Answer: you forgot attachment
Step-by-step explanation:
<h3>
Answer:</h3>
6 cm, 8 cm, 12 cm
<h3>
Step-by-step explanation:</h3>
The perimeter of the reference triangle is ...
... (15 +20 +30) cm = 65 cm
Then the similar triangle has a scale factor of ...
... (26 cm)/(65 cm) = 2/5
Multiplying the side lengths of the reference triangle by 2/5, we get ...
... {15 cm, 20 cm, 30 cm) × 2/5 = {6 cm, 8 cm, 12 cm}
These are the side lengths of the smaller similar triangle. (Check: their sum is 26 cm.)
Answer:
Simplifying
4x + 9 = 12x + -3
Reorder the terms:
9 + 4x = 12x + -3
Reorder the terms:
9 + 4x = -3 + 12x
Solving
9 + 4x = -3 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
9 + 4x + -12x = -3 + 12x + -12x
Combine like terms: 4x + -12x = -8x
9 + -8x = -3 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + -8x = -3 + 0
9 + -8x = -3
Add '-9' to each side of the equation.
9 + -9 + -8x = -3 + -9
Combine like terms: 9 + -9 = 0
0 + -8x = -3 + -9
-8x = -3 + -9
Combine like terms: -3 + -9 = -12
-8x = -12
Divide each side by '-8'.
x = 1.5
Simplifying
x = 1.5
Step-by-step explanation: