Answer:
Step-by-step explanation:
Given:
To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,
Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]
Answer:
Kevin should do 15 shock replacements and 6 brake replacements every week to maximize his weekly income.
Step-by-step explanation:
Both jobs take the same amount of time to complete (2 hours), therefore, in order to maximize his income, Kevin should prioritize the job that gives him the greatest income, which is replacing shocks.
If each job takes 2 hours and he works at most 42 hours per week, Kevin can complete 21 jobs per week. He should aim to do as little break replacements as possible and as many shock replacements as possible to maximize income.
If he completes at least 6 break replacements, the remaining jobs should all be shock replacements:
Kevin should do 15 shock replacements and 6 brake replacements every week to maximize his weekly income.