2ft is equal to 24 inches+3 is equal to 27 inches travelled total.
To find what is left subtract 59-27=32 inches left, which is equivalent to 2 ft 8 inches
Answer:
∠1 and ∠3 measure 29 degrees
∠2 and ∠4 measure 151 degrees
Step-by-step explanation:
we know that
Vertical angles are a pair of opposite angles formed by intersecting lines. They are always congruent to one another
see the attached figure to better understand the problem
we have that
m∠1=m∠3 -----> by vertical angles
m∠2=m∠4 -----> by vertical angles
m∠1+m∠2=180° ----> by supplementary angles (form a linear pair)
m∠3+m∠4=180° ----> by supplementary angles (form a linear pair)
In this problem we have
m∠1=(3x-1)°
m∠3=(2x+9)°
substitute in the expression
m∠1=m∠3
Solve for x
<em>Find the measure of m∠1 </em>
m∠1=(3x-1)°
substitute the value of x
m∠1=(3(10)-1)=29°
<em>Find the measure of m∠3 </em>
Remember that
m∠3=m∠1
therefore
m∠3=29°
<em>Find the measure of m∠2</em>
we have that
m∠1+m∠2=180°
m∠1=29°
substitute
29°+m∠2=180°
m∠2=180°-29°=151°
<em>Find the measure of m∠4</em>
Remember that
m∠4=m∠2
therefore
m∠4=151°
therefore
∠1 and ∠3 measure 29 degrees
∠2 and ∠4 measure 151 degrees
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
Exponential would be the correct answer I believe...
Answer:
The answer is 5,004,300
Step-by-step explanation:
Always remember it goes units, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions and so on.
Therefore, Start from right to left:
Substitute the units and tens for 0
"3 hundred" = 300
"4 thousand" = 4,300
Substitute the ten-thousand and hundred-thousand for 0
"5 million" = 5,004,300
Therefore, that's how you get your answer.