Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide. one foot of the fence cost $43. the cost of the gate is $ 128. write an expression that represents the total cost of the fence and the gate. explain how you determined your expression. enter your expression and your explanation in the space provided.

a. she will receive a refund of $278.

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.