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algol [13]
2 years ago
6

Find the values of the variables and please give the reasons​

Mathematics
1 answer:
nikklg [1K]2 years ago
8 0

180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )

a+b+60 =180°

a+ b= 180 ° - 60° = 120°

(a+b) are 2 variables

so 120 ÷2 =60 °

therefore a and b =60 °

c +b+ 60° = 180° ( co - interior angles are supplementary angles )

c+60° +60° =180°

c +120° =180°

c =180°-120°

c=60 °

d=60° (alternate angles are equal )

or

c+b+d=180°

60° +60° + d = 180°

d=180°-120°

d=60°

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marusya05 [52]

Answer:

i)

Find the attached

ii)

The mathematical model that best fits the data is;

The quadratic model

Step-by-step explanation:

i)

A scatter-plot can easily be constructed using applications such as Ms. Excel.

In Ms. Excel, enter the data into any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.

Excel returns a scatter-plot chart as shown in the attachment below.

ii)

After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.

Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.

Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.

Find the attached for the various trend-lines fitted.

The mathematical model that best fits the data is;

The quadratic model

Since it has the largest R-squared value of 1.00

4 0
2 years ago
a state charges an 8.5% sales tax and a 10% excise tax on gasoline. he purchased $25 of gasoline before tax. How should he find
Mama L [17]

Answer:

The total money spend on total tax of purchase is $4.625

Step-by-step explanation:

Given as :

The percentage of sales tax applied on gasoline purchase = 8.5%

The percentage of excise tax applied on gasoline purchase = 10%

The price of gasoline before tax = $25

Let The total money on total tax of purchase = $x

Now, Total percentage of tax = sales tax percentage + excise tax percentage

i.e  Total percentage of tax = 8.5% + 10%

Or,  Total percentage of tax = 18.5%

<u>Again</u>

total money on total tax of purchase = $25 of total total tax percentage

Or, x = $25 × 18.5%

Or, x = $25 × \dfrac{18.5}{100}

Or, x = $25 × 0.185

∴  x = $4.625

So,The total money on total tax of purchase = x = $4.625

Hence,The total money spend on total tax of purchase is $4.625 Answer

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2 years ago
Sketch a graph of a piecewise function. Write the domain in interval notation.
natima [27]

Answer: -33

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5 0
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On this day last year we got 14 inches of snow. This year we got 2 inches. What is the percent of change and is it an increase o
gizmo_the_mogwai [7]

Answer:D

Step-by-step explanation:

6 0
3 years ago
each hour the number of bacteria in dr. nall's petri dish tripled what percent is the population compared to the population the
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The starting percent is 100%. After one hour, bacteria tripled, so it is 300%.
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