Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 13 turkey sandwiches and 69 chef salads, for a total of $151. During the late lunch, 61 turkey sandwiches and 41 chef salads were sold, for a total of $143. How much does each item cost?

chef salads = $2

turkey sandwiches = $1

Step-by-step explanation:

two equations can be derived from the question

13t + 69c = 151 eqn 1

61t + 41c = 143 eqn 2

t = turkey sandwiches

c = chef salads

multiply equation 1 by 61 and equation 2 by 13

793t + 4209c = 9211 eqn 3

793t + 533c = 1859 eqn 4

subtract equation 4 from 3

7352 = 3676c

c =2

substitute for c in equation 1

13t + 69(2) = 151

13t + 138 = 151

13t = 151 - 138

13t = 13

t = 1

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.