Answer:
x=-5, y=-2
Step-by-step explanation:
3x+2y= -19
-3x-5y= 25
Add the two equations together
3x+2y= -19
-3x-5y= 25
------------------
0x -3y = 6
Divide each side by -3
-3y/-3 = 6/-3
y = -2
Now find x
3x+2y = -19
3x +2(-2) =-19
3x-4 = -19
Add 4 to each side
3x -4+4 = -19+4
3x= -15
divide by 3
3x/3 = -15/3
x = -5
Answer:
$24
Step-by-step explanation:
For a markup, use the formula <em>a = ( 1 + p ) × w. </em>
!!! Remember, <em>a </em>is the selling price, and <em>w </em>is the original price !!!
!!! The <em>p </em>is the percent in decimal form. 20% as a decimal is 0.20 (move the decimal twice to the left) !!!
<em />
Inserting the values, it should look like <em>a = ( 1 + 0.20 ) × 20 </em>
<em>a = 1.20 × 20 </em>
<em>a = 24</em>
<em />
Hence, the new selling price is $24.
Hope this helps! :)
For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.
Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

The opposite angles in a parallelogram are congruent, therefore:

The sum of internal angles is 360º, therefore we have:

The value of x is 33º, the value of y is 38º and the value of z is 109º.
Answer:
b
Step-by-step explanation: