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OLga [1]
3 years ago
14

Tangent circles help plz

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Well we can't do all of those for you, how about a sampling.

In 14 and 15 we'll have a tangent whenever the radius and the associated purported tangent meet at a right angle.  We have the right angle sign on 14 and not 15, so the answer is probably 14. YES, 15. NO.  We can check with the Pythagorean Theorem:

14.

85^2 = 7225

51^2 + 68^2 = 7225 \quad\checkmark

Those match, so we have a right angle B, so answer is YES

15.

19^2=361

8^2+16^2=320

Those are different, B is not a right angle, so answer NO

16.

It would be helpful if they labeled some points.  Let's call the tangent point T, the other end of the chord U and the center C.  

If we draw triangle TCU, the central angle TCU=128 degrees, because that's what the measure of the arc means.

Our triangle is isosceles because CT and CU are both radii.  So the angles CTU and CUT are congruent, so both must be

CTU = CUT = (180 - 128)/2 = 26 degrees

Angle 1 is angle CTU + 90 degrees, because the tangent always makes a 90 degree angle with the radius.   Angle 2 is the supplement of angle 1.

Answer:  Angle 1 = 90+26 = 116 degrees.  Angle 2 = 180-116 = 64 degrees

Three's the limit around here so I'll leave the rest to you.

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3 years ago
Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th
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Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

4 0
3 years ago
Someone plz help me
marusya05 [52]
This is a parabola which looks like an inverted U. Its will have a maximum value  when t = 7  as we see from  the vertex form below:-

- t^2 + 14t - 40 
= - ( t - 7)^2 + 49 - 40
= -(t - 7)^2 + 9

There is an axis of symmetry at  x = 7.

so a is true  since 7 is the maximum value of the function and  its less at t = 6.
c is also true   because  of the symmetry about t = 7

8 0
3 years ago
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