formula for the slope of a line, problem solving by solving simpler parts first, and cartesian plane for graphing.
The scale factor would be 1:1 (1) for this question
Answer:
The answer to your question is Perimeter = 287.3 in
Step-by-step explanation:
AB = 90 in
BC = 80 in
∠B = 50
Perimeter = ?
Process
1.- We need to find AC using Law of sines



A = 42.9 ≈ 43
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
43 + B + 50 = 180
B = 180 - 43 - 50
B = 87°


AC = 117.3
2.- Find the perimeter
Perimeter = AB + BC + AC
Perimeter = 90 + 80 + 117.3
Perimeter = 287.3 in
Translating that problem into an equation with x as a variable we get 3x + x +10 = 22. Combine like terms to get 4x + 10 = 22. Subtract 10 on both sides to get 4x = 12. Divide by 4 on both sides to get x = 3.
Now to plug in. The first number was represented by 3x. So substituting 3 for the x we get 3(3) = 9. And again for the second number represented by x+10, 3+10 = 13.
Your numbers are 9 and 13. To check just add them together. 13 + 9 is 22, I'll save ya the effort.