The triangles ABC and DEC are similar triangles. We can prove this using the AA similarity theorem (angle A & angle D are congruent right angles; angle ACB & angle DCE are congruent vertical angles)
Because they are similar triangles, we can form the proportion below and solve for x to get...
AC/CD = BC/CE
2/5 = 3.61/x
2*x = 5*3.61
2*x = 18.05
2*x/2 = 18.05/2
x = 9.025
So EC is roughly 9.025 miles long
This means,
distance from Marc's house to Lewis's house = length of BE
distance from Marc's house to Lewis's house = (length of BC) + (length of EC)
distance from Marc's house to Lewis's house = (3.61) + (9.025)
distance from Marc's house to Lewis's house = 12.635
So the answer is choice D) 12.62 as this is the closest value to 12.635
Answer:
diagram and the SAS Congruence Postulate to prove the two triangles are congruent. Explain Henry's mistake. LOGICAL REASONING Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, tell which congruence postulate you would use.
Step-by-step explanation:
Hope it helps out
