Answers
The measures of the angles of the triangles are
m∠1 = 55°
m∠2 = 125°
m∠3 = 35°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔCDE
And ∠BAC = m∠1
And , ∠CDE = m∠3
Now , from the triangle ΔABC
∠ABC = 180° - 110° ( Angle of a straight line is 180° )
So , the measure of angle ∠ABC = 70°
The sides of the triangle AC and BC are similar
So , The angles of the triangle are = 70° + x + x = 180°
On simplifying the equation , we get
70° + m∠1 + m∠1 = 180°
Subtracting 70° on both sides of the equation , we get
2m∠1 = 110°
Divide by 2 on both sides of the equation , we get
m∠1 = 55° = ∠ACB
And , ∠ACB and m∠2 are on a straight line
So , m∠2 = 180° - 55°
On simplifying the equation , we get
m∠2 = 125°
The triangle ΔCDE is a right triangle with ∠DCE = m∠1 ( vertically opposite angles )
So , the angles of the triangle are = 90° + 55° + m∠3 = 180°
On simplifying the equation , we get
145° + m∠3 = 180°
Subtracting 145° on both sides of the equation , we get
m∠3 = 35°
Hence , the measures of the angles of the triangles are are m∠1 = 55° , m∠2 = 125° , m∠3 = 35°
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Related Questions
PLEASE HELP MEEEEEEEEEEEEEEEEEE
Answers
Answer:
C, D, E
Step-by-step explanation:
Additive inverses is pretty much the same number, but one is positive and one is negative.
In this case C, D, and E would be it.
C; both are 7, but ones negative and ones positive
D; both are 20, but ones negative and ones positive
and same with E... both are 335, but ones negative and ones positive
How do you dilate a line segment around a point?
Answers
You dilate a line segment around a point by following a simple procedure mentioned below that begins with identifying the center of a line segment.
Dilating a line segment around a point is a simple process. First, you need to identify the center of the line segment.
Then, use a ruler or other measuring device to measure the distance from the center of the line segment to each end point.
To dilate the line segment, multiply the measured distance by the desired scale factor. Finally, draw a new line segment connecting the two new end points.
This will give you the dilated line segment around the point you identified at the beginning.
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9⋅10 7 9, dot, 10, start superscript, 7, end superscript is how many times as large as 3\cdot10^33⋅10 3 3, dot, 10, cubed?
Answers
The number 9 x 10^7 is 30,000 times greater than the number 3 x 10³.
How to obtain how many times a number is greater than another?To obtain how many times a number a is greater than a number b, we have to obtain the ratio, which is the division of the number a by the number b.
The numbers in this problem are given as follows:
9 x 10^7.3 x 10³.The division of these two numbers is given as follows:
(9 x 10^7)/(3 x 10³).
The division of the two coefficients is given as follows:
9/3 = 3.
For the powers of 10, we have the division of two terms with the same base and different exponents, hence we keep the base and subtracted the exponents, as follows:
10^7/10³ = 10^(7 - 3) = 10^4 = 10,000.
Hence the complete quotient is given as follows:
3 x 10,000 = 30,000.
Which is how many times the number 9 x 10^7 is greater than the number 3 x 10³.
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is u in the plane in set of real numbers rℝcubed3 spanned by the columns of a? why or why not?
Let u [-16 18 10] and A [2 -3 1 -4 5 1] Is u in the plane in R3 spanned by the columns of A? Why or why not? 10 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O A. No, the reduced row echelon form of the augmented matrix is which is an inconsistent system. O B. Yes, multiplying A by the vectorwrites u as a linear combination of the columns of A.
Answers
u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is, [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right][/tex]
Given data,
Let u [-16 18 10] and A [2 -3 1 -4 5 1]
u in the plane in set of real numbers rℝcubed3 spanned by the columns of A,
So,
We can write,
u = [tex]\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right][/tex] and A = [tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex]
Then,
AX = b
w = [tex]\left[\begin{array}{ccc}2&-3&-16\\1&-4&18\\5&1&10\end{array}\right][/tex]
A = [tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex]
null A = [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex]= [tex]\left[\begin{array}{ccc}0&\\0&\\0&\end{array}\right][/tex]
2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = 0
[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 0
5[tex]x_{1}[/tex] + 1[tex]x_{2}[/tex] = 0
We can solve the equations,
2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = 0
[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 0
-----------------------
[tex]x_{1}[/tex] - 7[tex]x_{2}[/tex] = 0
[tex]x_{1}[/tex] = 7[tex]x_{2}[/tex]
We can substitute [tex]x_{1}[/tex] values,
2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = 0
2*7[tex]x_{2}[/tex] - 3[tex]x_{2}[/tex] = 0
[tex]14x_{2}[/tex] - 3[tex]x_{2}[/tex] = 0
11[tex]x_{2}[/tex] = 0
[tex]x_{2}[/tex] = 0
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex]= = [tex]\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right][/tex]
2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = -16
[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 18
5[tex]x_{1}[/tex] + 1[tex]x_{2}[/tex] = 10
We can solve the matrix equations,
2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = -16
[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 18
--------------------------
[tex]x_{1}[/tex] - 7[tex]x_{2}[/tex] = 2
[tex]x_{1}[/tex] = 2 + 7[tex]x_{2}[/tex]
[tex]x_{1}[/tex] = 2 + 7(0)
[tex]x_{1}[/tex] = 2
2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = -16
2*2 - 3[tex]x_{2}[/tex] = -16
4 - 3[tex]x_{2}[/tex] = -16
- 3[tex]x_{2}[/tex] = -16 - 4
- 3[tex]x_{2}[/tex] = -20
3[tex]x_{2}[/tex] = 20
[tex]x_{2}[/tex] = 20/3
[tex]x_{2}[/tex] = 6.66
Therefore,
u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is, [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right][/tex]
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y>-²x+3
Line: Solid or Dashed?
Shade: Above or Below?
m=
b=
Are these points solution: (0,0)
(3,3)
(5,4)
Answers
On solving the provided question, we can say that - by doing the inequality equation, [tex]6x - 4 > 8 - 2x = > x > 3/2[/tex]
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
[tex]6x - 4 > 8 - 2x\\6x > -2x + 12\\8x > 12\\x > 3/2[/tex]
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The temperature in fargo nd was -28 degrees on monday afternoon. By the evening, it dropped an addition 15 degrees. What was the temperature in the evening?
Answers
28+15= 43
Answer two questions about Systems AAA and BBB
1) How can we get System BBB from System AAA?
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
Answers
1. To get system B form A: C. Swap only the right-hand sides of both equations.
2. They are not equivalent systems.
How to Find the Solution to a System of Equations?The point of intersection of two equations of a system gives us the solution, which is the coordinate of that point.
If two systems are equivalent, then they will have the same solution or point of intersection.
1. To get system B from A, the values at the right hand side of both equations were swapped.
2. The graph of system A, -10x - 4y = 0 and -2y + 7y = 8 is given in figure 1. The solution is (-0.64, 1.6).
The graph of system B, -10x - 4y = 8 and -2y + 7y = 0 is given in figure 2. The solution is (-0.8, 0).
Therefore, the systems are not equivalent.
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Alia prepared two different souvenirs for 16 male teacher's and 28 female teacher's for her retirement ceremony. The unit price of the souvenirs for male teacher's and female teacher's are RM5 and RMz respectively. If Alia spent RM234 for the souvenirs, calculate the unit price of the souvenirs for female teacher's.
Answers
The unit price of the souvenirs for female teachers is RM5.50.
First, let's define some variables to represent the information given in the problem:
Let M be the number of male teachers
Let F be the number of female teachers
Let P_M be the unit price of the souvenirs for male teachers
Let P_F be the unit price of the souvenirs for female teachers
We are given that M = 16, F = 28, and P_M = RM5. The problem asks us to find P_F.
We can set up the following equation to represent the total cost of the souvenirs:
(M * P_M) + (F * P_F) = RM234
Substituting in the values we know, we get:
(16 * RM5) + (28 * P_F) = RM234
Solving for P_F, we find:
P_F = (RM234 - (16 * RM5)) / 28
P_F = (RM234 - RM80) / 28
P_F = RM154 / 28
P_F = RM5.50
Therefore, the unit price of the souvenirs for female teachers is RM5.50.
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The value of y varies jointly with the values of x and z. When and , the value of y is. What is the value of y when and ?.
Answers
The value of y when x = 4, z = 6 is 24.
The equation for the relationship between y, x and z is y = xz.
Given that x = 2 and z = 3, we have y = 2 * 3 = 6.
Therefore, when x = 4 and z = 6, y = 4 * 6 = 24.
The relationship between y, x and z can be expressed as y = xz, which means that the value of y is proportional to the values of x and z. When the values of x and z are given, we can calculate the value of y based on this equation. For example, when x = 2 and z = 3, the value of y is 2 * 3 = 6. Similarly, when x = 4 and z = 6, the value of y is 4 * 6 = 24. In general, when the values of x and z are given, the value of y can be determined by multiplying the values of x and z. Therefore, when x = 4 and z = 6, the value of y is 24.
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Determine if the given equations are parallel, perpendicular or neither.
Equation 1: y = 8
Equation 2: x = −1
Answers
well, since one is a horizontal line and the other is a vertical line, Check the picture below.
How do you draw y 3 on a graph?
Answers
We draw y=3 on a graph is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,3)
What is a straight line?An unending, one-dimensional figure with no width is a straight line. It consists of an infinite number of points connected on either side of a point. There is no curvature in a straight line. It might be angled, vertical, or horizontal. Any angle we draw between any two locations along a straight line will always be a 180-degree angle. By comprehending the equations of straight lines in various formats and learning how to solve questions based on straight lines, we will explore the universe of straight lines.
So that, we draw y=3 on a graph is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,3) as shown in attached diagram.
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The local hardware store is having a 15% off sale on lawnmowers this weekend X represents the original price of a lawn mower which answer Choice below shows two different Expressions that cold be used to find the price of any lawnmower pre-tax this weekend?
Answers
Answer:
X - X * 0.15 = 0.85X
X * 0.85 = X - X * 0.15
Both of these expressions can be used to find the price of any lawnmower pre-tax this weekend. The first expression calculates the price by subtracting 15% of the original price from the original price, and the second expression calculates the price by multiplying the original price by 85%.
A highlight table is used to _____.
Select an answer:
visualize the relative proportion of values in a table
emphasize the sort order of table values
hide values in a table that are equal to zero
colorize text based on a predefined color key
Answers
A highlight table is used to visualize the relative proportion of values in a table.
It is a way to present data in a graphical format that makes it easier to understand and compare the relative size of different categories.
It can be used to create a heatmap-like visualization that uses different colors or shades to indicate the relative frequency of values in a table. Highlight tables are useful for quickly identifying patterns and trends in large datasets, and for comparing the relative size of different categories of data.
They can also be used to compare data over time, or to compare data from different sources. Highlight tables can be created using various data visualization tools, such as spreadsheet software, data visualization libraries, or specialized data visualization software.
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I need that answer right nowwwwww
Answers
Answer: the answer is 4 i think
Step-by-step explanation:
Answer:
[tex] {20}^{2} - {16}^{2} = 144 \\ \sqrt{144} = 12[/tex]
If you have problems in mathematics you can take my number and send me your questions if you want
q20 ANSWER FOR 20 POINTS
Answers
Answer:2
Step-by-step explanation:
Solve and work on how you solved it please
Answers
The distance from City Hall to 2nd Street along Cedar Road is 5.4 miles
How to calculate the distance from City Hall to 2nd Street along Cedar Road?
The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.
From City Hall to 1st St. form a triangle. Also, City Hall to 2nd St. form a triangle.
We can use the ratio of the distances along Aspen road (scale factor) of the triangles to find the required distance. That is:
scale factor = (2.8 + 3.5)/2.8 = 6.3/2.8 = 2.25
Let the distance from City Hall to 1st St. be x. Thus:
scale factor = (x + 3.0)/x
2.25 = (x + 3.0)/x
2.25x = x + 3.0
2.25x -x = 3.0
1.25x = 3.0
x = 3.0/1.25
x = 2.4 miles
distance from City Hall to 2nd Street along Cedar Road = x + 3.0
distance from City Hall to 2nd Street along Cedar Road = 2.4 + 3.0 = 5.4 miles
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A car travels 2.625 miles in 3.5 minutes at a constant speed. how far did the car travel in 5 minutes?
Answers
The car travels 3.75 miles in 5 minutes
GIVEN-
2.626 Miles in 3.5 mins
TO FIND-
Distance in 5mins
STEPS-
In 3.5 minutes it travels 2.625 miles
To find out how much it travels in only one minute, we divide 2.625 miles by 3.5 minutes
2.625/3.5 = 0.75 miles/minute
∵In m mins it traveled 0.75×m miles
since,distance d = 0.75 x m
∴In 5 mins it traveled 0.75x5 miles
=3.75miles
The car traveled 3.75 miles in 5 minutes
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CJ went to the market and bought 1.5 pounds of potatoes for dinner. He bought 2.5 times as many pounds of green beans. How many pounds of green beans did he buy at the market?
Answers
The pounds of green beans that CJ bought at the market will be 3.75 pounds.
How to illustrate the expression?In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, CJ went to the market and bought 1.5 pounds of potatoes for dinner. He bought 2.5 times as many pounds of green beans.
Therefore, the pounds of green beans that he bought at the market will be:
= 1.5 × 2.5
= 3.75 pounds.
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What is the result when the number 14 is decreased by 2%?
Answers
Answer:
Step-by-step explanation:
14 - (2% × 14) =
14 - 2% × 14 =
(1 - 2%) × 14 =
(100% - 2%) × 14 =
98% × 14 =
98 ÷ 100 × 14 =
98 × 14 ÷ 100 =
1,372 ÷ 100 =
Answer : 13.72
Answer:
Step-by-step explanation:
Find out the difference between the numbers, Decrease = Old value - New value. Step 2: Divide this 'decrease' by the old value and multiply it by 100. This makes the percent decrease in the formula , Percent Decrease = (Old Value - New Value) / Old Value] × 100]
11. (6 points)
Reasoning Complete the following proof by providing
the reason for each statement.
Giving 20 points
Answers
The triangles ΔWXP and ΔZYP are congruent with each other by SAS postulates. Then angle ∠3 is equal to angle ∠4 which is ∠3 = ∠4.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
It is given that ∠1 = ∠2 and WX = YZ
XP = YP (Side opposite to equal angles)
Then the triangles ΔWXP and ΔZYP are congruent with each other by SAS postulates.
The corresponding sides of the congruent triangles are equal. Then we have
WP = ZP
Then the corresponding exterior angles of the congruent triangles are also equal. Then we have
∠3 = ∠4
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The lines y = 5x -3 and y = ax +5 intersect when x = 13. What is the value of a?
Answers
Answer:
a= [tex]\frac{57}{13}[/tex]
Step-by-step explanation:
Find the value of y by subbing in x
y = 5x-3
y = 5(13) - 3
y = 62
Sub x and y into the 2nd equation, Solve for a
62 = a (13) + 5
62 = 13a + 5
57 = 13a
a= [tex]\frac{57}{13}[/tex]
If the basin is completely filled with water, how much water will it hold? round the answer to the nearest tenth of a foot. Ft3.
Answers
The amount of water that a basin holds depends on the size and shape of the basin.
The size and shape of a basin affects how much water it holds because it affects the surface area and volume of the basin. A basin with a larger surface area can hold more water than a basin with a smaller surface area. Similarly, a basin with a larger volume can hold more water than a basin with a smaller volume. For example, a shallow basin with a large surface area may be able to hold more water than a deep basin with a small surface area. Therefore, the size and shape of the basin will determine how much water it can hold.
The volume of a basin can be calculated by multiplying its length, width, and depth. For example, if a basin is 2 feet long by 1 foot wide by 1 foot deep, it would hold 2 cubic feet of water (2 x 1 x 1 = 2). Therefore, if the basin is completely filled with water, the answer would depend on its size and shape; it would need to be measured in order to calculate the exact amount of water it holds.
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1) Solve for d.
d+ 8 = -d - 10
-
d=
Answers
The value of d is -9.We can find by both sides solving for d.
What is subtraction and example?Subtraction means you are taking something away from a group or number of things. When you subtract what is left in the group becomes less. An example of a subtraction problem is the following: 5 - 3 = 2.
How do you solve for both sides?First we add and subtract same terms to get the variables on one side and the constants on the other.Then multiply or divide to isolate the variable.In the last solve for given variables.You must perform the same exact operation to each side of the equation.
Now we have
d+8=-d-10
d+d = -10-8
2d= -18
d= -9
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3. A music store sells a guitar for $45. If the local sales tax is 6%, what is the total cost of the guitar, including tax? Do NOT use a dollar sign in your
Answers
Answer:
£42.30
Step-by-step explanation:
6% of £45 = 2.7
£45-£2.70=£42.30
When you say don't use the dollar sign do you mean I should convert from dollars to pounds?
What is the measure of angle rst? 15° 75° 105° 165°
Answers
Answer:
The mesure of angle rst is 105
Answer:
105
Step-by-step explanation:
start by solving for x and then use what you know about the shape and it side to angle ratio
In the absence of limiting factors, a population's growth follows a(n) _____ model.
a. geometric
b. exponential
c. logistic
d. mathematical
e. hypergeometric
Answers
Answer:
b- exponential
Step-by-step explanation:
right
rs.7500 for 1 year at 16% per annum compound at half yearly.
Answers
The sum or the compound interest were Rs. 10,089 & Rs. 2589, respectively, according to the supplied statement.
How is per annum calculated?Per year, as used in contracts, is used to describe ongoing duties, or those that take place continuously during the course of an agreement. For instance, if a customer pays 3% interest on a loan annually, it indicates that you will have to pay 3% more of the loan's principle each year until the deal is through.
Given : Initial principle amount (P) = Rs. 7500
Rate of interest (R) = 16% per annum
To find : Compound interest (C.I.) = ?
Solution :
It is given that Initial principle amount (P) = Rs. 7500
Rate of interest (R) = 16% per annum
Time (t) = 1 year = 2 ( ∵ Half Yearly)
We know the formula for Compound Interest,
Compound Interest (A) = [tex]P\left(1+\frac{R}{100}\right)^{n t}[/tex]
[tex]\begin{aligned}& =7500\left(1+\frac{16}{100}\right)^2 \\& =7500\left(\frac{100+16}{100}\right)^2 \\& =7500\left(\frac{116}{100}\right)^2\end{aligned}[/tex]
= 7500 * 1.345
= Rs. 10,089
Now, Compound interest = A - P
= 10,089 - 7500
= Rs. 2589
∴ Final amount = Rs. 10,089
Compound Interest = Rs. 2589
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The complete question is-
Calculate the amount and the compound interest on Rs. 7500 for 1 year at 16% p.a compounded half yearly
QUICK PLEASE HELP!
A function is graphed.
On which interval is the function increasing and linear?
Answers
Option B x = -2 to x = 1 in this interval the function is increasing and linear
What does a function show as increasing and decreasing?
If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.
To determine if a function is increasing or decreasing on an interval, we need to know the sign of its first derivative on that interval. To determine if a function is linear, we need to know if the function is of degree one.
A function that is linear is of degree one and the graph of a linear function is a straight line, where the slope of the line is the coefficient of x.
To determine if a function is linear and increasing or decreasing on an interval, we need to determine the sign of the first derivative of the function on that interval, if the first derivative is positive, the function is increasing, if it is negative, the function is decreasing.
Additionally, it is also important to consider the domain of the function, to ensure the function is defined on that interval.
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a 1.00 l solution saturated at 25∘c with lead(ii) iodide contains 0.54 g of pbi2.
Answers
The Ksp of the lead II iodide is 6.4 * 10^-9.
What is the solubility product?We know that the solubility product has to do with the amount of the solute that we can be able to find that has dissolve in the saturated solution form the data that we have from the question that is given.
Now we know that;
Number of moles of the solute = mass/ molar mass
= 0.54 g/461 g/mol
= 1.17 * 10^-3 moles
Molarity = 1.17 * 10^-3 moles/ 1 L
= 1.17 * 10^-3 M
Then Ksp = [x] [2x]^2
Ksp = 4x^3
Ksp = 4( 1.17 * 10^-3 )^3
Ksp = 6.4 * 10^-9
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The mean value of land and buildings per acre from a sample of farms is $1700, with a standard deviation of $200.
The data set has a bell-shaped distribution. Assume the number of farms in the sample is 71.
(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between
$1300 and $2100.
___farms (Round to the nearest whole number as needed.)
Answers
Answer:
The empirical rule states that for a bell-shaped distribution, approximately 68% of the data will fall within one standard deviation of the mean, approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.
In this case, the mean is $1700 and the standard deviation is $200.
So, one standard deviation of the mean is 1700+200= $1900 and 1700-200 = $1500.
Therefore, according to the empirical rule, approximately 68% of the farms will have land and building values per acre between $1500 and $1900.
To estimate the number of farms that fall within this range, we can multiply the total number of farms (71) by 0.68.
(71)*(0.68) = 48.68 or about 49 farms
So, according to the empirical rule, approximately 49 farms will have land and building values per acre between $1300 and $2100.
