Use the figure to answer the question that follows: When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

Which is the most logical order of statements and reasons I, II, and III to complete the proof?

Select one:
a. I, III, II
b. II, I, III
c. II, III, I
d. III, I, II

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.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.