Three highways connect the centers of three towns and

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

4 0

we know that

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle

The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle

see the attached figure to better understand the problem

therefore

the answer is

The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns

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4. What are the values of x and y? HELP PLEASE

Sergeeva-Olga [200]

The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig

TO FIND Y

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15

X=64/15 Y=136/15

8 0

2 years ago

HELP PLEASE Which expression is equivalent to:

mojhsa [17]

21 V³ 15- 9V³15

= (21-9)V³15

= 12V³15

4 0

2 years ago

Pls hurry I’m being timed

Ksju [112]

I believe the answer is “A”