Help please on circle theorems

n = 28

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

35 + m = 0.5 × 98 = 49 ( subtract 35 from both sides )

m = 14

∠ n is at the centre subtended on the same arc as ∠ m , thus

n = 2m = 2 × 14 = 28

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

1.3 million hoops i believe