2 years ago

Need help in less than 5 minutes brainliest to the first/most helpful answer!! Need it speedy!!!!

Mathematics

1 answer:

Sonbull [250]2 years ago

6 0

Answer:

1.) True

2.) False

3.) True

4.) True

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Line segment KL is tangent to circle J at point K.

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we know that

if the line segment KL is tangent to circle J at point K

then

KL is perpendicular to KJ

the triangle KJL is a right triangle

Applying the Pythagorean Theorem

$LJ^{2} =KL^{2}+KJ^{2}$

we have

$KL=24\ units\\KJ=r\ units\\JL=(16+r)\ units$

substitute the values

$(16+r)^{2} =24^{2}+r^{2}\\256+32r+ r^{2}=576+ r^{2} \\32r=576-256 \\r= 320/32\\r=10\ units$

therefore

<u>the answer is the option B</u>

$10\ units$

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