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Inessa [10]
2 years ago
7

Find the length of the unknown segment (x) in each figure. Use theorem of secant segment and

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

1. x = 6    2. x = 9   3. x = 3

Step-by-step explanation:

Use <u>Intersecting Secants Theorem</u>:

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

1.  AC and AD are secants that intersect at point A

So, AB x AC = AE x AD

         x x 15 = 6 x (6 + 9)

             15x = 90

                 x = 6

2.  KM and KN are secants that intersect at point K

So,  KL x KM = KO x KN

 10 x (10 + 8) = x x 20

              180 = 20x

                  x = 9

3.  IG and IF are secants that intersect at point I

So,  IH x IG = IJ x IF

       x x 39 = 9 x (9 + 4)

           39x = 117

               x = 3

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earnstyle [38]

Answer:

Change the positive numbers to negative and change the negative numbers to positive.

Step-by-step explanation:

I hope this helps u! :D

6 0
3 years ago
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
Please simplify with a explanation!~
PilotLPTM [1.2K]

Answer:

-4y + 20

Step-by-step explanation:

4(-y+5)

What we need to do here is get rid of the parentheses, which can be achieved through multiplication.

This is another way of saying 4 times -y plus 4 times 5.

Let's break the the parentheses down into 2 separate formulas.

4(-y) and 4(5)

Now we can multiply these two together to get -4y and +20. When combined, we get -4y +20.

6 0
3 years ago
Please help, needed fast
Naya [18.7K]

Answer:

46

Step-by-step explanation:

6*5

-2*-8

30+16=46

5 0
2 years ago
Read 2 more answers
Can you help me<br>4(b–1)²–9​
Tamiku [17]

Answer:

(b-1)²-9​

= 4[(b - 1)(b - 1)] - 9

= 4[b² - b - b + 1] - 9

= 4(b² - 2b + 1) - 9

= 4b² - 8b + 4 - 9

= 4b² - 8b - 5

Hope this helps!

7 0
2 years ago
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