Quadrilateral ABCD is inscribed in circle O.

What is m∠C ?

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°

A quadrilateral is inscribed in a circle O. The vertices of the quadrilateral lie on the edge of the circle and are labeled as A, B, C, and D. The interior angle B is labeled as 2 x plus 3. The interior angle C is labeled as 2 x plus 1. The interior angle D is labeled as 4 x plus 3.

Opposite angles of inscribed quadrilaterals are supplementary.

That means ∠D + ∠B = 180°

So, we can substitute in the given values.

(4x + 3) + (2x + 3) = 180

Solve for x.

4x + 3 + 2x + 3 = 180

6x + 6 = 180

6x = 174

x = 29

We know ∠C = 2x + 1, so we can substitute our value of x in.

∠C = 2x + 1

∠C = 2 * 29 + 1

∠C = 58 + 1

∠C = 59°

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2