Answer:
33.68
Step-by-step explanation:
The two y values coming from I are equal.
The two x values coming from K are equal.
That's because tangents to a circle from the same external point are equal.
5x + 1 = 6x - 3 Add 3 to both sides
5x + 1 + 3 = 6x -3+3 Combine
5x + 4 = 6x Subtract 5x from both sides.
5x-5x+4=6x- 5x Combine
4 = x
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y + 10 = 4y + 2 Subtract y from both sides
y-y+10=4y-y+2 Combine
10 = 3y + 2 Subtract 2 from both sides
10-2=3y+2-2 combine
8 = 3y Divide by 3
8/3 = y
y = 2.67
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Now you just put x and y into the parts that make up IK.
IK should come out to 33.68