is 78°
the third angle is 180 - (90 + 78) = 180 - 168 = 12°
-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.
