Answer:
A. Similar using SAS; ∆ABC ~ ∆DFE
Step-by-step explanation:
m<B of ∆ABC = m<F of ∆DFE
AB corresponds to DF
AB/DF = 12/8 = 3/2
BC corresponds to FE
BC/FE = 24/16 = 3/2
Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.
By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE
<em><u>Problem One</u></em>
Remark
You don't pay a sales tax until cash is exchanged for goods or services.
So what is 70% off
Solution
Sale price = given price * (100% - 70%)
Sale Price = 72 * 30%
Sale Price = 72 * 30/100
Sale Price = 72 * 0.3
Sale Price = 21.6 dollars.
The sales tax is 5% of this amount
21.6 * 5/100 = 1.08
The total cost is = 21.6 + 1.08 = 22.68
Problem Two
If they marked up 100%, effectively they doubled the price.
New Price = old price + 100% of old price.
New Price = 48.50 + 48.50 = 97 dollars.
The sales tax is 6% * 97 = 6/100 * 97 = 5.82
Total Cost = Cost of item + Tax
Total Cost =97 + 5.82
Total Cost = 102.82 Answer <<<<
If you turn the ratio 1:3 into a fraction it would be 1 over 3 I hope this helps
The volume of a rectangular prism can be found by the formula:
V = A × h
Where:
A = area of the base of the prism
h = height of the prism
Therefore:
V = 450 × 53
= 23850 in³
The volume of the file cabinet is <span>23850 in³.</span>
