Answer:
50°
Step-by-step explanation:
In a parallelogram, opposing angles must be equal. Note how 75° = 75°. Thus, opposing angles 2x + 5 and x + 55 must also be equal.
Solve this equation for x.
Subtracting x from both sides yields x + 5 = 55. Next: Subtracting 5 from both sides yields x = 50° (answer choice C)
Answer:
D(-2, 5).
Step-by-step explanation:
We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).
And we want to determine the coordinates of D.
Recall that the midpoint is given by:

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

This yields two equations:

Solve for each:

And:

In conclusion, Point<em> </em>D = (-2, 5).
This system will have 1 solution, or C. That's because since the equations are different, meaning that there is 1 solution.
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