Jeremy lights a candle that is Six and one-half inches tall. After several hours, the candle is One-half as tall. What is the new height of the candle? A. 2 1/4
B. 3 1/4
C. 3 3/4
D. 1/4

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.