Hello! I can help you! First things first, because they are both the same angles on opposite sides, let's set this up in the form of an equation and solve for "x". It would be set up like this:
2x + 20 = 3x - 30
You see up top that it says 2(x + 10). What you would do is multiply what's in the parenthesis by 2, in order to get 2x + 20. Then put the equal sign and write 3x - 30. Subtract 3x from both sides to get -1x + 20 = -30. Subtract 20 from both sides to get -1x = -50. Divide each side by -1 to isolate the "x". In this case, because you are dividing a negative number by a negative number, your quotient will be positive. -50/-1 is 50. Let's plug in the value as "x" and see if it works. 50 * 2 is 100. 100 + 20 is 120. 50 * 3 is 150. 150 - 30 is 120. 120 = 120. There. x = 50.
Answer:
40.1 < μ < 43.3
Step-by-step explanation:
Margin of error = critical value × standard error
ME = CV × SE
At 99% confidence and 38 degrees of freedom, CV = 2.712.
SE = s / √n
SE = 3.86 / √39
SE = 0.618
So the margin of error is:
ME = 2.712 × 0.618
ME = 1.7
So the 99% confidence interval of the population mean is:
μ = 41.7 ± 1.7
40.0 < μ < 43.4
Closest answer is the first one.
Answer:
you cannot see the graph
Step-by-step explanation:
Answer: D. exponential growth
Step-by-step explanation:
Combine like terms on the right side of the equal sign:
7 - 3x = - 3x + 7
You can rearrange the right side to be:
7 - 3x = 7 - 3x
Because are the same thing, your answer ends up being all real numbers or infinitely many solutions. This means whatever number you plug in for the x-variable, the two sides will always be equal to each other.