In order to visualize the transformations, we must execute the transformation in the options
The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.
The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,
So, the answer is the second option.
Answer:
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Step-by-step explanation:
the correct name will be QP...or QR
You divid the two numbers on top to equal the bottom and the factor one out
See attachment file below.
Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.
Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).
We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.
Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.
(3.5y) + y = 180
Combine like terms.
4.5y = 180
Divide by 4.5
y = 40
Plug y = 40 in and solve for x.
x + 40 = 180
x = 140
The answer is 40 and 140. Hope this helps :)