Answer:
48
Step-by-step explanation:
180-(42 +90) =48, the measure of a right angle is 90, the angle measure of the whole triangle is 180
Answer:
48 degrees
Step-by-step explanation:
Step by step explanation, determine the number of unique triangles that can be made from the following information.
One triangle can be made with the given information.
How many triangles can we make with the given information?Herewe have the triangle LMN, and we know that:
∠L = 31°
LM = 6.9 cm
MN = 3.4cm
So, we know one angle, one of the sides adjacent to the angle, and the side opposite to the angle.
Below you can see a diagram of the triangle, you can see that the missing length is defined by the information that we know (we could use the cosine law and a system of equations to find it). Then, basically, we can see that the lengths of the 3 sides are fixed.
Only one triangle can be made with 3 fixed sides, so that is the answer.
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supplies for 25 favors cost $62.5, how much do supplies for 60 favors cost?
Answer:
Step-by-step explanation:
25 favors ... $62.50
60 favors ... $x = ?
If you would like to know how much do the supplies for 60 favors cost, you can calculate this using the following steps:
25 * x = 60 * 62.50
25 * x = 3750 /25
x = 3750 / 25
x = $150
Result: The supplies for 60 favors cost $150.
An airplane travels 650 miles in 3 hours (with a constant speed). How much time will it take traveling 1,000 miles?
Answer:
5 if you round it, or exact answer is 4.63 hours
Answer:
5 hours ( approxemitly)
Step-by-step explanation:
divide 650 (the miles) by 3 (the hours) to see how much miles it travels per hour....
after that make a T-chart where you see how much hours it takes to reach 1000 miles...
like this :
1 hour = 216.6 miles
2 hours = 432 miles
3 hours = 650 miles
And so on...
if you look the exact number per hour is 216.666667
but im asuming your techer would want the approximate answer so i just rounded it for you.
Tho the most exact answer is 4.62 hours.
One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.
Answer:
The other small angle is 53.5 degrees
Step-by-step explanation:
We know that a right triangle has to have a 90 degree angle and 2 other small angles.
All triangles when adding up all of their "degrees" has tp equal 180 degrees.
Since we know that there is a 90 degree angle and a 36.5 degree angle.
All we have to do is add 90 plus 36.5, then subtract that sum onto 180.
90 + 36.5 = 126.5
180 - 126.5 = 53.5
So the answer is 53.5 degrees.
Hope this helps! :)
૮ ・ﻌ・ა
A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.
Missing angle = sum of angles in a triangle - (sum of the two given angles)
Missing angle = 180 - ( 90 + 36.5)
180 - 126.50
= 53.5 degrees
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Write a two-column proof.
Given: AC bisects ZBAD, ZBCA ZDCA
Prove: BC= DC
Left Column: AC bisects ZBCA ZDCA. Right Column: Angle ZBAC = Angle ZDCA (Angle Bisector Theorem).
What is an angle bisector theorem?Angle bisector theorem states that in any triangle, the line that bisects an angle also divides the opposite side into two segments that are proportional to the other two sides of the triangle. This theorem can be used to prove that the angle bisector of any triangle is the perpendicular bisector of the opposite side. In other words, the line that bisects the angle of a triangle will also divide the opposite side into two segments with lengths that are equal to the ratio of the other two sides of the triangle.
Left Column Right Column
1. AC bisects ZBAD 1. AC bisects ZBCA ZDCA
2. ZBAD = ZBCA + ZDCA 2. Angle ZBAC = Angle ZDCA (Angle Bisector Theorem)
3. Angle ZBAC = Angle ZBCA + Angle ZDCA 3. BC = DC (Congruent Sides of Congruent Triangles)
4. Angle ZBCA = Angle ZDCA
5. BC = DC (Congruent Sides of Congruent Triangles)
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Perform the calculation and report your results to the correct number of significant figures. (10.52)(0.6721)
(19.09−15.347)
The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.
Performing the calculation:
(10.52)(0.6721) = 7.0671992
Rounding to the correct number of significant figures, we have:
(10.52)(0.6721) ≈ 7.07
Next, let's calculate (19.09 - 15.347):
(19.09 - 15.347) = 3.743
Rounding to the correct number of significant figures, we have:
(19.09 - 15.347) ≈ 3.74
Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.
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drag each tile to the correct box. not all tiles will be used. one solution each is given for four quadratic equations. assuming that each quadratic equation has two solutions, what is the second solution for each equation? arrowright arrowright arrowright
for the equation is, x = -4 - 5i
The solution will be, x = -4 + 5i
for the equation is, x = 4 + 5i
The solution will be, x = 4 - 5i
for the equation is, x = 5 - 4i
The solution will be, x = 5 - 4i
Quadratic equation defind as:Any equation in algebra that can be written in proper format as where x stands for an unknown, where a, b, and c stand for known numbers, and where a 0
According to the given information:If (a + bi) is a complex number and a quadratic equation has one solution,
The second solution to the equation will be the conjugate of the first.
Consequently, the alternative solution will take the form of (a - bi).
for the equation is, x = -4 - 5i
The solution will be, x = -4 + 5i
for the equation is, x = 4 + 5i
The solution will be, x = 4 - 5i
for the equation is, x = 5 - 4i
The solution will be, x = 5 - 4i
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The diagram shows a triangle.
All the measurements are in cm.
3x-1
4x + 1
3x
The perimeter of the triangle is 70 cm.
The area of the triangle is A cm².
Work out the value of A.
The area of triangle (A) is 210 cm².
What is the area of the triangle and perimeter of the triangle?
If a, b, and c are the sides of the triangle, then
Perimeter of the triangle = (a + b + c) units.
Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\)
The semi-perimeter of the triangle, s = (a + b + c)/2
Let the triangle is ABC,
and AB = 3x - 1, BC = 4x + 1 and AC = 3x.
Perimeter = 70
AB + BC + AC = 70
3x-1 + 4x + 1 +3x = 70
10x = 70
x = 7
AB = a = 3x - 1 = 20
BC = b = 4x + 1 = 29
AC = c = 3x = 21
Now semi-perimeter = s = 70/2
s = 35
Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\)
\(=\sqrt{35(35-20)(35-29)(35-21)}\\\\\\=\sqrt{35(15)(6)(14)}\\\\=\sqrt{44100}\\\\=210\)
Area of the triangle = 210 square cm.
Hence, the area of triangle (A) is 210 cm².
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rearrange the formula below to make 'a' the new subject:
\(c + \frac{1}{2}a^{2}b = d\)
is the bottom answer correct for this question? :
\(a = \sqrt{2(\frac{d-c}{b} )}\)
Step-by-step explanation:
c + 1/2 × a²b = d | - c on both sides
1/2 × a²b = d - c | ×2 on both sides
a²b = 2(d - c) | /b on both sides
a² = (2/b) × (d - c) | sqrt on both sides
a = sqrt(2(d - c)/b)
yes, the given answer is correct.
a) Why would a department manager receiving an allocation of costs care about management's methodology of overhead allocation?
b) What difference do the allocation base and rate make? Don't all of the overhead costs eventually make their way to the income statement?
c) Cost planning is budgeting. Are budgets as helpful as theoretically proposed? Consider budgets from a business perspective. Which budget(s), based on reading, do you believe is/are most important to the organization's success? How does the government's budget process compare to the operating budgeting process described in the chapter? What are the similarities and differences?
a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.
b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base
c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.
a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.
b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.
Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.
c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.
The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.
The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.
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What is the value of x when f(x) = -6. Explain how to find it.
X
-6
у
-12
-6
-3
0
0
3
6
6
12
Answer:
The function g(x) simply takes the value x and turns it into its reciprocal value . Thus, for instance, the number 5 becomes , and becomes 2. Note that any value of x works in this function as long as is defined. As mentioned, fractions work as well as whole numbers, both for positive and negative values; the only value that does not work is 0, since is undefined (how many times can 0 go into 1?). Thus, the domain of the function is all x in where x ≠ 0. Let's look at the graph of the function also.
Step-by-step explanation:
The function f simply takes in input value x, multiplies it by 2, and then adds 3 to the result. We can therefore consider what constitutes the set of numbers that the function can accept as an input and what constitutes the set of numbers that the function can yield as an output.
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answer:
904.78
Step-by-step explanation:
Pls lmk the answer it’s a final
Answer:
The slop is 1 and the y intecept is 2
Step-by-step explanation:
Answer:
Slope=3
Y intercept=2
I hope this helps you! Do you need any more help with your final?
Write an equation where the variable is divided by a number, and a solution is -4/5
Answer:
x/-5
Step-by-step explanation:
Just divide by 5 and the denominator will be 5 meaning x would have to be 4.
Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5
ANSWER FOR BRAINLIEST AND 50 POINTS:
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEAN of the temperatures. Round to the nearest tenths place.
A. 82.3
B. 89
C. 83
D. 78
Answer:
A.
mean=82.286
Rounded to the tenths place would be= 82.3
Step-by-step explanation:
The Mean is found by adding all of the values together
Then dividing it by how many values there are.
In this instance, all the values added up equal 576
576 now will be divided by how many temperatures are recorded.
576/7=82.286
82.286 Rounded to nearest tenth=82.3
the equation, has one solution. solve the equation and show and describe all the steps to show that the solution is of the form x
This is true, so we have shown that the solution x = 4 is indeed of the form x. To solve an equation that has only one solution, we need to first identify the equation. Let's say the equation is given as:
x + 3 = 7
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 3 from both sides:
x + 3 - 3 = 7 - 3
This simplifies to:
x = 4
So the solution to this equation is x = 4.
Now, to show that the solution is of the form x, we can substitute the value of x into the original equation and see if it satisfies the equation.
In this case, we have:
4 + 3 = 7
This is true, so we have shown that the solution x = 4 is indeed of the form x.
Overall, the steps to solve an equation with one solution are:
1. Identify the equation
2. Isolate x on one side of the equation
3. Simplify the equation to find the value of x
4. Substitute the value of x into the original equation to check that it satisfies the equation
5. If the substituted value satisfies the equation, the solution is of the form x.
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Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
13 cm.
A. Knowing that 52 + 92 < 122, draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle.
B. Knowing that 52 + 122 = 132, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 # 132, draw the 9 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to
form a right triangle.
To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to
form a right triangle.
In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.
By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.
Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.
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What pattern do you notice in these two
measurements,
10.3 cm and 103 mm?
6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.
If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Let Y = 2 - X, where X is an exponential random variable with mean 1.
To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.
Cov(X,Y) = E[XY] - E[X]E[Y]
Since X and Y are both exponentially distributed with mean 1, we have:
E[X] = 1, E[Y] = 2 - E[X] = 1
E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)
Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0
Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.
Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.
Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
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2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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An airplane was in flight on its way to Disney at an altitude of 12,645 feet. It was almost there and began its descent. The pilot started taking it down at 172 feet every 30 seconds. What was the altitude of the plane after 4 minutes?
The altitude of the airplane after 4 minutes of descent, descending at a rate of 172 feet every 30 seconds is 11,109 feet.
The descent rate of the airplane is given as 172 feet every 30 seconds. To calculate the altitude after 4 minutes (240 seconds) of descent, we need to determine the number of descent intervals and subtract the cumulative descent from the initial altitude.
The number of descent intervals in 4 minutes can be calculated as follows:
4 minutes * (60 seconds/1 minute) / (30 seconds/interval) = 8 intervals
Next, we calculate the cumulative descent:
8 intervals * 172 feet/interval = 1,376 feet
Finally, we subtract the cumulative descent from the initial altitude:
12,645 feet - 1,376 feet = 11,109 feet
Therefore, the altitude of the plane after 4 minutes of descent is 11,109 feet.
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The airplane, initially at an altitude of 12,645 feet, descends at a rate of 172 feet every 30 seconds for a total of 4 minutes. This totals a descent of 1376 feet, leaving the airplane at an altitude of 11,269 feet after the 4 minute descent.
Explanation:The subject of this problem is Mathematics and it involves calculating the new altitude of a descending airplane. The scenario involved is that an airplane, flying at an altitude of 12,645 feet, starts to descend at a rate of 172 feet every 30 seconds. The pilot continues this descent for 4 minutes.
The first step in solving this is to know how many 30-second intervals are in 4 minutes. Since there are 2 intervals per minute, this means there are 8 intervals in 4 minutes. If the plane descends 172 feet per interval, over 8 intervals, it descends a total of 172 feet x 8 = 1376 feet.
The final altitude of the plane would be the original altitude minus the total decline. In this case, it would be 12,645 feet - 1376 feet, which equals 11,269 feet. Therefore, the airplane will be at an altitude of 11,269 feet after 4 minutes of descent.
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A(-2, 2), B(6, 2), C(6, 3), and D(-2, 3).
What is the area of rectangle ABCD?
Answer: 80un^2
Step-by-step explanation:
The length of AB is 10
The length of BC is 8
The length of CD is 10
The length of DA is 8
10 x 8 = 80 and there are two pairs of 8 and ten which makes it 80un^2
Please help me now i need this
The probability that both Event A (the first die is 4 or less) and Event B (the second die is even) will occur is 1/3.
What is the probability that both events will occur?To find the probability that both Event A and Event B will occur, we need to calculate the individual probabilities of each event and then multiply them together.
Event A: The first die is 4 or less.
There are 6 possible outcomes for the first die (numbers 1 to 6), and out of those, 4 outcomes (numbers 1, 2, 3, and 4) satisfy the condition. Therefore, the probability of Event A is 4/6, which simplifies to 2/3.
Event B: The second die is even.
For a fair six-sided die, there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes. Therefore, the probability of Event B is 3/6, which simplifies to 1/2.
To find the probability that both events will occur, we multiply the probabilities of Event A and Event B:
Probability of both events occurring = Probability of Event A * Probability of Event B
P = (2/3) * (1/2)
P = 2/6
P = 1/3
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The density of a material that has a mass of 48g and a volume of 12cm3?
The density of the material is 4 g/cm³.
What is the density of the material?
Density is a physical property that describes the amount of mass per unit volume of a substance. It is typically represented by the symbol "ρ" (rho) and is calculated by dividing the mass of an object by its volume. The units of density are usually expressed as mass per unit volume, such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).
Density is defined as mass per unit volume. We can use the formula:
density = mass/volume
Substituting the given values:
density = 48g / 12cm³
Simplifying:
density = 4g/cm³
Therefore, the density of the material is 4 g/cm³.
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An unbounded feasible region might not result in an unbounded solution as it depends whether the problem is a minimization or a maximization one.
a. true
b. false
Answer:
True
Step-by-step explanation:
how do i write a composition of transformations that maps a polygon onto another polygon that are congruent
Answer:A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) Distance (miles) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?
Step-by-step explanation:
do not uses this site i got all my answers wrong going here
Tell us this if you have a job or allowance how much do you take home per week? need help!
Grandma is baking 108 cookies. How many cups of sugar will she need?
Answer:
Step-by-step explanation:
Find the sum. (−12) + (−6) + (−3) + (−7)
Answer:
-28
Step-by-step explanation:
Technically, you just have to subtract all of these negatives. This is an easier way to look at it...
-12-6-3-7 It's easier (for me) to subtract left to right.
-18-3-7
-21-7
-28
Hope this helped you!! Have a great day c:
please help!!
A government agency reported that one year, 21,013 people were treated for medical emergencies related to
energy drinks containing very high doses of caffeine. The table shows the age distribution for these patients.
What is the probability that a person treated for an energy drink-related emergency was under 40 given that
the person was at least 18 years old?
please help!!!
The probability that a person treated for an energy drink-related emergency was under 40 given that the person was at least 18 years old is approximately 0.550 or 55.0%.
What is the formula for probability?In general, probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in a sample space. Event probability P(E) = (number of favourable outcomes) (Sample space).
We must use conditional probability to determine the likelihood that a person treated for an energy drink-related emergency was under 40, given that the person was at least 18 years old.
We can use the following formula:
P(A | B) = P(A and B) / P(A and B) (B)
where A is the event "the person is under 40" and B is the event "the person is over 18".
According to the table, 11,146 people under the age of 40 and over the age of 18 were treated for energy drink-related emergencies. The total number of people over the age of 18 who have been treated for energy drink-related emergencies is 20,244.
So,
P(A, B) = 11,146
P(B) = 20,244
Therefore,
P(A and B) / P(B) = 11,146 / 20,244 0.550
So the probability that a person treated for an energy drink-related emergency was under 40 is approximately 0.550 or 55.0% if the person was at least 18 years old.
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