The revenue function is given as R(x) = 56x − 0.4x². The profit function is given as P(x) = -0.4x² + 48x - 260.
Step 1 of 2: To find the revenue function, we will have to multiply the demand and the number of units of the item. The number of units is represented by x, and the demand function is given by p = D(x) = 56 − 0.4x.The revenue function can be defined as follows: Revenue = Price × Quantity. However, the price is equivalent to the demand function p = 56 − 0.4x; this is because the price that customers are willing to pay is determined by the demand. Also, the quantity produced is equivalent to x. Thus, we can replace price and quantity in the revenue function to give: Revenue = Price × Quantity= (56 − 0.4x) × x= 56x − 0.4x². The revenue function is given as R(x) = 56x − 0.4x².
Step 2 of 2Profit is equivalent to revenue less the cost of producing the items. Therefore, we can find the profit function by subtracting the cost function from the revenue function. Profit = Revenue − Cost. Since the revenue function is R(x) = 56x − 0.4x² and the cost function is C(x) = 8x + 260, we can write the profit function as follows: Profit = Revenue − Cost= R(x) − C(x)= (56x − 0.4x²) − (8x + 260)= 56x − 0.4x² − 8x − 260= -0.4x² + 48x - 260Therefore, the profit function is given as P(x) = -0.4x² + 48x - 260.
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Write the number in 2 equivalent forms as a fraction, decimal, or percent.
21%
What is the equivalent decimal?
Answer:
0.21
Step-by-step explanation:
Move the decimal two places to the left.
Find f'( – 1) for f(1) = ln( 4x^2 + 8x + 5). Round to 3 decimal places, if necessary. f'(-1) =
To find f'(-1), we need to take the derivative of f(x) and then evaluate it at x = -1. Using the chain rule, we get: f'(x) = 8x + 8 / (4x^2 + 8x + 5), f'(-1) = 8(-1) + 8 / (4(-1)^2 + 8(-1) + 5), f'(-1) = -8 + 8 / 1, f'(-1) = 0. So, f'(-1) = 0. We don't need to round to 3 decimal places in this case since the answer is an integer.
To find f'(-1) for f(x) = ln(4x^2 + 8x + 5), we first need to find the derivative of the function with respect to x, and then evaluate it at x = -1. Here's the step-by-step process:
1. Identify the function: f(x) = ln(4x^2 + 8x + 5)
2. Differentiate using the chain rule: f'(x) = (1 / (4x^2 + 8x + 5)) * (d(4x^2 + 8x + 5) / dx)
3. Find the derivative of the inner function: d(4x^2 + 8x + 5) / dx = 8x + 8
4. Substitute the derivative of the inner function back into f'(x): f'(x) = (1 / (4x^2 + 8x + 5)) * (8x + 8)
5. Evaluate f'(-1): f'(-1) = (1 / (4(-1)^2 + 8(-1) + 5)) * (8(-1) + 8)
6. Simplify the expression: f'(-1) = (1 / (4 - 8 + 5)) * (-8 + 8)
7. Continue simplifying: f'(-1) = (1 / 1) * 0
8. Final answer: f'(-1) = 0
Since f'(-1) is an integer, there is no need to round to any decimal places f'(-1) = 0.
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answer for brainliest
pic below
correct answers only
in the late 1840s, even though the california indian population had declined greatly, it still was far larger than the californio population. which pair of approximate figures is most accurate for this time period? fifty thousand indians and fifteen thousand californios one hundred thousand indians and seven thousand californios three hundred thousand indians and seven thousand californios one hundred thousand indians and fifteen thousand californios
One hundred thousand Indians and fifteen thousand Californios are the most accurate pair of approximate figures for the late 1840s in California
The indigenous population of California was estimated to be around 100,000 in the late 1840s, while the Californio population, which consisted of Spanish-speaking settlers, was estimated to be around 15,000.
The secularization law lead the Indians to grow crops, herd livestock, and weave clothes, live in the lands to where they migrated. Later the lands under the mission are distributed or sold for less cost to the families and friends of government officers. This mission plan happened in 1840s.
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Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio A (4,- 2),B(9, 8); 2 to 3
Answer:
(7, 4)
Step-by-step explanation:
Using the formula for calculating the midpoint expressed as;
M(X,Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}
X = (ax1+bx2)/a+b
Y = ay1+by2/a+b
Substitute the given coordinate
X = 2(4)+3(9)/2+3
X = 8 + 27/5
X = 35/5
X = 7
Y = 2(-2)+3(8)/2+3
Y = -4+24/5
Y = 20/5
Y = 4
Hence the required coordinates will be at (7, 4)
Below are statements that can be used to prove that the triangles are similar.
On a coordinate plane, right triangles A B C and Z Y X are shown.
1. StartFraction A B Over Z Y EndFraction = StartFraction B C Over Y X EndFraction = 2
2. ∠B and ∠Y are right angles.
3.?
4.?
Which two statements are missing in steps 3 and 4?
∠X ≅ ∠C
△ABC ~ △ZYX by the SAS similarity theorem.
∠B ≅ ∠Y
△ABC ~ △ZYX by the SAS similarity theorem.
StartFraction A C Over X Y EndFraction = 2
△ABC ~ △ZYX by the SSS similarity theorem.
StartFraction Z X Over A C EndFraction = 2
△ABC ~ △ZYX by the SSS similarity theorem.
Answer: ∠B ≅ ∠Y
△ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation: I just got 100% in edge when i took the test! i hope this helps you! -Lettu
Answer:
B
Step-by-step explanation:
EDGE!
PLLLLLLLLLLLEAAAAAASE HEEEEEELP The following function represents an arithmetic sequence.
f(1)=2
f(n+1)=f(n)+4
What is f(10)?
Enter your answer as a number, like this: 42
Answer:
f(10) = 38
Step-by-step explanation:
Notice that this sequence is given in recurrent form, so you need to know the previous term in order to calculate the following one. Then let's get into all the 10 terms needed:
f(1) = 2
f(2) = 2 + 4 = 6
f(3) = 6 + 4 = 10
f(4) = 10 + 4 = 14
f(5) = 14 + 4 = 18
f(6) = 18 + 4 = 22
f(7) = 22 + 4 = 26
f(8) = 26 + 4 = 30
f(9) = 30 + 4 = 34
f(10) = 34 + 4 = 38
confused and this is timed :v
Answer:
C; D; E
Step-by-step explanation:
..................... I'll explain it to u later If u want, since its timed
Define the terms, accuracy, precision, range, span, and repeatability. Give an example for accuracy. Give an example of repeatability.
Let's define the terms accuracy, precision, range, span, and repeatability, along with examples for accuracy and repeatability:
Accuracy:
Accuracy refers to the degree of closeness between a measured or observed value and the true or accepted value. It indicates how well a measurement or result reflects the true value. Accuracy can be affected by systematic errors, such as calibration issues or instrument biases.
Example of accuracy: Suppose a thermometer is designed to measure temperature with an accuracy of ±0.5 degrees Celsius. If the thermometer measures the temperature of a liquid as 25.2 degrees Celsius, the accuracy indicates that the true temperature of the liquid should be within the range of 24.7 to 25.7 degrees Celsius.
Precision:
Precision refers to the degree of consistency or reproducibility of a measurement. It measures how closely individual measurements agree with each other when repeated under the same conditions. Precise measurements have low variability or scatter.
Example of precision: In a laboratory experiment, a researcher measures the weight of a sample multiple times using an analytical balance. If the measurements consistently yield values within a narrow range, such as 9.85 grams, 9.84 grams, and 9.86 grams, the measurements are considered precise.
Range:
Range refers to the difference between the maximum and minimum values of a data set. It provides an indication of the spread or extent of the data. The range is a simple measure of dispersion.
Example of range: In a data set consisting of test scores for a class of students, if the highest score is 95 and the lowest score is 70, the range of the data is 95 - 70 = 25.
Span:
Span refers to the full range or interval of values that can be measured or observed by an instrument or system. It represents the entire spectrum or extent of the measurement scale.
Example of span: In a pressure gauge, if the minimum measurable pressure is 0 psi and the maximum measurable pressure is 100 psi, the span of the gauge is 100 psi.
Repeatability:
Repeatability refers to the ability of a measurement or experiment to yield consistent results when performed multiple times by the same person or using the same equipment and conditions. It indicates the reliability and consistency of a measurement process.
Example of repeatability: A scientist conducts an experiment to measure the boiling point of a substance using the same equipment and following the same procedure five times. If the results obtained, such as 100.2°C, 100.3°C, 100.1°C, 100.2°C, and 100.2°C, are very close to each other, it demonstrates good repeatability.
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Graph y = 3/5 x - 4.
Then, translate it up 5 units.
Write the equation of the resulting line.
Answer:
y=3/5x + 1
Step-by-step explanation:
It says to translate UP 5 units, meaning the constant of -4 is the one being affected. The translation of 5 units is +5 on the graph, so -4+5=1. Everything else should be the same if i'm correct so y=3/5x + 1 is the answer
Find the volume of a sphere whose surface area is 1256 sq.cm (Take π = 3.14)
Curved surface area of a sphere =1256 cm
2
We know that, Curved surface area of a spehre =4πr
2
⟹1256=4×3.14×r
2
⟹r
2
=
4×3.14
1256
⟹r
2
=100
∴r=10 cm
Hence, the answer is 10 cm.
4186.66666666 volume of sphere
Answer:
\(\large{\underline{\underline{\textsf{\textbf{Diagram : -}}}}}\)
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf 10\ cm}\end{picture}\)
\(\begin{gathered}\end{gathered}\)
\(\large{\underline{\underline{\textsf{\textbf{Given : -}}}}}\)
↠ Surface area of sphere = 1256 cm².
\(\begin{gathered}\end{gathered}\)
\(\large{\underline{\underline{\textsf{\textbf{To Find : -}}}}}\)
↠ Volume of sphere
\(\begin{gathered}\end{gathered}\)
\(\large{\underline{\underline{\textsf{\textbf{Using Formulas : -}}}}}\)
\(\small{\bigstar{\underline{\boxed{\sf{\pink{Surface \: area \: of \: sphere = 4\pi{r}^{2}}}}}}}\)
\(\small{\bigstar{\underline{\boxed{\sf{\pink{Volume \: of \: sphere = \dfrac{4}{3}\pi{r}^{3}}}}}}}\)
\(\small\bigstar\) Where :-
↠ π = 3.14
↠ r = radius
\(\begin{gathered}\end{gathered}\)
\(\large{\underline{\underline{\textsf{\textbf{Solution : -}}}}}\)
\(\small\bigstar\) Firstly, finding the radius of sphere by substituting the values in the formula :-
\(\small{\dashrightarrow{\sf{Surface \: area \: of \: sphere = 4\pi{r}^{2}}}}\)
\(\small{\dashrightarrow{\sf{1256 = 4 \times 3.14\times {r}^{2}}}}\)
\(\small{\dashrightarrow{\sf{1256= 12.56\times {r}^{2}}}}\)
\(\small{\dashrightarrow{\sf{{(Radius)}^{2} = \dfrac{1256}{12.56}}}}\)
\(\small{\dashrightarrow{\sf{{(Radius)}^{2} = \dfrac{1256 \times 100}{12.56 \times 100}}}}\)
\(\small{\dashrightarrow{\sf{{(Radius)}^{2} = \dfrac{125600}{1256}}}}\)
\(\small{\dashrightarrow{\sf{{(Radius)}^{2} = \cancel{\dfrac{125600}{1256}}}}}\)
\(\small{\dashrightarrow{\sf{{(Radius)}^{2} =100}}}\)
\(\small{\dashrightarrow{\sf{Radius = \sqrt{100} }}}\)
\(\small{\dashrightarrow{\sf{Radius = \sqrt{ 10\times 10}}}}\)
\(\small{\dashrightarrow{\underline{\underline{\sf{Radius=10 \: cm}}}}}\)
\(\normalsize{\bigstar{\underline{\boxed{\sf{\purple{Radius \: of \: sphere =10 \: cm}}}}}}\)
Hence, the radius of sphere is 10 cm.
\(\begin{gathered}\end{gathered}\)
\(\small\bigstar\) Now, finding the volume of sphere by substituting the values in the formula :-
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \dfrac{4}{3}\pi{r}^{3}}}}\)
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times {(10)}^{3}}}}\)
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \dfrac{4 \times 3.14}{3} \times (10 \times 10 \times 10)}}}\)
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \dfrac{12.56}{3} \times 1000}}}\)
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \dfrac{12.56 \times 1000}{3}}}}\)
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \dfrac{12560}{3}}}}\)
\(\small{\dashrightarrow{\sf{Volume \: of \: sphere = \cancel{\dfrac{12560}{3}}}}}\)
\(\small{\dashrightarrow{\underline{\underline{\sf{Volume \: of \: sphere \approx 4186.66 \: {cm}^{3}}}}}}\)
\(\normalsize{\bigstar{\underline{\boxed{\sf {\purple{Volume \: of \: sphere \approx 4186.66 \: {cm}^{3}}}}}}}\)
Hence, the volume of sphere is 4186.66 cm³.
\(\begin{gathered}\end{gathered}\)
Use substitution to write an equivalent quadratic equation. (3x 2)2 7(3x 2) â€"" 8 = 0
Answer: We on da same question i do not know
Step-by-step explanation:
Hello, just checking my work. First right answer will be brainiest
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
0.2 hours
0.4 hours
2.5 hours
5.0 hours
Answer:
0.4
Step-by-step explanation:
how many minutes are in 4 miles
Answer:
I believe it’s C. 2.5
Step-by-step explanation:
For a triangle ABC, which of the following is true ?
A BC^2 - AB^2 = AC^2
B AB – AC = BC
C (AB – AC) > BC
D (AB – AC) < BC
The first option, A BC^2 - AB^2 = AC^2, is true. This is a special case of the Pythagorean Theorem, which states that for a right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In this case, BC^2 - AB^2 = AC^2.
The first option, A BC^2 - AB^2 = AC^2, is true. This special case of the Pythagorean Theorem states that for any right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In other words, BC^2 - AB^2 = AC^2. This theorem has been used for centuries by mathematicians and builders, as it is a reliable way to measure and construct the sides of a triangle. The theorem is also useful in applications such as computer graphics, where it is used to calculate the dimensions of a triangle on a two-dimensional plane. By understanding the principles of the Pythagorean Theorem, one can accurately measure and construct triangles of any size and shape.
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The first option, A BC^2 - AB^2 = AC^2, is true. This is a special case of the Pythagorean Theorem, which states that for a right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In this case, BC^2 - AB^2 = AC^2.
The first option, A BC^2 - AB^2 = AC^2, is true. This special case of the Pythagorean Theorem states that for any right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In other words, BC^2 - AB^2 = AC^2. This theorem has been used for centuries by mathematicians and builders, as it is a reliable way to measure and construct the sides of a triangle. The theorem is also useful in applications such as computer graphics, where it is used to calculate the dimensions of a triangle on a two-dimensional plane. By understanding the principles of the Pythagorean Theorem, one can accurately measure and construct triangles of any size and shape.
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the triple of a number added to its half part is equal to the difference between four times the number and 12. What number is it
Answer:
24
Step-by-step explanation:
You want to know the number such that the triple of the number added to its half part is equal to the difference between four times the number and 12.
TranslationThe given relation can be expressed in math symbols as ...
3n +n/2 = 4n -12
Adding 12 -n/2, we get ...
12 = n/2
24 = n . . . . . multiply by 2
The number is 24.
A class of 24 students has 8 students with black hair. What percent of the students have black hair?
Answer:
33%
Step-by-step explanation:
8/24 = .33333333
Answer:
33.3% of students have black hair.
Step-by-step explanation:
If that is incorrect, 1.92% has black hair.
Answer number 8 and 9 please
Answer:
15%
Step-by-step explanation:
number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%
help please this pretty much the hardest question on my homework.
with working too Pleaseeeee
Answer: its quite easy.
Step-by-step explanation:
Lemme send the answer in comment so I can help you understand alr
when choosing between one-tailed and two-tailed tests, group of answer choices use a two-tailed test only if you have a convincing reason for not predicting a direction. use the one that is most likely to produce significant results. use a one-tailed test only if you have a convincing reason for predicting the direction. always use two-tailed tests.
The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.
The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.
If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.
If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.
This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.
And is more conservative in its estimation of significance.
If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.
This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.
And is more powerful in detecting significant results in that specific direction.
Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.
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Write 0,37 in a fraction
Answer:
37/100
Step-by-step explanation:
Assuming you mean '0.37'
'0.37' is 37 hundredths.
37 would the the numerator and 100 would be the denominator.
\(\frac{37}{100}\)
Hope this helps.
Answer:
37/100
37%
Step-by-step explanation:
To convert 0.37 to fraction, follow these steps:
First write down the decimal number divided by 1 like this:
0.37
1
As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 102 = 100, so that there is no decimal point in the numerator
0.37 × 100
1 × 100
=
37
100
Hope this helps!
for the simple harmonic motion equation d=2 sin(pi/3t) what is the period
For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.
The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.
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Which equation has the same missing number as the given equation?
Answer:
The first one would be the answer!
Step-by-step explanation:
318= 218+100 hope this helps:)
Answer:
The first choice
Step-by-step explanation:
318 - 100 = 218 so
218 + 100 must = 318
the first choice
a highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. the results of a study of 169 fatal accidents were recorded. is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? monthjanfebmaraprmayjunjulaugsepoctnovdec fatal accidents14161114161119231313910 step 1 of 10 : state the null and alternative hypothesis.
Based on the information, it can be inferred that the information in the table is sufficient to determine that the accident rate does vary in the different months of the year because in some months there are fewer cases than in others.
Is there enough evidence to reject the statement about the distribution of fatal accidents between each month?Based on the information in the graph, it can be established that there is sufficient evidence to reject the statement about the distribution of fatal accidents between each month because there is not a constant occurrence of accidents throughout the year, for example, the month with the lowest accident rate is November with 9 cases and the month with the highest accident rate is August with 23 cases. The other months remain in ranges above 10 cases. Therefore, there is sufficient evidence to contradict the statement of the executive department.
What would be the null hypothesis and the alternative hypothesis?According to the above information, the null hypothesis and the alternative hypothesis would be:
Null hypothesis: The accident rate does vary in the different months of the year.Alternative hypothesis: The accident rate varies in the different seasons of the year (autumn, spring, summer, and winter).Learn more about hypotheses in: https://brainly.com/question/18064632
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24 feet in 10 seconds
Answer:Divide your speed in feet per minute by 60
Step-by-step explanation:
Can someone please help me
Answer:
Step-by-step explanation:
the area of a parallelogram is the same as a rectangle, well, uses the same formula. therefore it uses base × height.
for this equation we need to do 7.1 × 11.4
7.1 × 11.4 = 80.94
if you need to round the number to a whole number, it will be 81 because the first decimal digit is the number 9, and any decimal number 5 or up rounds up to the next number :D
good luck :)
-cheesetoasty
What linear inequality is represented by the given graph?
Answer:
y < x - 1
Step-by-step explanation:
First, we need to find the equation to represent the linear line. Since the slope is 1 and the y-intercept is -1, after substituting the values to m and b respectively, we would get y = x - 1. Since the shaded area is below the linear line and the line is dotted, not solid, the correct inequality is y < x - 1.
Write a list comprehension that contains elements with the desired values. Use the name 'i' as the loop variable. Use parentheses around the expression or condition as necessary.
The list comprehension that contains elements with the desired values is [i**2 for i in x]
How to determine the list comprehension codeFrom the question, we have the following parameters that can be used in our computation:
Twice the value of each element in the list variable x.
When the above is represented using loops, we have
for i in range(x)
print(i**2)
When the code segment is converted to list comprehension, we have
[i**2 for i in x]
Hence, the list comprehension code is [i**2 for i in x]
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Complete question
Write a list comprehension that contains elements with the desired values. Use the name 'i' as the loop variable. Use parentheses around the expression or condition as necessary.
Twice the value of each element in the list variable x.
14 inches to 4 feet in ratio simplest form
Answer:
your answer would be 14/48
Step-by-step explanation:
The ratio can be made into a pure number if both units are the same. 4 ft = 48" 14 inches to 4 feet therefore is 14 in/48 in = 7/24; this is a pure number ("dimensionless"). If you kept the two original numbers, the answer might be like a scale factor: 7 inches REPRESENTS 2 ft.
Much love from over here good luck :D
HELP PLEASE I WILL MARK BRAINLIEST
Answer:
M<1 = 131
M<2 = 49
Step-by-step explanation:
1. Alternate interior angles theorem
2. 180-131 = 49
heeeeeeeellllllllllllpppppppppppppp