Question

Please help me, I’m really confused! We are supposed to find the missing lengths.

Answer 1

In every case, use the secant rule for chords: the product of the lengths on either side of the pont of intersection is the same.

Left-to-right, top-to-bottom:
1. 8x = 6*10
.. x = 60/8 = 7.5 (M)

2. 2x = 4*6
.. x = 24/2 = 12 (Y)

3. 16x = 4*14
.. x = 56/16 = 3.5 (T)

4. x² = 4*9
.. x = √36 = 6 (W)

5. 4x = 2*8 . . . . . . the diameter is 10. It is divided into parts that are 2 and 8.
.. x = 16/4 = 4 (A)

6. 6x = 7*13 . . . . .. same as previous. The overall length of 20 is divided into parts that are 7 and 13.
.. x = 91/6 ≈ 15.2 (D)

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The letter sequence makes no sense to me. I expect it is supposed to spell something intelligible.