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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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Which recursive sequence would produce the sequence 6, 20, 62, …
klasskru [66]

Step-by-step explanation:

Using an online calculator, I was able to find that one pattern is

a_{n} = a_{n-1} + 14 * 3^{n-1} . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one

4 0
3 years ago
HERE ARE TWO NUMBER MACHINES A AND B
nika2105 [10]

Answer:

x=-7

Step-by-step explanation:

We can write them both like functions like this

A=5x-4

B=3x+8

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

A=3B

we replace with the functions

5x-4=3(3x+8)

we solve for x

5x-4=9x+24\\5x-9x=24+4\\-4x=28\\x=\frac{28}{-4}\\x=-7

The output that makes the out put of A 3 times teh output of B is -7

5 0
3 years ago
Explain Steps. Do not answer. <br>#10 and 11<br>Questions are in the Picture
svet-max [94.6K]

Answer:

Step-by-step explanation:

For problem 10:

1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)

2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)

3. 9/x=(9+6)/10 (Substitute the given values into this equation)

4. x=6 (Use algebra to solve for x)

For problem 11:

1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)

2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)

3. 14/(14+7)=18/(18+x) (Substitute given values)

4. x=9 (Solve for x)

lmk if there are mistakes in my explanation, hope this helps :)

8 0
3 years ago
Which of the following is a quadrilateral that could have one pair of parallel sides and one pair of sides that are not parallel
ser-zykov [4K]
The answer is trapezoid because a trapezoid does not have parallel sides
3 0
3 years ago
Multiply: (3x - 5)(-x + 4)
insens350 [35]

Answer:

-3x²+17x-20

Step-by-step explanation:

When you apply the distributive property (which you did correctly), you simply multiply each number or variable in which you have to distribute it to (which again you wrote correctly) and then you add them all together.

(3x)(-x)=-3x²

+

(3x)(4)=12x

+

(-5)(-x)=5x

+

(-5)(4)=-20

Add those and you will get your answer. Hope this helped :)

3 0
3 years ago
Read 2 more answers
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