If m∠O = 111, find the value of x in this figure.

Mathematics

2 answers:

uranmaximum [27]4 years ago

8 0

The answer to this rather easy question is 69.

quester [9]4 years ago

4 0

Answer:

Option 2. 69° is the right answer.

Step-by-step explanation:

In this question there are two tangents MN and MP drawn on a circle O and ∠PON = 111° and ∠PMN=x°

We have to find the vale of x.

As we know Radius of a circle is always perpendicular to the tangent drawn so ∠ ONM = ∠OPM = 90°

And sum of all angles of OPMN = 4×90°=360°

⇒∠ONM+∠NMP+∠MPO+∠PON = 360°

⇒ 90°+X°+90°+111°=360°

⇒ 291°+X°=360°

⇒ X° = 360°-291° = 69°

⇒ X° = 69°

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kondor19780726 [428]

Answer:

The equation of the regression line is:

$y~=~234.56158 ~-~ 2.95835 \cdot x$

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

$\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}$

To find the line of best fit for the points:

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$\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897$

Step 3: Use the following equations to find a and b:

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