Mr. and Mrs. Smith started walking home from different locations at the same time. They each walked at a constant speed. Mr. Smith's distance (in kilometers) from home as a function of time (in minutes) is given by the following table of The graph of Mrs. Smith's distance (in kilometers) from home as a function of time (in minutes) is shown below.
Time Distance
14 3.6
21 2.9
28 2.2
Who walked a greater distance to get home? Choose 1
A. Mr. Smith
B. Mrs. Smith
C. They both walked the same distance
Who walked faster? Choose 1
A. Mr. Smith
B. Mrs. Smith
C. They both walked at the same speed

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step-by-step explanation:

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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.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.