Please help . What is the scale factor of the dilation?
1 answer:
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Answer:
x = 45
Step-by-step explanation:
The angles with (2x + 45) and x are supplementary angles, meaning they add up to 180°. We can write this statement as an algebraic equation of and solve it.
Step 1: Combine like terms.
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 3.
Step 4: Check if solution is correct.
Therefore, x = 45.
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Answer:
The exact solution is
And the approximation to three decimal places is:
x = 0.363
Step-by-step explanation:
Here we have the equation:
Now we can remember a property of the natural logarithm function:
Ln(a^n) = n*Ln(a)
Now we can apply the Ln( ) function to both sides of that equation to get:
Then we get:
Solving that for x we get:
So the exact solution is:
And the approximation to three decimal places is:
x = 0.363