Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
Answer: C: The orientation of the figure stayed the same
Step-by-step explanation:
Everything else is true
A. The figures do not change in dilation so they are still congruent
B. The pre-image does start in the top left which is quadrant 1
C. The orientation changes because the picture is reflected instead of translated so points D and E are in different respective locations
D. The image is a reflection. You can tell because both points D and E reflect across the Y-axis
Answer:
5+x2
Step-by-step explanation:
Answer:
Step-by-step explanation:
You can use Pythagoras Theorem,

∴
Hope that helps!!
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Answer:
-9n-6
Step-by-step explanation: