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4 years ago

Given: m KL =25°, m MJ =85° Find: m∠MEJ

Mathematics

2 answers:

aniked [119]4 years ago

7 0

Answer:

30°

Step-by-step explanation:

x=(a-b)/2 because of secants exterior angles

x=(85-25)/2 Substitution

x=60/2 Algebra

x=30° Answer

nata0808 [166]4 years ago

3 0

Answer:

30°

Step-by-step explanation:

If the measure of the arc KL is 25°, then the central angle KOL has measure 25° and the inscribed angle KML subtended on the arc KL has the measure 12.5°.

If the measure of the arc MJ is 85°, then the central angle MOJ has measure 85° and the inscribed angle MLJ subtended on the arc MJ has the measure 42.5°.

Thus, the measure of the angle ELM is 180°-42.5°=137.5°.

Consider triangle EML. In this triangle,

m∠MEL=180°-137.5°-12.5°=30°.

Thus, m∠MEJ=30°.

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A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is lab

Anastasy [175]

Answer:

First Part;

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Second Part;

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Step-by-step explanation:

Question;

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What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

$\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}$

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

$b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }$