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LekaFEV [45]
3 years ago
8

Segment AB and AC are tangent to the circle C

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Answer:

6

Step-by-step explanation:

tangents extending from an external point have the same length to the point of contact(i. e BC=DC)

So, we just equate it

x+3=2x

2x-x= 3

x=3

BC= x+3

or, BC=3+3

Thus, BC=6

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HELPPP!!!!!!
Furkat [3]
<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

----------------

To sum things up so far, we have these known properties of triangle ABC

  • angle A = 107 degrees
  • side c = side AB = 24 miles
  • angle B = 42 degrees
  • angle C = 31 degrees

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

8 0
3 years ago
Rico ran a race that was 3 km long. how many meters did rico run?
pishuonlain [190]
3000 meters in total.
4 0
3 years ago
Sketch the image of quadrilateral PQRS under the following dilations:
kramer

Answer:

dam this been up for a long time

Step-by-step explanation:

its just too hard sorry man

7 0
3 years ago
Help me plz I need this quick
Lena [83]

I think it will be neither.

4 0
3 years ago
Read 2 more answers
Which is less -2.34 or -2.2?
lidiya [134]

Answer:

-2.34

Step-by-step explanation:

It is further away from 0

8 0
3 years ago
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