Answer:
1cm
Step-by-step explanation:
from the scale we know that
1cm on the map is equal to 300cms on the ground
Below I have made a table and used the unitary method.
Distance on Map Distance on ground
1cm 300cm
let width be = x width = 3m = 300cm
hence
width = ( 1 ×300)/ 300 = 1cm
Hope this helps
Do this pls 35 points
Answer:
x = 68
Step-by-step explanation:
If you look at the triangle properly, it is a isosceles triangle where two legs are equal to each other.
The answer for x will be:
56 + 56 + x =180
112 + x = 180
x = 68
Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?
Emily and Elijah go out to eat for lunch
Part B
Part A
If Emily and Elijah add a 15% tip to the bill
after tax, what does their lunch cost in total?
If their food and beverages cost $25.30 and
there is a 6% meals tax, how much is the bill?
Answer:
$30.48
Step-by-step explanation:
Meals tax = 25.30 x 1.06
= 26.50
Tip = 1.15 x 26.50
= 30.475
after rounding = $30.48
The meal cost $30.48 in total.
a uniform continuous distribution has a maximum of 14 and a minimum of 2. samples of size 36 are drawn from the distribution. what is the variance of the sample means?
The variance of the sample means that is found in the sample distribution that we have here is 0.3333
What is variance?This is the measure of dispersion that is used to show the spread of the data that is contained in a data set
The formula that we are to use here is given as
b² - a² / b - a
we have to put the values in this question
(14 - 2)² / 14 - 2
= 144 / 12
= 12
From here we would have to solve for the variance.
The variance = 12 / 35
= 0.3333
Hence the variance that we have in the question is equal to 0.3333
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what is the value of x in 12 ( x + 10 ) = 24
also explain
Answer: x = -8
Step-by-step explanation:
12 ( x + 10 ) = 24
First we divide the two sides of the exercise by 12.
\(\boldsymbol{\sf{x+10=\dfrac{24}{12} }}\)
We divide 24 by 12..
x + 10 = 2
Subtract 10 from both sides.
x = 2 - 10
Subtract 10 from 2 to get. Since the number 10 is greater than 2, the result will be negative.
x = -8
Answer:
\( \sf \: x = - 8\)
Step-by-step explanation:
Given equation,
→ 12(x + 10) = 24
Now the value of x will be,
→ 12(x + 10) = 24
→ 12(x) + 12(10) = 24
→ 12x + 120 = 24
→ 12x = 24 - 120
→ 12x = -96
→ x = -96 ÷ 12
→ [ x = -8 ]
Hence, the value of x is -8.
Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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If the perimeter of a rectangle is 24 feet and on eof the sides has a lenght of x feet then the area of the rectangle is
If the perimeter of a rectangle is 24 feet and one of the sides has a length of x feet, the area of the rectangle is A = x (12 - x).
Let's consider a rectangle with one side measuring x feet. The perimeter of a rectangle is given by the formula
P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.
In this case, since one of the sides has a length of x, we can substitute the values in the formula as follows:
24 = 2(x + w)
Simplifying the equation, we have
12 = x + w
To find the area of the rectangle, we use the formula A = lw, where A represents the area, l represents the length, and w represents the width. Since we know that one of the sides has a length of x, we can substitute x for the length, resulting in
A = xw
To determine the value of the width, we can rearrange the equation
12 = x + w to express w in terms of x, which gives w = 12 - x.
Substituting this value into the area formula, we have
A = x(12 - x)
This expression represents the area of the rectangle in terms of x.
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the current age (in years) of 400 clerical employees at an insurance claims processing center is normally distributed with mean 38 and sd 6. determine whether the following statement is true or false. if you believe that the statement is false, briefly explain why you think it is false.
The statement is: B. False. The center would be expected to attract about 72 employees.
To determine whether the statement is true or false, we need to consider the given information about the distribution of ages among clerical employees.
The statement claims that a training program for employees under the age of 30 at the center would be expected to attract about 36 employees.
Since the age of the clerical employees follows a normal distribution with a mean of 38 and a standard deviation of 6, we can use the properties of the normal distribution to evaluate the statement.
To calculate the number of employees under the age of 30, we need to find the proportion of employees within that age range. We can then multiply this proportion by the total number of employees (400) to estimate the number of employees under 30.
Using a standard normal distribution table or a calculator, we can find the z-score corresponding to an age of 30, given a mean of 38 and a standard deviation of 6.
z = (x - μ) / σ
z = (30 - 38) / 6
z = -1.33
Looking up the corresponding area under the standard normal curve for z = -1.33, we find that the proportion of employees under the age of 30 is approximately 0.0918.
To estimate the number of employees under 30, we multiply this proportion by the total number of employees:
Number of employees under 30 = 0.0918 * 400 ≈ 36.72
The estimated number of employees under 30 is approximately 36.72.
Therefore, the statement is: B. False. The center would be expected to attract about 72 employees.
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The current age (in years) of 400 clerical employees at an insurance claims processing center is normally distributed with mean 38 and SD 6. Determine whether the statement below is true or false. If you believe that the statement is false, briefly explain why you think it is false.
A training program for employees under the age of 30 at the center would be expected to attract about 36 employees.
Choose the correct answer below.
A. False. The center would be expected to attract about 165 employees.
B. False. The center would be expected to attract about 72 employees.
C. True.
D. False. The center would be expected to attract about 148 employees.
Please find the limit. Show work and explain in detail. Thank you!
sin e 37. Lim 0-0 sin 20
The expression sin(e^37) does not have a well-defined limit as x approaches 0 from the left side since the argument e^37 is not an angle and is a constant.
To find the limit of the function sin(e^37) as x approaches 0 from the left side, we need to evaluate the limit and analyze the behavior of the function near 0.
The expression sin(e^37) represents the sine of a very large number, approximately equal to 5.32048241 × 10^16. The sine function oscillates between -1 and 1 as the input increases, but it does so in a periodic manner.
As x approaches 0 from the left side (x < 0), the function sin(e^37x) will oscillate rapidly between -1 and 1. However, since the argument of the sine function (e^37) is an extremely large constant, the oscillations will occur at a much higher frequency.
To calculate the limit, we can directly evaluate the function at x = 0 from the left side.
sin(e^37 * 0) = sin(0) = 0.
Therefore, the limit of sin(e^37) as x approaches 0 from the left side is equal to 0.
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Help please fast geometry surface area!
Answer:
SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2
A jar contains 125 marbles. Given 2% of the marbles are green, 38% of the marbles are blue, and the rest are red, how many red marbles are in the jar?
Answer:
there are 5 red marbles in the jar
Step-by-step explanation:
I think this is the answer
If x > 0 and y = 0, where is the point (x, y) located?
Answer:
if x>0 and y=0 the point is located on the x-axis
Answer:
x-axis on the right side
Step-by-step explanation:
the point (x,y) located on the x-axis
example x=1, y=0
Sneak preview is a members only video rental store there is a 12.00$ initiation fee and a 5.00$ per video rental fee write a function to show the total cost, C, of renting m number of movies from this store
Answer:
12+5m=C
Step-by-step explanation:
This is the equation because 12 represents the original price whilst 5m represents the price of a video for example if you rent 2 videos 12+5(2)=22
24.7% of the products in the local shop are specialty soaps. 76% of those soaps are made with fresh herbs. if there are 350 bars of specialty soap in the shop, approximately how many of them are not made with fresh herbs? round your answer up to nearest whole number
we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs? well, just 76% of those 350
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)
In the figure, m/3= (3x+15)° and mZ8= (x+100)°. Find the value of x. Then calculate the measure of Z4.
Value of x = 42.5 ° and measure of angle 4 = 37.5 ° .
measure of angle 3 = measure of angle 8
( 3 x + 15 ) ° = ( x + 100 ) °
2 x = 85
x = 42.5 °
measure of angle 3 + measure of angle 4 = 180 °
measure of angle 3 = ( 3 x + 15 ) °
= ( 3 * 42.5 ) + 15
= 142.5 °
Hence , measure of angle 4 = 180 - 142.5 ° = 37.5 ° .
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Please helppppppp!!!!!!!!
The maximum value of P = 9x + 8y subject to the given constraints is 64, and it occurs when x = 0 and y = 8.
To find the maximum value of P = 9x + 8y subject to the given constraints, we need to analyze the feasible region determined by the inequalities.
First, let's find the y-intercept of the first inequality: 8x + 6y <= 48.
To find the y-intercept, we set x = 0 and solve for y:
8(0) + 6y ≤ 48
6y ≤ 48
y ≤ 48/6
y ≤ 8
Therefore, the y-intercept of the first inequality is 8.
Next, let's graph the feasible region determined by the inequalities:
8x + 6y ≤ 48
7x + 7y ≤ 49
x ≥ 0
y ≥ 0
The feasible region is a quadrilateral bounded by the x-axis, y-axis, and the lines 8x + 6y = 48 and 7x + 7y = 49.
The region lies in the first quadrant and has vertices at (0, 0), (0, 8), (6, 1), and (7, 0).
To find the maximum value of P = 9x + 8y within this region, we evaluate P at each vertex and determine the maximum value.
P(0, 0) = 9(0) + 8(0) = 0
P(0, 8) = 9(0) + 8(8) = 64
P(6, 1) = 9(6) + 8(1) = 54 + 8 = 62
P(7, 0) = 9(7) + 8(0) = 63 + 0 = 63
Therefore, the maximum value of P = 9x + 8y within the feasible region is 64, which occurs at the vertex (0, 8).
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For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is given by v = 0.85 sin pi t/3 where t is the time (in seconds). (Inhalation occurs when > 0, and exhalation occurs when v < 0.) Hind the lime for one full respiratory cycle. Find the number of cycles per minute. Sketch the graph of the velocity function.
The velocity of airflow during a respiratory cycle is given by v = 0.85 sin(pi t/3) ,t- time in s. One full respiratory cycle takes 6 s, and there are 10 cycles per min. The graph of the velocity function is a sinusoidal wave with amplitude 0.85 and period 6 s.
The given function for velocity during a respiratory cycle is v = 0.85 sin(pi t/3). The velocity is positive during inhalation and negative during exhalation. To find the time for one full respiratory cycle, we need to solve for the values of t that make v=0:
0 = 0.85 sin(pi t/3)
sin(pi t/3) = 0
pi t/3 = n pi
t = 3n, where n is an integer
Thus, one full respiratory cycle takes 6 seconds (when n=2). To find the number of cycles per minute, we can use the formula:
cycles per minute = 60 / time per cycle
Substituting the value of time per cycle, we get:
cycles per minute = 60 / 6 = 10
Therefore, there are 10 cycles per minute.
The graph of the velocity function is a sinusoidal wave with amplitude 0.85 and period 6 seconds. The function starts at 0, reaches a maximum value of 0.85 at t=3 seconds, goes through 0 again at t=6 seconds, reaches a minimum value of -0.85 at t=9 seconds, and returns to 0 at t=12 seconds. The graph repeats itself every 6 seconds, which is the period of the function. Thus, the graph is a sinusoidal wave that oscillates between positive and negative values with a frequency of 1/6 Hz (or 10 cycles per minute).
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Polygon ABCD is translated to polygon A'B'C'D point A is located at (1,5) and point A' is located at (-2,1) what is the distance from B to B'
Answer:
(-3,-4) is the answer for the question
I just need to double check my math for part A. I have no idea
to do part B please help.
PROBLEMS. Write your answer in the space provided or on a separate sheet of paper. Show all work, and don't forget units! Partial credit will be given for showing a Free Body Diagram where appropriate
The total charge on the rod is approximately 12.6424nC, or 2.0nC considering the correct significant figures.
To find the total charge on the rod, we need to integrate the charge density function over the length of the rod. Given that the charge density is non-uniform and varies with position along the rod, we can express the charge density as a function of x, where x is the distance from the left end of the rod.
The charge density function is given as λ(x) = (2.0nC/cm) * e^(-x/10).
To find the total charge, we integrate the charge density function from x = 0 to x = 10 cm:
Q = ∫(0 to 10) λ(x) dx.
Substituting the given charge density function into the integral, we have:
Q = ∫(0 to 10) (2.0nC/cm) * e^(-x/10) dx.
Integrating this expression gives us:
Q = -20nC * [e^(-x/10)] evaluated from 0 to 10.
Evaluating the expression at x = 10 and subtracting the value at x = 0, we get:
Q = -20nC * (e^(-10/10) - e^(0/10)).
Simplifying further:
Q = -20nC * (e^(-1) - 1).
Using the value of e (approximately 2.71828), we can calculate:
Q = -20nC * (2.71828^(-1) - 1).
Q ≈ -20nC * (0.36788 - 1).
Q ≈ -20nC * (-0.63212).
Q ≈ 12.6424nC.
Taking the absolute value of the charge (since charge cannot be negative), we find:
Q ≈ |12.6424nC|.
Therefore, the total charge on the rod is approximately 12.6424nC, or 2.0nC considering the correct significant figures.
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PROBLEMS. Write your answer in the space provided or on a separate sheet of paper. Show all work, and don't forget units! Partial credit will be given for showing a Free Body Diagram where appropriate. 11) A 10 cm long rod has a non-uniform charge density given by λ(x)=(2.0nC/cm)e^−x /10, where x is measured in centimeters from the left end of the rod. The left end is placed at the origin, and the rod lays along the positive x axis from 0 to 10 cm. a) What is the total charge on the rod?
Question 2 of 6 View Policies Current Attempt in Progress Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.
Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)
Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14
Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.
Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w
Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
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A baseball enthusiast carried out a simple linear regression to investigate whether there is a linear relationship between the number of runs scored by a player and the number of times the player was intentionally walked. Computer output from the regression analysis is shown.
Let β represent the slope of the population regression line used to predict the number of runs scored from the number of intentional walks in the population of baseball players. A t-test for a slope of a regression line was conducted for the following hypotheses.
H0:β=0
Ha:β≠0
What is the appropriate test statistic for the test?
t = 16/2.073
t = 16/0.037
t = 0.50/0.037
t = 0.50/2.073
t = 0.50/0.63
The appropriate test statistic for the test is t = 16/0.037.
The appropriate test statistic for the test is obtained by dividing the estimated slope of the regression line (in this case, 16) by the standard error of the slope (0.037). The test statistic measures how many standard deviations the estimated slope is away from the hypothesized value of 0. By calculating the ratio of 16 divided by 0.037, we obtain the t-value, which is used to assess the significance of the estimated slope in relation to the null hypothesis.
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Simon eats 3/8 of a pizza. Eira and Martin eat an equal share of the pizza that is left. How much pizza do they each eat?
The amount of pizza ate by Simon, Eira and Martin is
Simon = 3/8 pizzaEira = 5/16 pizzaMartin = 5/16 pizzaHow to find the amount of pizza each ateSimon eats 3/8 of a pizza = 3/8
The amount of pizza left after Simon ate
= 1 - 3/8
= 5/8
Eira and Martin eat an equal share of the pizza that is left
that is the amount left was shared into 2
= 5/8 ÷ 2
= 5/16 each for both of them
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A pizza restaurant allows you to choose any 3 of 8 toppings. How many
different ways are there to choose the toppings?
A. 56
B. 24
C. 40,320
D. 336
Answer:
A. 56
Step-by-step explanation:
3 out of 8 toppings:
= 8!/5!*3!
=8*7*6/3*2*1
=8*7
=56
I hope this helps...
Answer:
A. 56
Step-by-step explanation:
Write an equation using fractorials (2!, 3!, 4! etc)
8! ÷ 5! x 3!
8!, 5!, and 3! mean 8, 5, and 3 fractorials.
We need to multiply backwards in order to solve the fractorials in the equation above this line:
8 x 7 x 6 ÷ 3 x 2 x 1 = 224
Finally, divide 224 by 4
224 ÷ 4 = 56
so the answer is 56.
Hope this helps! Have a good day! (PLS GIVE BRAINLIEST)
What is the slope of a line passing through (4, 3) and (3,1) ?
Answer:
\(m=2\)
Step-by-step explanation:
what is 26*46-14
\(26 \times 46 - 14 = \)
Answer: 1182
Step-by-step explanation:
If p and q vary inversely and p is 29 when q is 25, determine q when p is equal to 5.
Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:
p * q = k
where k is the constant of variation.
Given that p is 29 when q is 25, we can substitute these values into the equation:
29 * 25 = k
725 = k
Now, let's determine the value of q when p is equal to 5:
p * q = k
5 * q = 725
Dividing both sides of the equation by 5:
q = 725 / 5
q = 145
Therefore, when p is equal to 5, q is equal to 145.
Step-by-step explanation:
Answer:p1q1=p2q2
q1=25,p1=29;
p2=5,q2=?;
q2=p1q1/p2;
q2=25*29/5;
q2=29*5;
q2=145.
Step-by-step explanation:
Write the recursive formula for 5, 15, 30, 50...........
A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.
If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term \((n + 1)\) by tossing the recursive formula to \(n + 1 = a \ n + d\)
We have then:
\(5, 15, 30, 50\)
\(an = (\dfrac{5}{2} ) \times (n) \times (n + 1)\)
Answer:
the recursive formula for 5, 15, 30, 50, is:
an = (5/2) x (n) x (n + 1)
(a) give an explicit example of a real number b>0 such that 1∫0 1/x^b dx is a convergent improper integral
The term 2/0 is undefined as it represents division by zero. Therefore, for b = 1.5, the integral ∫(0 to 1) 1/x^1.5 dx is not well-defined, and it does not converge. In summary, it is not possible to find a real number b > 0 such that the integral ∫(0 to 1) 1/x^b dx converges.
To find a real number b > 0 such that the integral ∫(0 to 1) 1/x^b dx converges, we need to ensure that the integrand function is integrable over the given interval.
Let's consider b = 2 as an example. In this case, the integral becomes:
∫(0 to 1) 1/x^2 dx
To evaluate this integral, we can use the antiderivative of 1/x^2, which is -1/x. Applying the Fundamental Theorem of Calculus, we have:
∫(0 to 1) 1/x^2 dx = [-1/x] evaluated from 0 to 1
= [-1/1 - (-1/0)]
However, the term -1/0 is undefined as it represents division by zero. Therefore, for b = 2, the integral ∫(0 to 1) 1/x^2 dx is not well-defined, and hence, it does not converge.
To find a suitable value of b such that the integral converges, we need to choose a value where the function 1/x^b remains integrable over the interval (0, 1). In other words, we need b > 1.
For example, let's choose b = 1.5. In this case, the integral becomes:
∫(0 to 1) 1/x^1.5 dx
We can evaluate this integral using the antiderivative of 1/x^1.5, which is 2/x^0.5. Applying the Fundamental Theorem of Calculus, we have:
∫(0 to 1) 1/x^1.5 dx = [2/x^0.5] evaluated from 0 to 1
= [2/1 - 2/0]
Again, the term 2/0 is undefined as it represents division by zero. Therefore, for b = 1.5, the integral ∫(0 to 1) 1/x^1.5 dx is not well-defined, and it does not converge.
In summary, it is not possible to find a real number b > 0 such that the integral ∫(0 to 1) 1/x^b dx converges.
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____ 13. Use Scenario 3-2. If heart disease death rate were expressed as deaths per 1,000 people instead of as deaths
per 100,000 people, how would the correlation r between wine consumption and heart disease death rate
r would not change
The correlation between two variables is an important measure that helps us understand the relationship between them. In Scenario 3-2, if the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would not change the correlation (r) between wine consumption and heart disease death rate.
The correlation coefficient (r) measures the strength and direction of the relationship between two variables. If the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would change the units in which the death rate is expressed, but it would not change the underlying relationship between wine consumption and heart disease death rate.
In other words, regardless of the units in which the death rate is expressed, the correlation between wine consumption and heart disease death rate would remain the same. This is because the correlation measures the relationship between two variables, not the units in which they are expressed. It is important to note that expressing the death rate in different units may make it easier or more difficult to understand the relationship between two variables, but it does not change the underlying correlation.
In conclusion, the correlation (r) between wine consumption and heart disease death rate would not change if the death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people.
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If L | | m and m<8 = 109°, what is m<5
Answer:
m∡5 = 71°
Step-by-step explanation:
m∡8 = m∡6
m∡6 + m∡5 = 180
180 - m∡6 = m∡5
180 - 109 = 71
Answer:
the measurement of angle 5 is 71
Step-by-step explanation:
m∡8 = m∡6
M∡6 + m∡5 = 180
180 - m∡6 = m∡5
180 - 109 = 71
Hope this helps :)