Answer:
BC = 9 miles
Step-by-step explanation:
Here, we are given ΔABC ∼ ΔEDC, which means both triangles are similar and they tend to have the same dimensions and properties.
To find the length of BC, we are given the proportion:

Where x represents the length BC.
Solving further, let's cross multiply


Solving for x, we have:

Lets divide both sides by 8


Therefore the distance BC is 9 miles
The answer is D because on the x axis the number is 8 and on the y axis the number is -8
Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.
Explanation:
1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.
2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:
- Call n the amount of figurines owned last year.
- F is the number of figurines purchased: F = 15%n = 0,15n
- Hence, you just need to clear F from the expression F = 0.15n
- Divide both sides by 0.15:
F / 0.15 = n or n = F / 0.15 (reflexive property)
- To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:
(F / 0.15) × (100 / 100) = 100F / 15
100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F