Answer:
°
Step-by-step explanation:
"Theorem 9-13: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."
Basically no matter what other circle, secant or tangent you get, you just use the formula
If you need the outer angle, just put the other angles in and solve
If you need the far or near point angle, re-arrange the formula to get that value.
Another name for ∠2 is ∠PMR.
<u>Answer-</u>
Correlation coefficient for the data in the table was found to be 0.93.
<u>Solution-</u>
Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.
We know that,
![r=\frac{n(\sum xy)-\sum x \sum y}{\sqrt{[n\sum x^{2} -({\sum x})^{2}]\times [n\sum y^{2} -({\sum y})^{2}]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%5Csum%20x%20%5Csum%20y%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E%7B2%7D%20-%28%7B%5Csum%20x%7D%29%5E%7B2%7D%5D%5Ctimes%20%5Bn%5Csum%20y%5E%7B2%7D%20-%28%7B%5Csum%20y%7D%29%5E%7B2%7D%5D%7D%7D)
Calculating the values from the table, then putting it in the formula
![r=\frac{4 \times 3130.9 \ - \ 6.45 \times 1473}{\sqrt{[4\times 12.3725 \ - \ 6.45^{2}][4 \times 877475 \ - \ 1473^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%20%5Ctimes%203130.9%20%5C%20-%20%5C%206.45%20%5Ctimes%201473%7D%7B%5Csqrt%7B%5B4%5Ctimes%2012.3725%20%5C%20-%20%5C%206.45%5E%7B2%7D%5D%5B4%20%5Ctimes%20877475%20%5C%20-%20%5C%201473%5E2%5D%7D%7D)

∴ Correlation coefficient for the data is 0.93.
67.2
ST + SR + TR = perimeter of RST
ST = PQ × TR/QO