What is the value of x?

x = 58

Step-by-step explanation:

The secant- tangent angle 51° is calculated as half the difference of the intercepted arcs, that is

(160 - x) = 51 ← multiply both sides by 2 to clear the fraction

160 - x = 102 ( subtract 160 from both sides )

- x = - 58 ( multiply both sides by - 1 )

x = 58

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