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3 years ago

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

Mathematics

2 answers:

Naddik [55]3 years ago

7 0

Answer:

5.3 units

Step-by-step explanation:

the height of point p from line MN is 5.3 units

plz give me brainliest

tatiyna3 years ago

5 0

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

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2 years ago

Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find th

UkoKoshka [18]

Answer:

b. about 91.7 cm and 44.6 cm

Step-by-step explanation:

The lengths of the diagonals can be found using the Law of Cosines.

Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).

For diagonal "d" and sides "a" and "b" and corner angle D, we have ...

d² = a² +b² -2ab·cos(D)

The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...

d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)

d² ≈ {1988.2, 8411.8}

d ≈ {44.6, 91.7} . . . . centimeters

The diagonals are about 91.7 cm and 44.6 cm.