F SCALE 4 1 2 3 2 2 0 0 0 0 1 3 0 3 1 0 0 0 0 0 0 1 0 1 4 3 0 1 1 1 1 0 0 1 1 1 1 2 0 1 2 0 4 0 1 0 3 0 F SCALE LENGTH (MI) 39.80 5.00 0.06 0.10 9.00 14.40 4.20 1.52 10.01 0.09 0.20 6.42 5.73 1.75 15.00 0.50 0.15 0.38 0.28 57.00 2.87 0.21 29.60 6.00 2.00 28.01 7.10 2.29 0.56 1.00 1.00 0.50 2.52 0.51 0.50 2.40 4.09 2.00 0.60 5.00 0.80 0.26 6.00 3.20 5.70 0.16 21.00 1.83 3.50 1.00 LENGTH (MI) WIDTH (YD) 400 100 100 200 400 50 50 30 25 50 20 300 40 50 100 200 10 30 50 50 50 30 10 100 50 800 100 350 150 50 100 20 50 70 50 450 50 150 80 75 27 75 400 60 1200 50 100 100 150 50 WIDTH (TD) Use software or a calculator to find the range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below. Be careful to account for missing data. Click the icon to view the tornado data. can be deleted from the Since the data are missing at random, the tornadoes with missing values data set. The range of the F-scale measurements is (Round to one decimal place as needed.)
Answers
The range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below are:Range ≈ 4Variance ≈ 1.9177Standard deviation ≈ 1.3857
Range of F-scale measurements: To find the range, we need to calculate the difference between the maximum and minimum values. Here are the maximum and minimum values: F SCALE4 1 2 3 2 2 0 0 0 0 1 3 0 3 1 0 0 0 0 0 0 1 0 1 4 3 0 1 1 1 1 0 0 1 1 1 1 2 0 1 2 0 4 0 1 0 3 0So, the maximum value is 4 and the minimum value is 0.Range= 4-0=4Variance of F-scale measurements :The formula for calculating the variance is:σ² = Σ(x-μ)² / nwhere,Σ means “sum”μ means “average” n means “number of values” First, let's calculate the average.μ = Σx / nwhere,Σ means “sum”n means “number of values” The sum of the values is:4+1+2+3+2+2+0+0+0+0+1+3+0+3+1+0+0+0+0+0+0+1+0+1+4+3+0+1+1+1+1+0+0+1+1+1+1+2+0+1+2+0+4+0+1+0+3+0=44The number of values is: n = 47So, the average is:μ = 44 / 47μ ≈ 0.936The sum of the squared differences is:(4-0.936)² + (1-0.936)² + (2-0.936)² + (3-0.936)² + (2-0.936)² + (2-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (1-0.936)² + (3-0.936)² + (0-0.936)² + (3-0.936)² + (1-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (0-0.936)² + (1-0.936)² + (0-0.936)² + (1-0.936)² + (4-0.936)² + (3-0.936)² + (0-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (0-0.936)² + (0-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (1-0.936)² + (2-0.936)² + (0-0.936)² + (1-0.936)² + (2-0.936)² + (0-0.936)² + (4-0.936)² + (0-0.936)² + (1-0.936)² + (0-0.936)² + (3-0.936)² + (0-0.936)²≈ 90.1618Therefore,σ² = Σ(x-μ)² / n = 90.1618 / 47σ² ≈ 1.9177Standard deviation of F-scale measurements: The standard deviation is the square root of the variance.σ = sqrt(σ²)σ = sqrt(1.9177)σ ≈ 1.3857T
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Related Questions
in estimating the accuracy of data mining (or other) classification models, the true positive rate is group of answer choices the ratio of correctly classified positives divided by the total positive count. the ratio of correctly classified negatives divided by the total negative count. the ratio of correctly classified positives divided by the sum of correctly classified positives and incorrectly classified positives. the ratio of correctly classified positives divided by the sum of correctly classified positives and incorrectly classified negatives.
Answers
The true positive rate measures the ratio of correctly classified positive instances to the total positive count and provides insights into a model's effectiveness in identifying positive cases accurately.
In estimating the accuracy of data mining or other classification models, the true positive rate refers to the ratio of correctly classified positives divided by the total positive count. It is an important evaluation metric used to measure the effectiveness of a model in correctly identifying positive instances.
To understand the true positive rate (TPR) in more detail, let's break down the components of the definition.
Firstly, "positives" in this context refer to instances that belong to the positive class or category that we are interested in detecting or classifying. For example, in a medical diagnosis scenario, positives could represent patients with a certain disease or condition.
The true positive rate is calculated by dividing the number of correctly classified positive instances by the total number of positive instances. It provides insight into the model's ability to correctly identify positive cases.
For instance, let's assume we have a dataset of 100 patients, and we are interested in predicting whether they have a certain disease. Out of these 100 patients, 60 are diagnosed with the disease (positives), and 40 are disease-free (negatives).
Now, let's say our classification model predicts that 45 patients have the disease. Out of these 45 predicted positives, 30 are actually true positives (correctly classified positive instances), while the remaining 15 are false positives (incorrectly classified negative instances).
In this case, the true positive rate would be calculated as follows:
True Positive Rate (TPR) = Correctly Classified Positives / Total Positive Count
TPR = 30 (Correctly Classified Positives) / 60 (Total Positive Count)
TPR = 0.5 or 50%
So, in this example, the true positive rate is 50%. This means that the model correctly identified 50% of the actual positive cases from the total positive count.
It's important to note that the true positive rate focuses solely on the performance of the model in classifying positive instances correctly. It does not consider the accuracy of negative classifications.
To evaluate the accuracy of negative classifications, we use a different metric called the true negative rate or specificity, which represents the ratio of correctly classified negatives divided by the total negative count. This metric assesses the model's ability to correctly identify negative instances.
In summary, the true positive rate measures the ratio of correctly classified positive instances to the total positive count and provides insights into a model's effectiveness in identifying positive cases accurately.
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what is the value of x ?
Answers
Answer:
10
Step-by-step explanation:
Which parent functions go through the origin? Select all that apply.
A. Cubic
B. Reciprocal
C. Quadratic
D. Absolute value
E. Linear
F. Cube root
Answers
Answer:
A, C, D, E, F
Step-by-step explanation:
A parent cubic function goes through the origin because its parent function y=x^3 means you can plug in (0,0) as 0=0^3.
A reciprocal function does not go through the origin because its parent function y=1/x does not allow (0,0) to be plugged in as you cannot divide by 0.
A parent quadratic function goes through the origin because its parent function y=x^2 means you can plug in (0,0) as 0=0^2
A parent absolute value function goes through the origin because its parent function y=|x| means you can plug in (0,0) as 0=|0|
A parent linear function goes through the origin because its parent function y=x means you can plug in (0,0) as 0=0
A parent cube root function goes through the origin because its parent function y=cbrt(x) means you can plug in (0,0) as 0=cbrt(0)
The parent function is the base of a function family.
The functions that go through the origin are:
A. Cubic C. Quadratic D. Absolute value E. Linear F. Cube rootThe origin is represented as: (0,0)
A. Cubic function
A cubic function is represented as:
\(y = x^3\)
Substitute 0 for x
\(y = 0^3\)
\(y = 0\)
This means that it passes through origin at (0,0)
B. Reciprocal function
A reciprocal function is represented as:
\(y =\frac 1x\)
Substitute 0 for x
\(y =\frac 10\)
\(y = und efine d\)
This means that it does not pass through origin at (0,0)
C. Quadratic function
A quadratic function is represented as:
\(y = ax^2\)
Substitute 0 for x
\(y = a \times 0^2\)
\(y = 0\)
This means that it passes through origin at (0,0)
D. Absolute function
An absolute function is represented as:
\(y = |x|\)
Substitute 0 for x
\(y = |0|\)
\(y = 0\)
This means that it passes through origin at (0,0)
E. Linear function
A linear function is represented as:
\(y = mx\)
Substitute 0 for x
\(y = m \times 0\)
\(y = 0\)
This means that it passes through origin at (0,0)
F. Cube root function
A cube root function is represented as:
\(y = \sqrt[3]{x}\)
Substitute 0 for x
\(y = \sqrt[3]{0}\)
\(y = 0\)
This means that it passes through origin at (0,0)
Hence, the base functions of all the function except the reciprocal function pass through the origin
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geometry?????? help please
Answers
Answer:
74 degrees
Step-by-step explanation:
180-59-47=74
Two step in equalities
2x<8
Answers
Answer:
Step-by-step explanation:
8*2= 2>answer
Please help quickly!
Use the figure below to answer questions 18-21
Answers
Answer:
Step-by-step explanation:
18. m∠1 = 104°
19. m∠2 = 79°
20. m∠3 = 65°
21. m∠5 = 73°
A hemisphere fits snugly inside a cylinder with a radius of 8 cm. A cone fits snugly inside the same hemisphere.
a. What is the volume of the cylinder?
b. What is the volume of the cone?
c. Estimate the volume of the hemisphere by calculating the average of the volumes of the cylinder and cone.
Answers
Answer:
guys i have no idea
Step-by-step explanation:
The volumes of the cylinder, the cone and the hemisphere are 512π cm³, 170.6π cm³ and 341.3π cm³ respectively.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, a hemisphere fits snugly inside a cylinder with a radius of 8 cm. A cone fits snugly inside the same hemisphere.
Since, all of them are tightly packed in one another therefore, radius of all them will be equal,
And, and the radius of the cylinder is 6 cm, the radius of the hemisphere equals the radius of the cylinder. Also, the height of the cylinder equals the radius of the hemisphere.
r = radius of cylinder = 8 cm and
h = height of cylinder = radius of hemisphere = 8 cm
We know that,
Volume of a cylinder = π × radius² × height
Volume of a cone = 1/3 × π × radius² × height
Therefore,
a) The volume of cylinder =
π × 8² × 8 = 512π cm³
b) The volume of cone =
1/3 × π × 8² × 8 = 170.6π cm³
c) Volume of the hemisphere = (512π + 170.6π) / 2
= 341.3π cm³
Hence, the volumes of the cylinder, the cone and the hemisphere are 512π cm³, 170.6π cm³ and 341.3π cm³ respectively.
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Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.64% of women in the sample are the primary investor in their household.
There is an association between U.S. women and being the primary investor in their household.
Answers
The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.
What will the inference be?This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.
According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.
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What is 475. 189 475. 189 rounded to the nearest hundredth?
Answers
After rounding 475.189 to the nearest hundredth we get 475.19 .
Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.
Rules of rounding a number to its nearest hundredth is,
The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.
If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.
And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.
Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit) by 1 we get 475.19 (to the nearest hundredth).
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in a certain flock of sheep, 4 percent of the population has black wool and 96 percent has white wool. assume that the population is in hardy-weinberg equilibrium. what percentage of the population is homozygous for white wool? responses 20% 20% 40% 40% 64% 64% 80% 80% 96%
Answers
80% homozygous recessive.
In this scenario, 80% of the population is homozygous for white wool.
This is because in Hardy-Weinberg equilibrium,
the homozygous recessive trait (white wool in this case) is twice as common as the heterozygous trait (black wool in this case).
Therefore, 4% (heterozygous) x 2 = 8%, plus 96% (homozygous dominant) = 80% homozygous recessive.
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Write the equation of the line that passes through the points (0,–2) and (4,5). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
5+2/4-0=7/4
7/4=y+2/×-0
y=7x/4-2
Answer:
y+2=7/4(x+0)
1. Find the surface area of the Rectangular Prism. 12 cm 28 cm 22 cm
Answers
Answer:
The awnser is 2432
Step-by-step explanation:
12x28x22= 2432
Given that ABC~XYZ find the scale factor then set up a proportion and solve for X
Answers
The scale factor is given as follows:
5/3.
The value of x is given as follows:
x = 7.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Equivalent side lengths for this problem are given as follows:
YZ and BC.
Hence the scale factor is given as follows:
10/6 = 5/3.
Then the value of x can be obtained as follows:
(12x - 59)/(2x + 1) = 5/3
Applying cross multiplication, we have that:
3(12x - 59) = 5(2x + 1)
26x = 182
x = 182/26
x = 7.
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Q3 The following diagram represents the positions and
bearings of three buoys floating in the ocean.
[a] How far west is Buoy B from Buoy C.
[b] How far east is Buoy A from Buoy B.
[c] How far north is Buoy C from Buoy A.
N
Buoy B
N
077⁰
240m
345m
N
314⁰
Buoy A
Buoy C
Q4 A ship sails on a bearing of 074° for 10 miles followed by a
bearing of 131° for 15 miles. Work out the bearing of the
ship from its starting position to the nearest degree.
![Q3 The following diagram represents the positions andbearings of three buoys floating in the ocean.[a]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5aQlGRjgYTWQ8RNC86Md4BrOKhG4oJGV.png)
Answers
A ship sails from port a, on a bearing of 050, to port b which is 80km to the east of a. it then sails on a bearing of 062 for 72km until it reaches pot c. West is 270 degrees. Hence Answer would be 80 km.
6.
Given the functions h(x) = kx +3 and j(x) = [x],
which value of x makes h(x) = j(x)?
A. -2
B. 2
C. 3
D. -6
Answers
Answer:
-2
Step-by-step explanation:
maybe?
Answer:
C ang sagaot sure ako nagaaral ako nyan
what is a simplified fraction of -4/17?
Answers
Next year, the company expects to have a production represented by the equation y = 4x.
Which of the following describes how the graph of the line would change if the company meets its goal?
A.
The line will be shifted up four units.
B.
The line will be shifted up two units.
C.
The slope of the line will be half as steep.
D.
The slope of the line will be twice as steep.
Answers
If we invest $100,000 today in an account earning 7% per year,
how many years until we have $500,000? Round to two decimals.
Answers
It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.
To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment ($500,000)
P = the initial principal amount ($100,000)
r = the annual interest rate (7% or 0.07)
n = the number of times that interest is compounded per year (assuming annually, so n = 1)
t = the number of years
Plugging in the values we know, we get:
$500,000 = $100,000(1 + 0.07/1)^(1*t)
Dividing both sides of the equation by $100,000 and simplifying:
5 = (1.07)^t
To solve for t, we can take the logarithm of both sides:
log(5) = log[(1.07)^t]
Using logarithmic properties, we can bring down the exponent:
log(5) = t * log(1.07)
Finally, we can solve for t by dividing both sides by log(1.07):
t = log(5) / log(1.07)
Using a calculator, we find:
t ≈ 19.65
Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.
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10 = 8x
What is the value of x?
Answers
x = 10 / 8 = 5/4 = 1.25 is the answer
What are the zeros of f(x)=x²-8x+15?
A. x=3 and x = 5
B. x= -5 and x = -3
C. x = -5 and x = 3
D. x = -3 and x = 5
Answers
The zeros of the function f(x)=x²-8x+15 are x = 3 and x = 5. Option A
How to determine the valuesFrom the information given, we have that the quadratic equation is given by the function;
f(x)=x²-8x+15
Using the factorization method, we have to multiply the coefficient of x² by the constant 15
Then move further to find the pair factors of 15 that add up to -8
Substitute the value, we get;
x² - 5x - 3x + 15
Pair the expression
(x² -5x) - (3x + 15)
factorize
x(x -5) - 3(x-5)
Then,
x - 3
x = 3
And
x = 5
Hence, the values are 3 and 5
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Using Ohm’s law, work out the following basic formula’s. V = 2
Amps × 6 Ohms I = 12V ÷ 6R R = 12V ÷ 4I
Answers
The answers to the given formulas are as follows:
1. V = 2 Amps × 6 Ohms
2. I = 12V ÷ 6R
3. R = 12V ÷ 4I
1. Using Ohm's law, the formula V = I × R calculates the voltage (V) when the current (I) and resistance (R) are known. In this case, the given formula V = 2 Amps × 6 Ohms simplifies to V = 12 Volts.
2. The formula I = V ÷ R determines the current (I) when the voltage (V) and resistance (R) are known. In the provided formula I = 12V ÷ 6R, we can rewrite it as I = (12 Volts) ÷ (6 Ohms), resulting in I = 2 Amps.
3. Lastly, the formula R = V ÷ I calculates the resistance (R) when the voltage (V) and current (I) are known. The given formula R = 12V ÷ 4I can be expressed as R = (12 Volts) ÷ (4 Amps), leading to R = 3 Ohms.
By applying Ohm's law, these formulas allow for the calculation of voltage, current, or resistance in a circuit when the other two values are given.
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what is 2x+5=17
need step by step explanation
Answers
Answer: \(x=6\)
Step-by-step explanation:
\(2x+5=17\)
\(-5=-5\)
_________
\(2x=12\)
\(\frac{2x}{2}= \frac{12}{2}\)
\(x=6\)
Answer:
X=6
Step-by-step explanation:
Subtract 5 from 5 to get 2x=17
Subtract 5 from 17 aswell to get 2x=12
Devide both sides by 2 to get x=6
Calculate the number of expected double crossover progeny- Express your answer to the nearest whole number: 3uCF Previous Answers Correct To calculate the expected number of double crossovers use the product law: Multiply the single crossover probabilities and then multiply by the tota number of progeny: Using the map distances provided, the expected number of double crossovers is 0.305 x 0.155 x 1000
Answers
The number of expected double crossover progeny when multiply by the total number of progeny is 47.
When chromosomal pieces are swapped out twice, it is known as a double crossover. In the case of a double crossing, the two ends of the chromosome are still parental, but another sister chromatid sequence has "swapped" into the space between the crossovers;
When homologous chromosomes are combined, crossovers happen.
Chromatids from various chromosomes can be aligned. Exchange chromatids from, for example, segments a collision between two identical chromosomes occurs at an similar spot along their respective lengths. they are After swapping the segments, the chromatids have split between the point of contact and the chromatids' tips.
We have,
number of double crossovers is 0.305 x 0.155 x 1000
so 0.305 x 0.155 x 1000 = 47
So number of expected double crossover progeny is 47.
Test cross:
Progeny whithered wing smooth body and speck body
Genetic distance between sm and sp is 15.5
15.5 = 2x + 33 /1000 x 100
155 = 2x + 33
2x = 155-33
x = 122/2
x = 61.
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simplify the expression: 3x + 7y - 5x + 9x - y
Answers
Step-by-step explanation:
10x+4y.............
Answer:
B. 7x + 6y
Step-by-step explanation:
3x + 7y -5x +9x -y
= (3x - 5x +9x) + (7y - y)
= 7x + 6y
A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using f (x) = StartFraction 200 + 3.10 x Over x EndFraction. Which statement is true? The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases. The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases. The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases. The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
Answers
Answer:
A: The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
Step-by-step explanation:
The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
What is the horizontal and vertical asymptotes?"Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to (+ ∞) or (− ∞). As the name indicates they are parallel to the x-axis.
Vertical asymptotes are vertical lines (perpendicular to the x-axis) near which the function grows without bound."
Given equation for the average cost to make 'x' units is:
f(x) = (200 + 3.10x)/x
We can find the horizontal asymptote in the below mentioned way:
Here, f(x) = (200 + 3.10x)/x
⇒ y = (200 + 3.10x)/x
Now, taking the terms with the biggest exponents of 'x', we get:
⇒ y = (3.10x)/x
Now, the horizontal asymptote can be observed by ignoring the all the 'x': Therefore, y = 3.10
Similarly, we can find the vertical asymptote in the below mentioned way:
The given equation is:
f(x) = (200 + 3.10x)/x
Now, we have to take the denominator as zero.
Therefore, f(x) = (200 + 3.10 x)/0
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Todd is a salesperson he sold a crystal sculpture for $58 and earned 15% commission. how much commission did Todd earn.
Answers
Answer:
$8.70
Step-by-step explanation:
He earned 15% of 58...so that's 8.70. (checked with a calculator)
Ms. Lopez is creating posters to decorate
her classroom. She uses 0.25 ounce of paint
per poster. If she has 4.05768 ounces of
paint, how many posters can she make?
Answers
on a nationwide math test, the mean was 69 and the standard deviation was 7. if roberto scored 85, what was his z-score?
Answers
Roberto's z-score is approximately 2.29. This means that his score is about 2.29 standard deviations above the mean.
A z-score (also known as a standard score) is a measure of how many standard deviations a data point is away from the mean of a distribution. It is used to standardize data so that we can compare values from different distributions.
For example, if a student's score on a test is 80 and the mean score is 75 with a standard deviation of 5, the z-score for the student's score would be:
z = (80 - 75) / 5
z = 1
This means that the student's score is one standard deviation above the mean.
To find Roberto's z-score, we can use the formula:
(x - μ) / σ
where x is Roberto's score, μ is the mean of the test, and σ is the standard deviation of the test.
We are given that the mean was 69 and the standard deviation was 7. Roberto scored 85. So we can plug in these values into the formula and solve for z:
z = (85 - 69) / 7
z = 16 / 7
z ≈ 2.29
Therefore, Roberto's z-score is approximately 2.29.
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7(x + 4) + 5(x-6) please expand and simplify
Answers
Answer:
12x − 2
Step-by-step explanation:
7(x+4)+5(x−6)
Distribute:
=(7)(x) + (7)(4) + (5)(x) + (5)(−6)
=7x + 28 + 5x − 30
Combine Like Terms:
=7x + 28 + 5x − 30
=(7x+5x) + (28−30)
= 12x − 2
Answer:
multiply it out
7x + 28 + 5x - 30
combine like factors
12x - 2
Jada drew triangle ABC. If angle B is a right angle, what are possible measures for the other two angles?
angle A:
Answers
The possible measures for the other two angles will be that the sum of that angle must be 90 degree.
A triangle is considered to be 3-sided polygon in some cases Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are given that one of the angles of the given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,
=>A+B+C = 180
=>A+90+C= 180
=>A+C= 180-90
=>A+C=90
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