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3 years ago

Exterior Angles and Isosceles Triangles

Mathematics

2 answers:

Naddika [18.5K]3 years ago

7 0

Exterior angles =180-75=105
Interior angles =180_69=111

Ad libitum [116K]3 years ago

3 0

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

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Hey there!

This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.

For x:

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For y:

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Now, to find the slope, we can easily convert it to slope intercept form:

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BartSMP [9]

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(a) See below

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(d) See below

(e) No.

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I used Excel to plot your data and got the graph in Fig 1 below.

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One formula for the correlation coefficient is

$r = \dfrac{\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2} -\left (\sum{y}\right )^{2}\right]}}$

The calculation is not difficult, but it is tedious.

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We can display them in a table.

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The equation for the regression line is

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Insert the values of x into the regression equation to get the estimated values of y.

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