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3 years ago

Which relationship is always true for the angles r, x, y, and z of triangle ABC?

Mathematics

1 answer:

mariarad [96]3 years ago

3 0

That's the second one,

180 - x = r

Whenever two lines cross we get congruent opposite angles and supplemental adjacent angles, i.e. they add to 180 degrees.

The first one is almost right; we have r+y+z=180 and r+x=180 so x=y+z not quite what was written.

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10 exponent negative 9 divided by 10 exponent negative 3

anygoal [31]

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3 years ago

The diagram shows the width and area of a rectangle.

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Step-by-step explanation:

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3 years ago

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

Vikentia [17]

Answer:

Linear approximation is given by: $y = \frac{x}{5}+2$

Step-by-step explanation:

We are given the following information in the question:

Number of citations: 5 7.5 10 15 20

Outputs Residuals: 3 6 10 5 6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

$(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)$

where, $(x_1,y_1), (x_2.y_2)$ is the point through which the line passes.

The equation of line is:

$(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2$

The above equation is the required linear approximation.

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3 years ago

Find an equation for the line that passes through the points (-4,-1) and (6,-5)

Sergio [31]

Answer:

y= -2/5x-13/5

Step-by-step explanation:

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3 years ago