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Travka [436]
3 years ago
9

A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short pa

ragraph, explain what you can conclude about the four tangent segments?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

The four tangent segments are congruent

Step-by-step explanation:

we know that

The <u><em>Two-Tangent Theorem</em></u> states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

so

In this problem

Applying the two tangent Theorem we have that the four tangent segments are congruent

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The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?​
pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\

also

circumference=2*\pi  *radius(equation2)\\

Step1

replace the value of the circumference of tyler's bike in equation 2  and isolate radius to find radius

72 inches=2*\pi  *radius\\\\radius=\frac{72}{2*\pi  } \radius =11.46\ inches

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0
3 years ago
Read 2 more answers
What is the rule? 87, 81, 75, 69, 63
shepuryov [24]
The answer is -6 if u suntract the numbers you can see.
8 0
3 years ago
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Which steps would you use to plot the point (7, −6, −5) in a 3-dimensional coordinate system starting from the origin?
I am Lyosha [343]

Answer:

B. move forward 7, left 6, and down 5

Step-by-step explanation:

By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.

so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.

3 0
3 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
Which equation applies the associative property of multiplication? ​(−14−53)−35=−14−(53−35)​ ​ (−78⋅25)+(−78⋅35)=−78⋅(25+35) ​ ​
lidiya [134]

It is the third equation: −512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92)

Associative property means one can group the individual operations arbitrarily without changing the result.

7 0
3 years ago
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