Group of answer choices a correlation is when two events occur together at a rate higher than mere chance would predict.Therefore, none of these answers are correct.
The following is true of correlations: A correlation is when two events occur together at a rate higher than mere chance would predict. This is because when two events occur together, they are likely related to one another, rather than it being coincidental. However, correlation does not always indicate a causal relationship. Correlation is just an association between two variables, which could be because of chance, or there could be another variable that causes the two events to occur together.
A positive correlation holds when the occurrence of one event increases the chance of another event occurring. This means that when one variable increases, the other also increases. A negative correlation holds when the occurrence of one event decreases the chance of another event occurring. This means that when one variable increases, the other decreases.
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What is y if
-1/2 = 3/8y
Answer: -1 1/3 (this is one and a third) or -4/3 (improper fraction)
Step-by-step explanation:
Solve for y by simplifying both sides of the equation then isolate the variable (y).
Write an expression that is equivalent to -13y+7-11-4y
Answer:
-17y-4
Step-by-step explanation:
we can simplify it to -17y-4 by combining like terms.
A laptop computer is purchased for $1400. After each year, the resale value decreases by 35%. What will the resale value be after 4 years?
(Round to the Nearest dollar)
The resale value of the laptop after each year is calculated by multiplying the previous value by 0.65 (100% - 35% = 65%). After 4 years the resale value will be $250.
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)( (ln 2n) / ( (ln 6n) )( (ln2n)/ (ln6n) ) when n approaches infinity
The sequence converges to ln 2 / ln 6 as n approaches infinity.
How to find limit?
To determine whether the sequence converges or diverges, we need to take the limit of the sequence as n approaches infinity.
a_n = (ln 2n) / (ln 6n)
We can simplify this expression by applying logarithm rules:
a_n = (ln 2n) / (ln 6n) = (ln 2 + ln n) / (ln 6 + ln n)
Now we can use the fact that for any constant a>1, ln n is dominated by ln a as n approaches infinity, i.e., ln n / ln a approaches infinity as n approaches infinity.
Thus, as n approaches infinity, we have:
a_n = (ln 2 + ln n) / (ln 6 + ln n) ≈ ln 2 / ln 6
Therefore, the sequence converges to ln 2 / ln 6 as n approaches infinity.
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a concave mirror has a focal length of 16 cm . at what object distance will the magnification be -2.0?
The object distance is 0, which implies that the object is at the focus of the concave mirror.
For a concave mirror, the magnification is given by the formula:
m = -di/do
where m is the magnification, di is the image distance, and do is the object distance. Since we are given that the magnification is -2.0, we can write:
-2.0 = -di/do
Simplifying this expression, we get:
di = 2do
We can also use the mirror formula for a concave mirror:
1/f = 1/do + 1/di
where f is the focal length of the mirror. Substituting di = 2do and f = -16 cm (since the mirror is concave), we get:
1/-16 = 1/do + 1/(2do)
Multiplying both sides by -16do, we get:
do - 2f = -32
Substituting f = -16 cm, we get:
do - (-32) = -32 + 32
do = 0
This means that the object distance is 0, which implies that the object is at the focus of the concave mirror. This is a valid result, since a concave mirror can form a real, inverted image for an object placed at a distance equal to its focal length. In this case, the magnification would be -1, not -2. So, it is not possible to have a magnification of -2 for an object distance in front of a concave mirror with a focal length of 16 cm.
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simulateneous equations
7p +9q = 15
2p + 3q=3
Answer: q = -3, p = 6
Step-by-step explanation:
Multiply second equation by 3. 6q + 9q = 9. Equation one minus equation two which gives you p = 6. Then plug it in the second equation. 12 + 3q = 3. 3q = -9. q = -3.
i am stuck on my maths please help
Answer:
5/12
Step-by-step explanation:
Simply times the fractions together to get the area
5/8 x 2/3 = 10/24
Now simplify 10/24 by dividing by the HCF which is 2
So, in simplest form, your final answer is 5/12
i do not know what to say its twenty words to add an answer#
What is the 2-digit subtraction with regrouping worksheets?
Answer:
To subtract two-digit numbers, use column form. Subtract one column at a time, starting with the Ones column. We regroup, or borrow. To regroup, take 1 from the Tens column and add 10 to the Ones column.
Step-by-step explanation:
a certain dj takes requests for songs at a party. assume that there are 120 people at the party, each of whom makes exactly one request for a song. all of their requests are made independently. assume that each person asks for a pop song with probability 0.37, a rock song with probability 0.2, or a rap song with probability 0.43. what is the probability that 50 or more requests are made for pop songs?
the probability that 50 or more requests are made for pop songs is 0.0967, or about 9.67%.
Define binomial distributionThe binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
We can use the binomial distribution to model this situation, where the number of trials is 120 (the number of people at the party), and the probability of success (making a request for a pop song) is 0.37. Let X be the number of requests for pop songs. Then:
The mean of X is μ = np = 120 x 0.37 = 44.4
The standard deviation of X is σ = sqrt(np(1-p)) = sqrt(120 x 0.37 x 0.63) = 4.32
To find the probability that 50 or more requests are made for pop songs, we can use the normal approximation to the binomial distribution, which applies when np >= 10 and n(1-p) >= 10.
Let Z be a standard normal random variable, then:
P(X >= 50) = P((X - μ)/σ >= (50 - μ)/σ)
= P(Z >= (50 - 44.4)/4.32)
= P(Z >= 1.2963)
= 1 - P(Z < 1.2963)
= 1 - 0.9033
= 0.0967
Therefore, the probability that 50 or more requests are made for pop songs is approximately 0.0967, or about 9.67%.
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just before a referendum on a school budget, a local newspaper polls 377 voters to predict whether the budget will pass. suppose the budget has the support of 54% of the voters. what is the probability that the newspapers sample will lead it to predict defeat?
The probability that the newspapers sample will lead it to predict defeat is 92.36%.
To solve this problem, we need to use the binomial distribution formula.
Let's define the following:
X: number of voters in the sample who do not support the budget (i.e., the sample leads to a prediction of defeat).
n: sample size, which is 377.
p: proportion of voters who support the budget, which is 0.54 (since 54% support it, 46% do not support it).
The probability of the sample leading to a prediction of defeat is:
P(X = k) = (n choose a) * pᵃ * (1-p)ⁿ⁻ᵃ
where (n choose a) = n! / (a! * (n-a)!) is the binomial coefficient.
We want to find P(X >= 189), which means that at least 189 voters in the sample do not support the budget.
P(X >= 189) = 1 - P(X < 189)
To calculate P(X < 189), we can use a normal approximation to the binomial distribution, since n is large and p is not too close to 0 or 1.
The mean of the binomial distribution is mu = n * p = 377 * 0.54 = 203.58
The standard deviation is sigma = √(n * p * (1-p)) = √(377 * 0.54 * 0.46) = 10.20
We can standardize X using the z-score formula:
z = (X - mu) / sigma
P(X < 189) = P(z < (189 - 203.58) / 10.20) = P(z < -1.43)
Using a standard normal table or calculator, we can find that P(z < -1.43) = 0.0764.
Therefore, P(X >= 189) = 1 - P(X < 189) = 1 - 0.0764 = 0.9236.
So the probability that the newspaper's sample will lead it to predict defeat is approximately 0.9236, or 92.36%.
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Write the set notation to represent the shaded portion in the given Venn-diagram
The set notation that represents the shaded portion in the given Venn-diagram is: A ∪ B − (A ∩ B).
What is the set notation of the Venn Diagram?The union of the sets A and B simply denotes everything which is in either A or B, as represented by the shaded region in the given venn diagram. The intersection of two sets is that which is in both sets, as represented by the unshaded region in the following Venn diagram
The union of A and B is the entirety of all that is in either A or B, as represented by the shaded area inside the given venn diagram.
The intersection of sets is in each sets, as represented via way of means of the magenta shaded area withinside the following Venn diagram.
Thus, it is A ∪ B − (A ∩ B).
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A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of theselight bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?15 light bulbs.(please round to four decimal places) (b) Describe the distribution of the mean lifespan ofO approximately normal with µ = 9000 and = 1000O approximately normal with µ = 9000 and =1000/√15O left skewedO right skewed
Answer:
(a) Using the given mean and standard deviation, we can standardize the random variable X representing the lifespan of a light bulb as:
Z = (X - μ) / σ = (10,500 - 9,000) / 1,000 = 1.5
Then, we can use a standard normal distribution table or calculator to find the probability that a randomly chosen light bulb lasts more than 10,500 hours:
P(X > 10,500) = P(Z > 1.5) ≈ 0.0668
So the probability is approximately 0.0668, rounded to four decimal places.
(b) The distribution of the mean lifespan of 15 light bulbs can be described as approximately normal with a mean of 9,000 hours, and a standard deviation of 1,000 hours divided by the square root of 15 (since the sample size is 15).
This is because, according to the Central Limit Theorem, the distribution of sample means tends to be approximately normal regardless of the underlying distribution of the population, as long as the sample size is large enough. In this case, a sample size of 15 is large enough to assume a normal distribution.
the agent earns a 6% commission on the first $300,000 of the sales price and 3% of that portion of the sales price that exceeds $300,000. the commission is $21,150. what is the sales price?
As per the given commission, the sales price of the property is $405,000.
To do this, we need to break down the commission earned by the agent into two parts: the commission earned on the first $300,000 and the commission earned on the remaining amount. The commission earned on the first $300,000 can be calculated as:
Commission on first $300,000 = 6% of $300,000
Commission on first $300,000 = 0.06 x $300,000
Commission on first $300,000 = $18,000
So, the remaining commission earned by the agent on the amount that exceeds $300,000 is:
Total commission - Commission on first $300,000 = $21,150 - $18,000
Total commission - Commission on first $300,000 = $3,150
Now, we know that the commission earned on the remaining amount is 3% of the sales price that exceeds $300,000. Let's assume the sales price of the property is x. Then we can write the following equation:
3% of (x - $300,000) = $3,150
We can simplify this equation as follows:
0.03(x - $300,000) = $3,150
x - $300,000 = $3,150 / 0.03
x - $300,000 = $105,000
x = $300,000 + $105,000
x = $405,000
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worth 89 pints!!
pls asnweer
due in 5 minss
Answer:
a. 4
b. -2
c. 0,5
it js wants u to say what the number line represents
Step-by-step explanation:
Please someone answer this for me
The scale drawing of the mural would be 594.36 cm wide and 1097.28 cm tall.
What are scale drawings?A scale drawing is a drawing that shows an object or area at a scale that differs from the real size of the object or area. A scale, which is a ratio comparing the size of the drawing to the size of the actual item or location, is used to make scale drawings. A scale of 1:50, for instance, indicates that one unit on the design corresponds to fifty in real life.
In several disciplines, including architecture, engineering, and design, scale drawings are employed in real-world situations. Scale drawings are used by architects to construct building floor plans, elevations, and sections. Scale drawings are used by engineers to develop mechanical systems and machinery.
Given that the dimensions of the mural is 13 feet by 24 feet.
Converting into cm we have:
width = 13 feet * 30.48 cm/foot = 396.24 cm
height = 24 feet * 30.48 cm/foot = 731.52 cm
Now using the scale we have:
3cm : 2ft = x cm : 396.24 cm
Using cross multiplication we have:
2ft * x cm = 3cm * 396.24 cm
x = (3cm * 396.24 cm) / 2ft = 594.36 cm
For the height, we have:
3cm : 2ft = y cm : 731.52 cm
2ft * y cm = 3cm * 731.52 cm
y = (3cm * 731.52 cm) / 2ft = 1097.28 cm
Hence, the scale drawing of the mural would be 594.36 cm wide and 1097.28 cm tall.
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what is the probability that at least 50 respondents of a random sample of 100 mississippi residents do not identify themselves as conservative?
The probability that at least 50 respondents of a random sample of 100 Mississippi residents do not identify themselves as conservative is approximately 0.158
To solve this problem, we need to use the binomial distribution. Let's define the following
n = 100 (sample size)
p = 1 - 0.534 = 0.466 (probability of not identifying as conservative)
x = number of respondents who do not identify as conservative (we want at least 50)
We want to find P(X >= 50), which represents the probability of getting at least 50 respondents who do not identify as conservative in a random sample of 100 Mississippi residents.
We can use the cumulative distribution function (CDF) of the binomial distribution to calculate this probability. The CDF gives us the probability of getting up to a certain number of successes (in this case, respondents who do not identify as conservative).
Using a calculator or statistical software, we find
P(X >= 50) = 1 - P(X < 50) = 1 - binomcdf(100, 0.466, 49) = 0.158
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The given question is incomplete, the complete question is:
Mississippi is the most conservative U.S. state, with 53.4 percent of its residents identifying themselves as conservative. What is the probability that at least 50 respondents of a random sample of 100 Mississippi residents do not identify themselves as conservative?
solve this equasion 8x+12
Amari gathered a random sample of oranges in her town. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.
Which of the following variables did she use?
Type of orange
Diameter of the oranges
Number of navel oranges
Price per pound of oranges
Based on the information provided, it is most likely that the variable Amari used to construct the bar graph is the "Type of orange". This is because a bar graph is a visual representation of categorical data and is used to show the frequency or proportion of each category in a dataset. The other variables mentioned - diameter of the oranges, number of navel oranges, and price per pound of oranges - are all quantitative variables and are better represented using other types of graphs such as histograms, scatterplots, or line graphs.
Find the sum and simplify your answer completely.
3/4 + 7/12
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Which Operation would you use to solve each equation? Match each equation to the correct category
Use Addition to Solve
Use Subtraction to Solve
a-6.8=9.3
7=m+1.2
4+ y = 13
2=1-1
Equation one can be solved by additive property two by subtractive property.
What is an equation?A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.
It demonstrates the equality of the relationship between the printed statements on the left and right.
Left side equals right side in all formulas.
To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.
A statement is not an equation if it lacks the equals sign.
When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.
7=m+1.2
m=7-1.2
6.8
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20.
Use the figure to find the length of BC.
Answer:
B) 2
Step-by-step explanation:
First, we need to find BD:
by the Pythagorean theorem, (sqrt13)^2 + (sqrt23)^2 = BD^2
we can simplify this to 13+23=BD^2, which means BD^2 = 36, and BD is 6.
Therefore to find BC, we can use the Pythagorean theorem again and create the formula:
(4sqrt2)^2 + BC^2 = 6^2
This simplifies to 32 + BC^2 = 36, which means that BC^2 = 4, and BC = 2.
A nutrition label shows that there are 161 calories in 28 grams of dry roasted cashews. You eat 9 cashews totaling 12 grams.
You consumed approximately 69 calories from the 9 cashews you ate.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
A nutrition label typically provides information about the nutrient content of a food item per serving size. In this case, the label states that 28 grams of dry roasted cashews contain 161 calories.
To determine the number of calories in a smaller portion of cashews, we need to use a proportion or ratio.
We start by calculating the number of calories per gram of cashews by dividing the total number of calories by the total weight of cashews:
161 calories / 28 grams = 5.75 calories per gram of cashews
This means that each gram of cashews contains about 5.75 calories.
Next, we need to figure out how many grams of cashews you ate. The question states that you ate 9 cashews, which weighed a total of 12 grams.
To find out the number of calories you consumed, we simply need to multiply the weight of the cashews (12 grams) by the number of calories per gram (5.75):
5.75 calories per gram x 12 grams = 69 calories
Therefore, you consumed approximately 69 calories from the 9 cashews you ate.
Complete question is:
A nutrition label shows that there are 161 calories in 28 grams of dry roasted cashews. You eat 9 cashews totaling 12 grams. How many calories did you consume?
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Pls send help I need it
The inner surface area of the vessel, given the diameter of the hemisphere and the total height, is 133π cm².
How to find the inner surface area ?To find the inner surface area of the vessel, we will consider the hemisphere and the cylinder separately, and then sum their inner surface areas.
Hemisphere:
The diameter of the hemisphere is 14 cm, so its radius (r1) is half of that:
r1 = 14 cm / 2 = 7 cm
Inner surface area (hemisphere) = 2 * π * r1² / 2 = π * r1² = π * (7 cm)² = 49π cm²
The radius of the cylinder is the same as the hemisphere's (r2 = r1 = 7 cm). The height (h) of the cylinder can be found by subtracting the height of the hemisphere from the total height of the vessel:
h = total height - hemisphere height = 13 cm - 7 cm = 6 cm
Inner surface area (cylinder) = 2 x π x r2 x h = 2 x π x (7 cm) x (6 cm) = 84π cm²
Total inner surface area = inner surface area (hemisphere) + inner surface area (cylinder)
Total inner surface area = 49π cm² + 84π cm² = 133π cm²
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Edna watches TV for 2 to 7 hours every week, depending on how busy she is. If you look at a
log of the amount of time she spends watching TV weekly, what kind of sequence will you
see?
We would see a logarithmic sequence of values if we plotted the amount of time Edna spends watching TV weekly on a logarithmic scale.
If we plot the amount of time Edna spends watching TV on a logarithmic scale, we would see a continuous sequence of values that increase as her viewing time increases. Specifically, the sequence would be a logarithmic scale of the number of hours she watches TV per week.
On a logarithmic scale, each increment corresponds to a multiplication by a constant value. For example, if we use a logarithmic scale base 10, then each increment of 1 corresponds to a multiplication by 10. So, if we plot Edna's TV watching time on a logarithmic scale, we would see a sequence of values that increase by a factor of 10 as her TV watching time increases by an order of magnitude.
For example, if Edna watches 2 hours of TV per week, the logarithmic value would be log(2) = 0.3. If she watches 7 hours per week, the logarithmic value would be log(7) = 0.85. If she watches 20 hours per week, the logarithmic value would be log(20) = 1.3. As her viewing time increases, the logarithmic values would continue to increase in a continuous sequence.
Therefore, if we plotted the amount of time Edna watches TV each week on a logarithmic scale, we would see a logarithmic sequence of numbers.
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a company that sells t-shirts at a low base price (b), then sells them at a higher price (s) with a 40% markup to earn a profit. two different students write these two different equations to represent the situation. student 1 writes: b+.4b=s and student 2 writes: 1.4b=s. which on is correct and identify the relationship between the two equations and explain the property that justifies your answer.
The link between the base price and the selling price with the markup is expressed differently in both equations, but they are both true and accurately depict the same scenario using the distributive property.
What is distributive property?A basic tenet of mathematics is the distributive property of multiplication over addition, which asserts that the product of a number and a sum is equal to the total of the products of the number and each addend. In other words, if a, b, and c are all real numbers, then a(b + c) = ab + ac. By factoring out common components, this characteristic is employed in algebra to simplify statements and resolve equations.
The link between the base price and the selling price with the markup is expressed differently in both equations, but they are both true and accurately depict the same scenario using the distributive property.
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The formula for the volume of a cylinder is V= π r2 h. What is the radius for a cylinder that has a volume of 160π m3 and a height of 8m? express your answer in simplest radical form and as a decimal rounded to the nearest tenth
The cylinder has a radius of 2 times the square root of 5 meters, or roughly 4.5 meters rounded to the nearest tenth.
The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius, and h is the height.
In this case, we have:
V = 160π m³
h = 8 m
Substituting these values into the formula, we get:
160π = πr²(8)
Simplifying the equation by canceling out π on both sides, we get:
160 = 8r²
Dividing both sides by 8, we get:
20 = r²
Taking the square root of both sides, we get:
r = √20
Simplifying the radical by factoring out 4, we get:
r = 2√5
To express the radius as a decimal rounded to the nearest tenth, we can use a calculator to get:
r ≈ 4.5
Therefore, the radius of the cylinder is 2√5 meters or approximately 4.5 meters to the nearest tenth.
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Mira makes $46,830 annually. If she wants to pay at most 28% of her salary in rent,
what is the monthly maximum rent she can afford to pay?
Mira can afford to pay at most $1,094.03 per month in rent if she wants to limit her rent to 28% of her annual salary of $46,830.
To calculate the monthly maximum rent Mira can afford to pay, we need to follow these steps:
Step 1: Find 28% of Mira's annual salary:
28% of $46,830 = 0.28 x $46,830 = $13,128.40
Step 2: Divide the result from Step 1 by 12 to get the maximum monthly rent:
$13,128.40 ÷ 12 = $1,094.03 (rounded to the nearest cent)
Therefore, Mira can afford to pay at most $1,094.03 per month in rent if she wants to limit her rent to 28% of her annual salary.
Step 1 involves finding 28% of Mira's annual salary, which is done by multiplying her annual salary by 0.28 (which is equivalent to 28/100 or 0.28). This gives us the maximum amount of money Mira can spend on rent in a year while still staying within her 28% limit.
In Step 2, we divide the result from Step 1 by 12 to get the monthly maximum rent Mira can afford to pay. This is because there are 12 months in a year, so we need to divide the yearly rent limit by 12 to get the monthly limit.
In this case, the maximum amount of money Mira can spend on rent in a year is $13,128.40. Dividing this by 12 gives us a monthly maximum rent of $1,094.03 (rounded to the nearest cent). This means that if Mira wants to keep her rent payments at or below 28% of her annual salary of $46,830, she should look for a rental property that costs no more than $1,094.03 per month.
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Give both values of x that satisfy the equation
3 + 6 = x
X
Give your answers as decimals to 3 s.f.
Answer:
x = 6.464 and x = -0.464
Step-by-step explanation:
3/x + 6 = x
3 + 6x/x = x
3 + 6x = x²
x² - 6x - 3 = 0
x = 6 ± √36 - 4x - 3/2 = 6 ± √36 + 12/2
x = 6 ± √48/2 = 6 ± 4√3/2 = 3 ± 2√3
So x = 3 + 2√3 and 3 - 2√3
x = 6.464 and x = -0.464
cual es la respuestaaa
Answer:
48
Step-by-step explanation:
a² - 16 a = 8
8² - 16
= 64 - 16
= 48
Find x and y please please . Math help
Answer:
x = y = 20
Step-by-step explanation:
The two triangles shown are similar because one is simply an extension of othe other.
From this, we can use a similar side lengths formula specifically for triangles.
[tex]\frac{y + 5}{y} = \frac{15}{12}\\[/tex]
Notice that this represents the ratio of the whole side to the smaller side and says that this proportion is equal to the proportion for its adjacent side lengths. Cross mutiply the above equation to solve for y.
12(y+5) = 15y
12y + 60 = 15y
y = 20
Now we need to find the value of x. We have a side and hypotenuse's length of this large triangle, so we can use the pythagorean theorem to calculate the unknown side length.
(12 + 3)² + x² = (20 + 5)²
15² + x² = 25²
225 + x² = 625
x² = 400
x = ±20
The negative 20 doesn't make sense for this application so use the positive 20.
Therefore x = 20, y = 20.