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marta [7]
4 years ago
10

Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measuremen

t of angle B′?
Mathematics
2 answers:
MariettaO [177]4 years ago
8 0

Answer:

B' is 20 degrees

Step-by-step explanation:

the angle does not change when its rotated it will only change when its dilated when rotated the (x,y) symbols change not the angle measurements

olasank [31]4 years ago
6 0

Answer:

The answer is 20 degrees

Step-by-step explanation:

A trapezoid is a quadrilateral with four angles and the sum of the four angles is 360 degrees.

Britton rotated the trapezoid ABCD 180º, but we were not told that he tampered with the angles size or shape, we can now agree that it is still the same trapezoid that was rotated without any alterations in angles, size and shape.

Since we've been given that the angle B is 20º, and the measurement was not altered when rotating the trapezoid. Therefore the angle B' will also be 20º.

I hope this helps.

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Use the graphing tool to create a histogram of Gretchen’s data. Use eight bins for your histogram.
lozanna [386]

The number of bins in the histogram determines the width of the bins and

the frequency (number of members) in a bin.

  • Please find attached the graph of the histogram of Gretchen's data created with MS Excel.
<h3 /><h3>Method used to create the histogram of Gretchen's data</h3>

Given:

The table from  Gretchen's data is presented as follows;

\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]

The required number of bins = 8 bins

The steps to create the histogram using MS Excel;

  • Enter the 15 dataset for the number of days as presented in the above table in a column on the worksheet.

  • Select the dataset entered into the cells from above then select the Insert menu.

  • In the Chart section of the insert menu click on the Histogram icon to view the quick options for histograms type charts.

  • Select the Histogram option from the drop down menu from the quick options for histograms, to create an histogram chart.

  • Right-click the histogram created from the previous step, then select Format Chart Area from the pop up menu.

  • In the Format Chart Area task pane, click on the arrow next to Chart Options, then select Horizontal Axis from the options menu.

  • Click on the histogram icon under Axis Options, then click on arrow button besides Axis Option sub menu, to display the axis options.

  • Click on the Number of bins radio button then enter 8, to create an histogram having 8 bins.

The histogram of Gretchen's data having eight bins created with MS Excel is attached.

Learn more about creating a histogram chart here:

brainly.com/question/25069221

brainly.com/question/4601962

5 0
2 years ago
the volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of
FrozenT [24]

Answer:

The new volume is 8 times smaller than the original volume

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the volume of the reduced sphere

y ----> the volume of the original sphere

so

z^{3}=\frac{x}{y}

we have

z=1/2 ----> scale factor

substitute

(1/2)^{3}=\frac{x}{y}

(1/8)=\frac{x}{y}

x=\frac{y}{8}

therefore

The new volume is 8 times smaller than the original volume

Verify

The volume of the original sphere is

r=18/2=9\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (9)^{3}=972\pi \ cm^{3}

the volume of the reduced sphere is

r=9/2=4.5\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (4.5)^{3}=121.5\pi \ cm^{3}

Divide the volumes

972\pi \ cm^{3}/121.5\pi \ cm^{3}=8

4 0
3 years ago
10. What is the value of the function f(x) = 7x when x = 0.75 ?
melomori [17]

Answer:

7(0.75) = 5.25

f = 7

Step-by-step explanation:

7 0
3 years ago
Match each vertex in ABC to its corresponding vertex in the dashed triangle.
Lelu [443]

A -> A

B -> E

C -> D

Theyre similar triangles, ABC = AED

3 0
3 years ago
Is the graph a linear function , nonlinear , function , or relation
Irina-Kira [14]

It is a linear function , Option A is the right answer.

The missing graph is attached with the image

<h3>What is a Linear Function ?</h3>

A linear function is a function that can be represented by the equation

y = mx +c

where m  is the slope and the c is the intercept on y axis.

From the graph it can be seen that it is following a straight line pattern and therefore it can be represented by y = mx +c and

Therefore it is a linear function , Option A is the right answer.

To know more about Linear Function

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#SPJ1

6 0
2 years ago
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