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aksik [14]
3 years ago
13

Find the measure of KL.​

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

KL = 7

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the measures of one secants external part and the entire secant is equal to the product of the other secant's external part and the entire secant, that is

MN(MN + NC) = ML(ML + LK), that is

8(8 + 10x) = 9(9 + 7x) ← distribute both sides

64 + 80x = 81 + 63x ( subtract 63x from both sides )

17x + 64 = 81 ( subtract 64 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Hence

KL = 7x = 7 × 1 = 7

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Answer:

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Step-by-step explanation:


6 0
3 years ago
-8<2x-4<4 solve the inequality
il63 [147K]

Answer:

Step-by-step explanation:

The inequality will be split into two

It is know that, if a<b<c

Then a<b and b<c

-8<2x-4<4

Apply that to this

Then,

-8<2x-4. Equation 1

Also,

2x-4<4 equation 2

Solving equation 1

-8<2x-4

Add 4 to both side of the equation

-8+4<2x-4+4

-4<2x

Divide both sides by 2

-4/2<2x/2

-2<x

Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4

Therefore,

-2<x

Then, x greater than -2

Equation 2

2x-4<4

Add 4 to both side of the inequalities

2x-4+4<4+4

2x<8

Divide both side by 2

Then,

2x/2<8/2

x<4

Therefore x is between -2 and +4.

Check attachment for graphical solution

7 0
3 years ago
In which number is the digit 5 one hundred times larger than it is in the number 253?
Paraphin [41]
The answer is B.
I timesed 50 by 100 and 1,000. So 5 would be in the thousands place.
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Step-by-step explanation:

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