An initial fee of $45 has to be paid to the provider and a charge of $35 per month.
Define linear equation.When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0. The variables x and A in this situation are variables, but B is a constant. The typical form of a linear equation with two variables is Ax + By = C. In this case, we have the variables x and y, the coefficients A and B, and the constant C.
A linear equation is in the form:
y = mx + b
Here y, x are variables, m is the rate of change and b is the initial value of y.
Let C represent the total cost of service for x months. Given:
C = 35x + 45
This means an initial fee of $45 has to be paid to the provider and a charge of $35 per month.
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Am I correct? Since the measure of the triangle is always 18. So, I added 117+ 33 which gave me 150. Next, I subtracted 150 from 150 from one side. Then, I subtracted 180 from 150 which gave me 33.
The measure of the angle ∠ACD will be 150°. Then the correct option is D.
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°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The internal angles ∠A is 33° and ∠B is 117°.
Then the measure of the internal angle ∠C is given as,
∠A + ∠B + ∠C = 180°
33° + 117° + ∠C = 180°
∠C = 30°
The angle ∠C and angle ∠ACD are supplementary angles. Then we have
∠C + ∠ACD = 180°
30° + ∠ACD = 180°
∠ACD = 150°
The measure of the angle ∠ACD will be 150°. Then the correct option is D.
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Lui ride hi bicycle 34 mile in 15 minute along the bike trail. Auming he ride at a contant rate, what i hi peed, in mile per hour?
mile per hour
The speed of Lui is 136 miles per hour as calculated using the equations of motion at a constant rate.
Distance covered by Lui = 36 miles
Time taken by Lui to cover the distance
= 15 minutes
= 15 / 60 hour
= 0.25 hour
Speed = distance ÷ time
or, speed = 34 ÷ 0.25
or, speed = 136 miles per hour.
Therefore moving at a constant rate his speed is 136 miles per hour.
The magnitude of an object's position change over time or the amount of position change per amount of time; it is thus a scalar number.
The average speed of an object in a particular time interval is the distance travelled divided by the interval's duration.
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Complete the explanation of how you can use equations with variables on both sides to solve real-world problems.
You can (blank) the costs of service that charge hourly or weekly rates.
A. Separate
B. Match
C. Compare
You can Separate the costs of service that charge hourly or weekly rates. So, the correct answer is A).
Let the problem be, "Juan is paid $10 per hour for the first 40 hours he works in a week, and $15 per hour for any additional hours. If Juan worked a total of 50 hours this week, how much did he earn?"
To solve this problem using equations with variables on both sides separately, we can first let x be the number of additional hours that Juan worked beyond the first 40 hours. Then, we can express Juan's total pay for the week in terms of x
Total pay = $10(40) + $15(x)
We can simplify this equation by distributing the $15:
Total pay = $400 + $15x
This is an equation with a variable on both sides. To solve for x, we can start by subtracting $400 from both sides
Total pay - $400 = $15x
Next, we can divide both sides by $15:
(Total pay - $400)/$15 = x
Now that we have the value of x, we can use it to find Juan's total pay for the week
Total pay = $10(40) + $15x
Total pay = $400 + $15(Total hours - 40)
Total pay = $400 + $15(50 - 40)
Total pay = $400 + $150
Total pay = $550
Therefore, Juan earned $550 this week. So, the correct option is A).
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the diameters of cylinders form a normal distribution with the mean of 5 cm and the standard deviation of 0.2 cm. katie ordered a cylinder from this population and the store manager told her that the cylinder she ordered is bigger than average in size. the manager specifically mentioned that her cylinder would be in the upper 10% in its size (diameter). what is the possible lowest diameter of katie's cylinder?
The possible lowest diameter of Katie's cylinder is approximately 5.26 cm.
To find the possible lowest diameter of Katie's cylinder, we'll use the concepts of normal distribution, mean, and standard deviation.
1. Recall the given information:
- Mean diameter (µ) = 5 cm
- Standard deviation (σ) = 0.2 cm
- Katie's cylinder is in the upper 10% in size (diameter).
2. Determine the z-score that corresponds to the upper 10% of the distribution:
To find the z-score for the upper 10%, you can use a z-table or a calculator with a built-in function to find the inverse of the cumulative distribution function (commonly known as the "inverse CDF" or "quantile" function). The z-score corresponding to the upper 10% is approximately 1.28.
3. Calculate the possible lowest diameter of Katie's cylinder using the z-score formula:
z = (X - µ) / σ
where:
- z is the z-score
- X is the diameter we want to find
- µ is the mean diameter
- σ is the standard deviation
4. Rearrange the formula to solve for X:
X = z * σ + µ
5. Plug in the values and solve for X:
X = (1.28 * 0.2) + 5
X = 0.256 + 5
X ≈ 5.26 cm
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Use the following compound interest formula to complete the problem. A = P (1 StartFraction r over n EndFraction) superscript n superscript t Sandra has two credit cards, P and Q. Card P has a balance of $726. 19 and an interest rate of 10. 19%, compounded semiannually. Card Q has a balance of $855. 20 and an interest rate of 8. 63%, compounded monthly. Assuming that Sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. Card Q’s balance increased by $7. 22 more than Card P’s balance. B. Card Q’s balance increased by $6. 69 more than Card P’s balance. C. Card P’s balance increased by $3. 43 more than Card Q’s balance. D. Card P’s balance increased by $0. 80 more than Card Q’s balance.
The total amount is equal to the sum of principal and interest. Option C is correct. The amount on Card P increased by $3.43 more than the sum on Card Q.
What is a credit card?
A credit card is a payment card offered to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's incurred debt.
The given data in the problem is;
Time period = 4 years
Increase rate for card p= 10. 19%,
principal for card P= $726. 19
principal for card Q = $855. 20
Increase rate for card Q= 8. 63%
The value obtained after the interest is commutative balance.
total cumulative balance in Card P = $1080.70
total cumulative balance in Card Q= $1,206.28.
Card P has a total cumulative balance of $1080.70 during the last four years, whereas Card Q has a total accumulated balance of $1,206.28.
When the principal is removed from the cumulative value, Card P would have earned more interest than Card Q based on the principal outlay.
Intreast for card P = $1080.70- $726.19 = $354.51
Intreast for card Q= $1206-$854.92=$351.08
The interest over the four years would be $354.51 and $351.08, respectively,
Hence option C is correct. Card P’s balance increased by $3. 43 more than Card Q’s balance.
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Boxplots are NOT recommended for use with which of the following types of distributions?
Unimodal
Skewed
Symmetric
Bimodal or any multimodal distribution
Boxplots are not recommended for use with bimodal or any multimodal distributions.
Boxplots, also known as box-and-whisker plots, are graphical representations of the distribution of a dataset. They provide information about the median, quartiles, and potential outliers. Boxplots are particularly useful for summarizing unimodal, skewed, or symmetric distributions.
However, boxplots are not ideal for representing bimodal or multimodal distributions. Bimodal distributions have two distinct peaks or modes, while multimodal distributions have more than two peaks. In these cases, a boxplot may not effectively capture the complexity and characteristics of the distribution.
Boxplots are primarily designed to show the central tendency and spread of unimodal distributions or distributions that exhibit skewness or symmetry. They work well in these cases because they summarize key statistical measures and provide a clear visual representation of the spread.
For bimodal or multimodal distributions, other types of visualizations, such as histograms or kernel density plots, are often more suitable. These visualizations can better depict the multiple modes and capture the intricacies of the distribution.
In summary, boxplots are not recommended for use with bimodal or multimodal distributions, as they may not effectively represent the complexity and characteristics of these types of distributions.
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*
Select all the values that are in the domain.
{(-1, 2), (-2,3),
(-3,4),(-4,5)
Answer:
{-1, -2, -3, -4}
Step-by-step explanation:
The domain is the set of all x-values.
what are the integers of 58
Answer:
{1,2,29,58}
Step-by-step explanation:
As the only factors of 58 are {1,2,29,58} , there are no two consecutive integers whose product is 58
Answer:
1,2,29.58
Step-by-step explanation:
:)
Please help I don’t understand how to do this
Answer:
DOC = 70
BOC = 110
AOD = 110
Step-by-step explanation:
AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.
AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.
Hope this makes sense:)
The pirouette dance team needs more than $300 to cover
costume expenses. they have $75 and plan to sell raffle tickets,
r, for $5 each in order to raise money.
Answer:
You need "more than" 300.
Step-by-step explanation:
i did the test
The line plot shows the ages at which a group of
instrument. Based on the data in the line plot, which statement is not true?
X
х х X
X х х х X
х х х х х х
x x х х х х х
х
X х X х X х х
х
++ + + + + +
4 5 6 7 8 9 10 11 12
Age of musician
X X X
Fewer of the musicians started to play at age 12 than at age 5.
The range of the ages shown is 8 years.
Most of the musicians started to play at age 9 or older.
There are 34 musicians included in the data.
Based on the given line plot, the statement "Fewer of the musicians started to play at age 12 than at age 5" is not true.
Looking at the line plot, we can see that the X marks representing musicians are placed at age 12 more frequently than at age 5. Therefore, the statement that fewer musicians started to play at age 12 compared to age 5 is not supported by the data.
The other statements can be evaluated as follows:
The range of the ages shown is 8 years: True. The line plot displays ages ranging from 4 to 12, which corresponds to 8 years.
Most of the musicians started to play at age 9 or older: True. By observing the line plot, it can be seen that the majority of X marks are located at age 9 and above, indicating that most musicians started playing at age 9 or older.
There are 34 musicians included in the data: False. The number of musicians included in the data cannot be determined from the given line plot. The line plot does not provide any information about the total count of musicians represented.
Therefore, the statement "Fewer of the musicians started to play at age 12 than at age 5" is the one that is not true based on the given line plot.
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I am 80 units away from -2 where am I
Answer:
78 or -82
Step-by-step explanation:
-2+80=78
-2-80=-82
Can somebody please help
Answer:
for what
Step-by-step explanation:
i didnt see anything
2x+y=17 in slope intercept form
Answer:
y=-2x+17
Step-by-step explanation:
So the problem is 2x+y=17, we know that slope intercept form is y=mx+b where m is the slope and b is the y-int.
All you have to do is isolate the y.
2x+y=17
-2x on both sides so you can leave the y alone.
y=-2x+17 should be the answer. Hope this helps!
Robin spent $ 28 at an amusement park For admission and rides. If she paid $6 for admission and rides cost $2 each what is the total number of rides that she went on
Answer:
11 rides
Step-by-step explanation:
let the total amount be y
and let the number of ride be x
the expression for the situation is y=mx+c
given
total amount=$28
admission fee= $6
cost per ride=$2
we are expected to find x
substitute into the expression we have
28=2x+6
28-6=2x
22=2x
divide boths sides by 2 we have
x=22/2
x=11
the number of rides is 11
the likelihood that a researcher will obtain the same result using the same measures the next time he or she tests a hypothesis is:
The likelihood that a researcher will obtain the same result using the same measures the next time he or she tests a hypothesis is Reliability.
In statistics and psychometrics, reliability is the overall consistency of measurements. Measurements are more reliable when similar results are obtained under the same conditions. Reliable results are accurate, reproducible, and consistent from test event to test event. In other words, if the testing process were repeated on a group of test takers, they would yield essentially the same results. Various types of confidence factors with values ranging from 0.00 (large error) to 1.00 (no error) are commonly used to indicate the amount of error in the assessment.
Examples: include measurements of a person's height and weight. Very reliable in many cases. There are several general classes of reliability estimates: 71.
Retest reliability measures the consistency of test results from one test to the next. Measurements are collected by a single rater using the same method or equipment and the same test conditions. This includes intra-rater reliability.
Inter-method reliability measures how consistent test results are when there is variation in the method or instrumentation used. This means that inter-rater reliability can be ruled out.
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Q2) For total cost: TC(q)=10−6q+q2 determine: a. the production level (q∗) that minimizes total cost. b. The amount of Total cost for the q∗, in other words TC(q∗) ? (10 pints)
The amount of total cost at q* is 1.
To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):
TC(q) = 10 - 6q + q^2
To find the minimum point, we differentiate TC(q) with respect to q:
d(TC(q))/dq = -6 + 2q
Setting the derivative equal to zero and solving for q:
-6 + 2q = 0
2q = 6
q = 3
So the production level q* that minimizes the total cost is 3.
To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):
TC(q*) = 10 - 6(3) + (3)^2
TC(q*) = 10 - 18 + 9
TC(q*) = 1
Therefore, the amount of total cost at q* is 1.
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argumento sobre el medio ambiente
El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.
Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.
Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.
En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.
7. A rectangle has a length that is 2 cm less than 3 times the width. The perimeter of the
rectangle is 34 cm. Determine the dimensions of the rectangle.
Answer:
width=4.75cm
length=12.25cm
Step-by-step explanation:
let the width of the rectangle=x
the length=3x-2
Given that perimeter=34cm,
2(x)+2(3x-2)=34
2x+6x-4=34
8x-4=34
8x=38
x=38/8=4.75cm
Therefore,
width=4.75cm
length=12.25cm
Arithemtic sequence is the constant nonzero difference between consecutive terms. True or false
Answer:
true
Step-by-step explanation:
every new term is created by adding a constant to the previous term.
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid
z = 8 + 2x2 + 2y2 and the plane z = 14 in the first octant
The volume of the given solid bounded by the paraboloid
z = 8 + 2x2 + 2y2 and the plane z = 14 in the first octant is π(7√3 - 28/3).
To use polar coordinates to find the volume of the given solid, we first need to express the given surfaces in polar coordinates. In polar coordinates, the paraboloid can be expressed as
z = 8 + 2r^2 cos^2 θ + 2r^2 sin^2 θ = 8 + 2r^2, since
sin^2 θ + cos^2 θ = 1. The plane z = 14 intersects the paraboloid at
z = 14, so we can set 8 + 2r^2 = 14 and solve for r to find the boundary of the solid in the first octant: r = √3.
The volume of the solid can be found using a triple integral in polar coordinates, integrating over the region defined by 0 ≤ r ≤ √3 and 0 ≤ θ ≤ π/2:
V = ∫∫∫ dz r dr dθ
The limits of integration for z are 8 + 2r^2 to 14, and the limits of integration for r and θ are as described above. Evaluating the integral, we get:
V = ∫∫∫ dz r dr dθ
= ∫₀^(π/2) ∫₀^√3 ∫_(8+2r^2)^14 r dz dr dθ
= ∫₀^(π/2) ∫₀^√3 (14r - 8 - 2r^2) dr dθ
= ∫₀^(π/2) [7r^2 - 4r^3/3]_0^√3 dθ
= ∫₀^(π/2) 7√3 - 28/3 dθ
= π(7√3 - 28/3)
Therefore, the volume of the given solid is π(7√3 - 28/3).
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A researcher was interested in studying americans email habits. She suspected that americans spend less than 7 hours a week answering their email. The general social survey in 2004 included a question that asked about the number of hours that the respondent spend on email per week. The general social survey in 2002 asked 1,264 respondents this question. The sample mean number of hours was 6. 02 and the sample standard deviation was 7. 80. Find the test statistic.
The test statistic is -4.47
Given,
In the question:
The sample mean number of hours was 6. 02
and the sample standard deviation was 7. 80
Now, According to the question:
Let's know
What are the hypothesis tested?
At the null hypothesis, it is tested if they spend 7 hours a week answering their email, that is:
\(H_{0}:\) μ =7
At the alternative hypothesis, it is tested if they spend less than 7 hours, that is:
\(H_{1}\) : μ < 7
The test statistic is given by:
t = (x bar - μ)/s /\(\sqrt{n}\)
The parameters are:
"x bar" is the sample mean.
μ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.
In this problem, the parameters are given as follows:
x bar = 6.02, μ = 7 , s = 7.8 , n 1264
Substitute the values in above test statistic :
t = (6.02 - 7)/7.8 / \(\sqrt{1264}\)
By solving:
t = - 4.47
Hence, The test statistic is -4.47
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Solve the compound inequality.
x +4> 9 or 4x<-32
Answer:
x>5 or x<-8
Step-by-step explanation:
x +4> 9 or 4x<-32
Solve the first one first
x+4>9
Subtract 4
x+4-4 > 9-4
x >5
Then solve the second one
4x<-32
Divide by 4
4x/4 < -32/4
x < -8
x>5 or x<-8
A sample of size 50 is to be taken from an infinite population whose mean and standard deviation are 52 and 20, respectively. The probability that the sample mean will be larger than 49 is:
Select one:
a. 0.4452.
b. 0.9452.
c. 0.8554.
d. 0.3554.
The probability that the sample mean will be larger than 49 is approximately c. 0.8554.
To calculate the probability, we need to standardize the sample mean using the formula Z = (X - μ) / (σ / √n), where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, X = 49, μ = 52, σ = 20, and n = 50. Substituting these values into the formula, we get:
Z = (49 - 52) / (20 / √50) ≈ -1.0607
Next, we can use a standard normal distribution table or calculator to find the probability that Z is larger than -1.0607. The corresponding probability is approximately 0.8554.
Therefore, the correct answer is c. 0.8554.
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What is 28196−−−√ written in simplified radical form?
Answer:
167.9166459
Step-by-step explanation:
Help Help Help!? I don’t get it! It’s due in a few minutes! Please help!
Step-by-step explanation:
60=2x+14
46=2x
x=23
In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?
Answer:
The correct option is;
\(\left ( -2,\dfrac{2 \cdot \pi }{3} \right)\)
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore \(\left ( -2,\dfrac{2 \cdot \pi }{3} \right)\)
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, \(\frac{2\pi }{3}\))
Given that ,
The first object is moving around the screen r = 4 cos(0)
The second object is moving around the screen r = -1 + 2cos(0)
We have to find ,
The coordinates represent a possible collision point of the objects.
According to the question,
Coordinate represent collision points to object ,
Equating both equations ;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -\(\frac{1}{2}\)
θ = \(cos^{-1} (\frac{1}{2} )\) = 120°
\(\theta\) = \(\frac{-2\pi }{3}\)
Therefore, the two equations are equal when θ = \(\frac{2\pi }{3}\)
We have;
r = 4·cos(\(\frac{2\pi }{3}\)) = -2
And r = -1 + 2·cos(\(\frac{2\pi }{3}\)) =
r = -2
r = 4·cos(\(\frac{2\pi }{3}\)) = -1 + 2·cos(\(\frac{2\pi }{3}\))
r = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and \(\theta = \frac{2\pi }{3}\) .
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, \(\frac{2\pi }{3}\)) .
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At which root does the graph of f x x 5 3 x 2 2 touch the x axis?
The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
Given that,
The function is f(x)= (x-5)³(x+2)²
We have to find at which root does the graph function touch the x-axis.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.
Take the function
f(x) = (x-5)³(x+2)²
f(x) = 0 if a curve touches the x-axis.
⇒ (x - 5)³(x + 2)² = 0.
But if ab = 0
So, a=0 and b=0
⇒ (x - 5)³ = 0 and (x + 2)² = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x=5 and x=-2.
Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
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( PLEASE HELP I WILL GIVE BRAINLIESTT! ) Lin ran 234 miles in 25 of an hour. Noah ran 823 miles in 43 of an hour.
Who ran faster, Noah or Lin? Lin ran faster.
How far would Lin run in 1 hour? Lin would run 55/8 an hour.
How far did Noah run in 1 hour? Noah ran ½ kilometers in
How long would it take Lin to run 1 mile at that rate?
How long would it take Noah to run 1 mile at that rate?
Answer:
the answer is 3 opinion
The side of the triangle are 12, 5 , and 13. Is this triangle a right triangle?
yes.
no.
The triangle with the given side lengths is a right triangle.
Is this triangle a right triangle?Remember that a right triangle meets the Pythagorean's theorem, it says that the sum of the squares of the legs is equal to the square of the hypotenuse.
Then if this triangle is a right one, the equation below must be true:
12² + 5² = 13²
Let's simplify both sides:
144 + 25 = 169
169 = 169
That equation is true, thus, the triangle is a right triangle.
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