Answer:
Check it below
Step-by-step explanation:
Hello!
By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.
In the triangle PQR::
- Use a compass, open its legs with a little more than half of
. Place the needle point in the vertex of P. Mark! - Do the same, placing the needle point in Q, following
direction. Mark - Repeat it with the other triangle's line segment, namely:

4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.
5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.
For this case we have the following equation:

If we multiply both sides of the equation by 3 we get:
---> Multiplication Property of Equality
Applying the distributive property we have:
---> Distributive Property
Adding 1 on both sides of equality we have:

---> Addition Property of Equality
Subtracting
on both sides we have:

---> Subtraction Property of Equality
Finally, dividing by -4 on both sides we have:

---> Division Property of Equality
Answer:
There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).
The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).
3/18 = 0.166667
hope this helps .
An acute angle is any angle that is below 90 degrees, so 89 degrees is an ancute angle