Austen and Troy take long walks every evening. Austen walks at a constant speed of 4 miles per hour, and Troy walks at a constant speed of 5 miles per hour. One evening, Austen headed out first, and had already gone 5 miles when Troy started his walk. When they have walked the same distance, how far will they each have walked? Write a system of equations, graph them, and type the solution.

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:

a and d