3 years ago

Help please thanks multiple choice..........

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

It is A. I hope this helps love! :)

Aleksandr [31]3 years ago

5 0

I thick it's c but please don't put it if it is wrong

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters

Evgen [1.6K]

Answer:

$(B)r=\dfrac{85}{12}$

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

LX=6
Radius, XJ=JK=r
LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

$(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}$

The length of the radius, $r=\dfrac{85}{12}$

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3 years ago

Rudi bought 12.5 yards of fabric to make pillows. Each pillow requires 1.75 yards of fabric. Use compatible numbers to estimate

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Hi there!

Using compatible numbers it would be:

12 ÷ 2 = 6.

Now when you divide it, the answer would be close to 6.

So, 12 ÷ 2 = 6 would be using compatible numbers.

Hope this helps ;)

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