Answer:
a) A = 48x + 24
b) Yes
Step-by-step explanation:
a) The area of a rectangle is found using A = l*w. Substitute l = 6x + 3 and w = 8 to find the area.
A = (6x + 3)(8) = 48x + 24
b) Repeat the same process with the formula A = l*w. Substitute l = 4x + 2 and w = 12.
A = (4x+2)(12) = 48x + 24
The areas are the same.
Answer: scale factor = 1.5
Step-by-step explanation:
Given: Triangle ABC is a scaled copy of triangle DEF.
Side AB = 12 cm and is the longest side of ABC.
Side DE = 8 cm and is the longest side of DEF.
AB is corresponds DE (longest side of both triangles)
So, 
Hence, the scale factor = 1.5.
Answer:
12%
Step-by-step explanation:
amount of change/original value×100%
note: any thanks would be appreciated. thank you!
Answer:
The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°
Step-by-step explanation:
Data
∠ FSH = 5x - 8
∠NSF = 9x - 12
∠NSH = 10x + 20
Process
1.- Write a equation to solve this problem
∠NSH = ∠NSF + ∠FSH
2.- Substitute values
10x + 20 = 9x - 12 + 5x - 8
3.- Solve for x
10 x - 9x - 5x = - 12 - 8 - 20
10x - 14x = - 12 - 28
- 4x = - 40
x = -40 / -4
x = 10
4.- Find the measure of all three angles
∠FSH = 5(10) - 8
= 50 - 8
= 42°
∠NSF = 9x - 12
= 9(10) - 12
= 90 - 12
= 78°
∠NSH = 10(10) + 20
= 100 + 20
= 120°
5.- Check the answers
120° = 78° + 42°
120° = 120°
The answers are correct
Part one, false. part two true
