In the diagram below, an and bc are tangent to o. which equation could be solved to find x, the measure of ac

There are three ways I know offhand to get x. Since the total circle is 360 degrees, x=360-238=122 degrees. Since quadrilateral BAOC has two right angles the other two angles are supplementary, x=AOC=180-58=122 degrees.

The third way is the rule they want you to recall here: Angle ABC is half the difference of the arcs:

Choice A, which checks when x=122 degrees.

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

7,24

step-by-step explanation: