Find e (circle theorems)

The value of e in the diagram is 71 degree

Angles in alternate segment are equal. The angle between the tangent and the side of the triangle is equal tot the opposite interior angle.

Therefore,

∠TPQ = 19°

∠QPR = 180 / 2 = 90° (angle at the centre is double the angle at the circumference)

Therefore,

109 + e = 180

e  =180 - 109

e = 71°

learn more on circle theorem here:

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas