Answer:
<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD
We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3
THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)
Therefore, CE / BC is equal to DC / AC
Your full answer is
<ACB = <ECD, CE / BC = DC / AC
So triangle ABC ~ triangle CDE
Step-by-step explanation:
I am going to show you the easiest, quickest and most direct way of doing it.
Take in account:
1) the result of applying a 20% discount is the same that multiplying times a factor of 0.8, which results from (100 - 20) / 100 = 80 /100 = 0.8
2) adding a 6.5% of tax is the same that multiplyiing by a factor of 1 + 6.5/100 = 1 + 0.065 = 1.065
With that
Super Sport store:
12 * 72.50 * 0.8 * 1.065 = 741.24
Double Dribble
Use that a disscount of 9% results in a factor o 0.91.
I amended the shipping fee data to 5.99 per pair of shoes.
12*54.75*0.91 + 5.99*12 = 669.75
Difference: 741.24 - 669.75 = 71.48
Answer:
56
Step-by-step explanation:
to find the answer, divide 42 by 6/8
42 x 8/6 = 56
The base is (-5, -2) so the first graph is correct.