Answer:x=1,y=
Step-by-step explanation:Here's one of many ways of solving this system. Since we are already told that
x
=
y
−
3
from the first equation, just plug in
y
−
3
everywhere you see an
x
in the second equation.
So the second equation becomes
(
y
−
3
)
+
3
y
=
13
. Solve this for
y
to get
y
=
4
.
Then, go back to the first equation that says
x
=
y
−
3
and plug in
y
=
4
. So
x
=
1
.
Check your work by plugging in the values.
1
=
4
−
3
and
1
+
3
(
4
)
=
13
, so we are right.
Answer:
x - 2 ≥ 0
Step-by-step explanation:
The expression under the square root cannot be negative, thus
x - 2 ≥ 0 , that is
x ≥ 2
The given dilation is an isometry dilation.
Step-by-step explanation:
Step 1; First, we need to compare the dimensions of the two figures. We check to see if the side lengths are the same. If the parameters are the same, the dilation could be an enlargement or a reduction. Whereas if the parameters are the same, it could be an isometric dilation or just a reflection.
Step 2; The first shape has a side length of approximately 2.5 units. We compare this to the same side length as the second shape. The second shape has the same side length.
The first shapes side length of the / same side length of the second shape = 2.5 / 2.5 = 1,
So the scale factor is 1. As the parameters do not change, it could either be a reflection or an isometric dilation.
Step 3; The base side in shape 1 is BC whereas the same base side in shape 2 is 
. So shape ABCDE has rotated to form the shape the dilation is isometric and not a reflection with a scale factor of 1.
Answer:
The required equation is
.
Step-by-step explanation:
Given information: WXYZ is a parallelogram, W and X are adjacent interior angles and measure of X is three times the measure of W.
According to the properties of parallelogram, the two adjacent interior angle are supplementary angle and their sum is 180 degrees.
.... (1)
It is also given that the measure of X is three times the measure of W.

Substitute this value in equation 1.



Substitute this value in equation 1.

Therefore the required equation is
.
Answer:
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate slope.
Step-by-step explanation: