Answer:
No Solution
Explanation:
5(3 - 9b) = 3(-15b – 2)
Expand
5(3 - 9b): 15 - 45b
3(-15b - 2): -45b - 6
15 - 45b = -45b - 6
Subtract 5 From Both Sides
15 - 45b - 15 = -45b - 6 - 15
Simplify
-45b = -45b - 21
Add 15b To Both Sides
-45b + 15b = -45b - 21 + 15b
Simplify
0 = -21
No Solution
Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12
I hope this somewhat helped :)
Was my explanation clear enough?