Question

Can you find the distance from a point to a line?​

Answer 1

Answer:

5.3 units

Step-by-step explanation:

the height of point p from line MN is 5.3 units

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Answer 2

Answer:

Figure 6. A perpendicular bisector constructed for line NO.

 

Solution

We know from the Perpendicular Bisector Theorem that WZ=WY. We can now set up our equation to solve for x.

WZ=WY

2x+11=4x−5

Subtract 4x from both sides.

−2x+11=−5

Subtract 11 from both sides.

−2x=−16

Divide by −2 on both sides.

x=8

Now that we have our x-value, we can substitute it in to solve for the lengths of the segments.

WZ=2x+11

WZ=2(8)+11

WZ=16+11

WZ=27

 

WY=4x−5

WY=4(8)−5

WY=32−5

WY=27

You can see here that WZ=WY, which follows the Perpendicular Bisector Theorem. that is help fo