Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
m∠6 = 90°
Answer:
(2,-6) Brainliest???
Step-by-step explanation:
The green line is x=y
I recomend to use desmos for questions like this ;)
Answer:
-2; 1; 4; 7
Step-by-step explanation:
To solve for y, plug the x value in to the expression
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = -1, y = -2
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 0, y = 1
y = 3(1) + 1
y = 3 + 1
y = 4
When x = 1, y = 4
y = 3(2) + 1
y = 6 + 1
y = 7
When x = 2, y = 7
The equation that represents the linear function is y = 2x.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let us assume that from the table, we get the data with points (0, 0) and (2, 4). Hence:
The equation that represents the linear function is y = 2x.
Find out more on Linear equation at: brainly.com/question/13763238
Answer:
The 95% confidence interval for the population mean is between 17.9 and 20.3 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.306
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 19.1 - 1.2 = 17.9 years.
The upper end of the interval is the sample mean added to M. So it is 19.1 + 1.2 = 20.3 years.
The 95% confidence interval for the population mean is between 17.9 and 20.3 years.