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2 years ago

Find each measure m<1, m<2, m<3

Mathematics

1 answer:

Tom [10]2 years ago

4 0

Answer:

option 2.

m1 = 147° m2 = 80° m3 = 148°

Step-by-step explanation:

a flat angle has 180 °

m1 + 33 = 180

m1 = 180 - 33

m1 = 147

47 + 33 + x = 180

x = 180 - 47 - 33

x = 100

as they are two crossed lines the angle is reflected from the opposite side

48 + 100 + y = 180

y = 180 -100 - 48

y = 32°

180 = m3 + 32

m3 = 180 - 32

m3 = 148

With the same principle as the previous one we know that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle

m2 * 2 = 360 - 100*2

m2 = 160 / 2

m2 = 80

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Mrrafil [7]

Answer:

53°

Step-by-step explanation:

The angle that measures 143 is vertical to the right angle and the ? angle.

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So do 143 - 90 = 53

So the ? angle = 53

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2 years ago

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the

Anna007 [38]

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

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2 years ago

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2 years ago

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Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

2 years ago

PLZ HELP ME I NEED HELP I WILL GIVE A BRAIN

mezya [45]

Hey!!
Here is the answer to your question
1- B
2-A

5 0

2 years ago