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Aliun [14]
3 years ago
9

You are constructing triangle ABC given the line segments AB and AC and ∠A. The first thing you do is copy segment AC. Next, you

copy angle A using A on the segment AC as the vertex. What is the next step? A) Copy ∠A again. B) Connect point B to point C. C) Copy AB. D) Construct a line parallel to AC

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

  C)  Copy AB

Step-by-step explanation:

The general idea is that you copy one segment, then the angle (so you know which direction the other segment goes), then the second segment. Finally, you connect the ends of the segments to complete the triangle.

The given description says you've done the first two parts of this, so you must mark off the length of segment AB in the direction you just constructed. That is, you must ...

  Copy AB.

_____

In the attached figure, the construction did segment AB first, and is about to do segment AC next. The idea is the same. Swap points B and C in your mind to match the description in the problem statement.

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3 years ago
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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

4 0
3 years ago
What is the length of the diagonal of the rectangle?
lapo4ka [179]

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

We have the two legs and are looking for the hypotenuse

a^2 + b^2 = c^2

17^2 +12.75 ^2 = c^2  where c is the diagonal

289 +162.5625 = c^2

451.5625 = c^2

Take the square root

sqrt(451.5625) = sqrt(c^2)

21.25 =c

4 0
3 years ago
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