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White raven [17]
3 years ago
12

how can you copy a angle using a straightedge, a compass, and a pencil, give step by step instructions

Mathematics
2 answers:
Murljashka [212]3 years ago
8 0

Start with a angle BAC that we will copy.
1. Make a point P that will be the vertex of the new angle.
2. From P, draw a ray PQ. This will become one side of the new angle.

This ray can go off in any direction.
It does not have to be parallel to anything else.
It does not have to be the same length as AC or AB.

3. Place the compasses on point A, set to any convenient width.
4. Draw an arc across both sides of the angle, creating the points J and K as shown.
5. Without changing the compasses' width, place the compasses' point on P and draw a similar arc there, creating point M as shown.
6. Set the compasses on K and adjust its width to point J.
7. Without changing the compasses' width, move the compasses to M and draw an arc across the first one, creating point L where they cross.
8. Draw a ray PR from P through L and onwards a little further. The exact length is not important.
Done. The angle ∠RPQ is congruent (equal in measure) to angle ∠BAC.
MissTica3 years ago
6 0

Answer:

Step-by-step explanation: Draw a working line, l, with point B on it.

Open your compass to any radius r, and construct arc (A, r) intersecting the two sides of angle A at points S and T.

Construct arc (B, r) intersecting line l at some point V.

Construct arc (S, ST).

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4 0
3 years ago
The function f(x)=50⋅0.8x models the number of ants in Jonathan's ant farm after it is stricken by a deadly ant disease, where x
alina1380 [7]

Answer:

Step-by-step explanation:

In the exponential growth/decay function

y=a(b)^x, in our situation,

y is the number of ants remaining in the colony after the growth or decay,

a is the initial number of ants in the colony, and

b is the growth/decay rate.  Rule:  if b is greater than 1, the function is growth; if b is greater than 0 but less than 1, the function is decay.

Our equation looks like this (it's given):

y=50(.8)^x

a = 50, which is the initial number of ants in the colony.

b = .8 (which actually means that then number of ants is declining by 20% each week).  Since .8 is a fraction of 1, this is decay.

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y=50(.8)^2  and

y = 50(.64) so

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5 is true as well.  Let's test 6 by replacing x with 8 and seeing if y = 10:

y=50(.8)^8 and

y = 50(.16777216) so

y = 8.388

6 is not true.

1, 4, 5 are true

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3 years ago
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