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Can you help me with this question?

Can you help me with this question?-example-1

1 Answer

3 votes

Answer:

Part A. 16.5.

Part B. 16.8.

Explanation:

Consider the smaller circle. 2 chords intersect so by the theorem of intersecting chords: 5S = 2*7

S = 14/5 = 2.8.

Also if we consider the 2 intersecting chords in the large circle, by the same theorem:

10(4 + 2.8) = 8.5(ON + 2)

40 + 28 = 8.5ON + 17

ON = (40 + 28 - 17) / 8.5

= 6.

So the mOE = 1.5 + 7 + 2 + 6

= 16.5.

And mMY = 5 + 5 + 4 + 2.8

= 16.8.