Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so
solve for TS
we have
substitute
Step 2
<u>Find the value of SQ</u>
we know that
we have
substitute
therefore
<u>the answer is</u>
the value of SQ is 
You would need to have the information of how it translated, wether it was left or right, or up or down. you would also want the information of how far it translated.
Answer:
x = -3, y = 5
Step-by-step explanation:
first, take the 3x + 17 = y and put it in place for the y in the second equation.
-3x=4x+17+4
then, solve the equation.
-3x=4x+21
-3x-4x=4x-4x+21
-7x=21
-7/-7x=21/-7
x = -3
substitute in other equation
4(-3) + 17 = y
-12 + 17 = y
y = 5
answers are x = -3 and y = 5
Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Answer:
y=-4x+2
Step-by-step explanation:
The slope intercept form is: y=mx+b
Then
y=-4x+b
y=2 and x=0 at the intercept
thus
2=-4(0)+b
b=2
y=-4x+2
