Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
1 answer:
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
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Answer:
r= 7.14 (rounded to 2 decimal places)
Step-by-step explanation:
We have to solve this equation for the value of r. We will use distributive property and basic algebra to solve this.
Distributive property is a(b+c) = ab + ac
Now, the steps of solving are shown below:
Hence, value of r is 7.14 (rounded to 2 decimal places)