The unsigned base 9 equivalent of the unsigned decimal integer value is 2233322
Decimal is a base 10 number system that we use in our daily lives to represent numbers.
In this case, the decimal number 6239124 is being converted to an unsigned base 9 equivalent.
To do this, we first divide the decimal number by 9 to get the first digit of the base 9 equivalent.
In this case, 6239124 divided by 9 is 693234 with a remainder of 2. So, the first digit of the base 9 equivalent is 2.
Next, we take the result of the division
=> (693234) / 9 = 76803 with a remainder of 3.
So, the second digit of the base 9 equivalent is 3.
We repeat this process until the result of the division is 0.
The final result is the base 9 equivalent of the decimal number 6239124. In this case, the base 9 equivalent is 2233322.
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3. A bicycle wheel has a radius of 225 mm and has 25 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3.14 for pie Show your work.
Answer: 56.52mm
Step-by-step explanation:
The circumference of the wheel is:
C = 2 * pi * r
C = 2 * 3.14 * 225
C = 1413 mm
And the arc length between each spoke would then be:
Arc Length = C / 25
Arc Length = 1413 / 25
Arc Length = 56.52 mm
Rounding to the nearest hundredth, the approximate arc length between each spoke is 56.52 mm.
Find the length of the third side. If necessary, round to the nearest tenth. With 8 and 6
Answer:
10
Step-by-step explanation:
You need to use the Pythagorean Theorem for this problem since you're solving for the lengths of a right triangle:
A right triangle is a triangle that has a 90-degree angle.
Let's say the side lengths are a, b, and c.
According to the Pythagorean Theorem, the way to relate a, b, and c is:
a^2 + b^2 = c^2 ==> c is the hypotenuse (the diagonal line on the triangle)
We already know a and b since they're given:
a=6 and b=8
Just apply these known values to the Pythagorean theorem:
6^2 + 8^2 = c^2 ==> solve for c
36 + 64 = c^2 ==> simplify
100 = c^2
c = 10 ==> take the square root on both sides
Answer: 10
question 1 what is quantitative data?
The quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value.
What is the data?Data in math is a collection of facts and figures that can be in any form numerical or non-numerical. Numerical data is the one you can calculate, and it is always collected in number form, such as scores of students in class, wages of workers in an organization or height of players on a football team, etc.
Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.
Therefore, the quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value.
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Where is the answer key to the 4-2 additional practice isosceles and equilateral triangles worksheet
I can only draw the conclusion that if a triangle is equilateral, then it is describing various based on the previous statement, "If a triangle is isosceles, it is then equilateral."
What do the terms "isosceles" and "equilateral" mean?Equilateral describes a triangle that has three equal sides. A triangle is referred to as isosceles if two of its sides are equal.
An equilateral triangle in geometry is a triangle whose sides are all of the same length. Since the three sides are equal, the three angles that are opposite the equal sides are also equal. As a result, it is also known as an equiangular triangle because each angle is 60 degrees.
The length of each side is the same. Two sides of an isosceles triangle are of equal length. Scalene triangle: Each side measures a different distance.
A triangle with two equal sides is called an isosceles triangle. Additionally, the two angles that face the two equal sides are also equal. To put it another way, "An isosceles triangle is a triangle with two congruent sides."
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How do I solve for y
y = x + 1,If you know the value of x, you can solve for y by plugging the value of x into the equation and then solving for y. if x = 4,y = 4 + 1y = 5.
What is the equation ?The equation is a mathematical expression that consists of symbols and numbers, and is used to calculate a numerical value or result. The symbols in the equation represent variables or constants, which are either given values or unknowns that need to be solved. An equation can also be used to describe relationships between different concepts, such as physical laws or chemical reactions.
y = 2x - 5
To solve for y, rearrange the equation to isolate y on one side. Subtract 2x from both sides to isolate y on the left side:
y - 2x = -5
Now add 2x to both sides to get y by itself on the left side:
y = 2x - 5
Therefore, the solution for y is 2x - 5.
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what is the probability that one or more of the children is a carrier of the recessive allele? hint: the probability that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier.
The probability is [tex]\frac{17}{27}[/tex] that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier.
Two parents who are each known to be carriers of an autosomal recessive allele have four children. None of the children has the recessive condition.
Parents : Aa × Aa
Gametes: A a
A AA Aa
a Aa aa (affected)
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%Probability of normal carriers = [tex]\frac{2}{3}[/tex]
Probability of normal non carriers = [tex]\frac{1}{3}[/tex]
(Because 3 individuals are normal)
Probability that one or more children are carriers =
(One is carrier × 3 are non carriers) + (2 carriers × 2 non carriers) + (3 carriers × 1 non carrier) + (4 carriers)
= ([tex]\frac{2}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × 1/3) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex])
[tex]=\frac{2}{81}+\frac{4}{81}+\frac{8}{81}+\frac{16}{81} =\frac{10}{27}[/tex]
[tex]=1-\frac{10}{27} \\[/tex]
[tex]=\frac{27-10}{27} =\frac{17}{27}[/tex]
Therefore, the probability is [tex]\frac{17}{27}[/tex]
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A drone descends into a mining
cave. The graph relates its distance
below ground to time. Write an
equation that describes the
relationship.
Distance (m)
oty
-250
-500
-750
-1000
Drone's Descent
1 2 3 4
Time (s)
Answer:
The equation that describes the relationship between the distance below ground and the time for the drone's descent is: Distance = -250m - 500m(Time-1).
In a study of heart surgery, one issue was the effect of drugs called beta-blockers on the pulserate of patients during surgery. The available subjects were divided at random into twogroups of 30 patients each. One group received a beta-blocker; the other group received aplacebo. The pulse rate of each patient at a critical point during the operation was recorded.The treatment group had mean 65.2 and standard deviation 7.8. For the control group, themean was 70.3 and the standard deviation was 8.3.Perform an appropriate significance test to see if beta-blockers reduce the pulse rate.a. Identify the populations and parameters of interest. Then state hypotheses.b. State and verify conditions for carrying out a significance test.c. Calculate the test statistic and the P-value.d. What conclusion would you draw?
The populations of interest are the 30 patients in the treatment group and the 30 patients in the control group. The parameter of interest is the pulse rate at a critical point during the operation
a. Identify the populations and parameters of interest. Then state hypotheses.
The populations of interest are the 30 patients in the treatment group and the 30 patients in the control group. The parameter of interest is the pulse rate at a critical point during the operation. The null hypothesis is that beta-blockers do not reduce the pulse rate, while the alternative hypothesis is that beta-blockers do reduce the pulse rate.
b. State and verify conditions for carrying out a significance test.
The conditions for carrying out a significance test are that the data must be sampled randomly, the samples must be independent, the data must be normally distributed, and the sample sizes must be equal. The data in this study was randomly sampled, the samples are independent, and the sample sizes are both 30. However, we cannot assume that the data is normally distributed without testing.
c. Calculate the test statistic and the P-value.
The test statistic is calculated using the formula t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2), where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes. In this case, t = (65.2 - 70.3) / sqrt(7.8^2/30 + 8.3^2/30) = -5.45. The P-value is calculated by finding the probability of obtaining a result at least as extreme as the observed one if the null hypothesis is true. In this case, the P-value is 0.000003.
The populations of interest are the 30 patients in the treatment group and the 30 patients in the control group. The parameter of interest is the pulse rate at a critical point during the operation
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In problems 5-11, write complete proofs.
5.
Given:
WX = YZ
Prove:
YZ + XY = WY
We can use the distributive property to expand the left side of the equation, which will give us YZ + XY.
What is the property ?Property is a term used to describe an individual's ownership of something tangible or intangible. Property can include real estate, such as a house or land, or personal property, such as furniture, vehicles, and jewelry. Property can also include intangible items such as copyrights, patents, trademarks, and trade secrets. When property is owned, it is the responsibility of the owner to protect it from damage, destruction, theft, or other losses.
We can then use the given equation to substitute WX for YZ on the right side, which will give us WY. Therefore, YZ + XY = WY.
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Please help me out. And i will give you 20 points.
The slope intercept forms of the values are: 1) y--10x -3 (2) y7x+5 (3) y =9/5-4 (4) -5x/4 +5
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope,
The slope-intercept forms of the values are
1) y--10x -3
2) y7x+5
3) y-9/5-4
4) -5x/4 +5
5) Slope is determined by:
a) (7+6)/(-11-17) =13/-18
b) (-5-4) / (-4-3) = -9/-7 = 9/7
c) (15-14) / (11+20) = 1/31
d) (-7+18) / (-1-11) =11/-12
The slopes of the equations are 1) y=2/3x -2 The slope is 2/3
2) y = 9/5x -5 = The slope is 9/5
3) y = -1/2x -2 the slope is -1/2
4) y = -x -1: the slope is -1
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What about this one? 22 POINTS! SCREENSHOT* WHERE DO I PUT THE DOTS?!?!?!?!?!
Answer:
This time, ratio is 4:1 for you and 24:5 for your friend
Step-by-step explanation:
For You: Using the same method, join (4,1) and (8,2) with a line and extend it
For your friend: Take (24,5) and (48,10), extend line joining them
Done!
Edit: I took the time variable for the y axis, here's the right graph
Answer: in the graph.
Step-by-step explanation:
When you look at the graph you see time is the x axis and cubes are on the y axis. So your first point is (2, 8) for two hours:8 cubes. From zero, go right 2 and up 8 and place your point. From there go right 2 and up another 8 for your 2nd point. Draw your line. For your second line, 5 hours: 24 cubes, so your first point is right 5 and up 24, place your dot. From there, go right 5 and up 24, draw your dot. Now draw your second line. Graph attached.
The product of (px + qy)(ax − by) is
Answer:
The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.
Step-by-step explanation:
Answer: apx^2-bpxy+aqxy-bqy^2
Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.
Can someone help me pls
Answer:
136
Step-by-step explanation:
calculating each area as shown in the picture above
What is the solution to the compound inequality in interval notation?
3(2x+1)>9 OR x+2≤−4
Answer choices
(−∝,−6) or (1, ∝)
(−∝,−6) or (1, ∝)
[−6, 1)
(−∝, −6] or (1, ∝)
The solution to the compound inequality in interval notation
( -∞, -6] or (1, ∞). So option D is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
Two expressions,
⇒ 3(2x+1) > 9
x+2 ≤ −4
Further, solving both the expressions
3(2x+1) > 9
2x+1 > 9/3
2x > 3 - 1
x > 2/2
x > 1
⇒ x+2 ≤ −4
x ≤ -4 -2
x ≤ -6
( -∞, -6] or (1, ∞)
Hence, the interval is ( -∞, -6] or (1, ∞)
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Can somebody please just help me with this math problem. I have to turn this in tomorrow please
Answer:
Step-by-step explanation:
A. 96 hotdogs is 12 packs of hot dogs because 96/8 = 12
so 12 x 3.96 is $47.52 which is the amount for 96 hot dogs
B. 96 hotdogs is 12 packs of hotdogs
12 * 4.49 = $53.88
Answer: 10 for A
Step-by-step explanation: Because I know
Marriage According to a Pew Research survey, about 27% of American adults are pessimistic about the future of marriage and the family. This is based on a sample, but assume that this percentage is correct for all American adults.
a) Using a binomial model, what is the probability that, in a sample of 20 American adults, 25% or fewer of the people in the sample are pessimistic about the future of marriage and family?
b) Now use a Normal model to compute that probability. How does this compare to your answer from part a?
c) Using a Binomial model, what is the probability that, in a sample of 700 American adults, 25% or fewer of the people of the people in the sample are pessimistic about the future of marriage and family?
d) Now use a Normal model to compute that probability. How does this compare to your answer from part c?
e) What do these answers tell you about the importance of checking that np and nq are both at least 10?
By using the binominal model, the people in the sample are pessimistic about the future of marriage and family is 0.039.
A Binomial model is a mathematical model used to calculate the probability of a specific number of successful outcomes in a set number of trials
The normal model is used to compute the probability of a certain outcome occurring when the population size is much larger.
With a sample of 700 American adults, the probability of 25% or fewer of the people in the sample being pessimistic about the future of marriage and the family would be 0.039.
These answers demonstrate the importance of verifying that np and nq are both at least 10.
If either one is below 10, the binomial model would not be an accurate representation of the probability.
On the other hand, the normal model does not have this limitation and can be used to calculate the probability even when np or nq is below 10.
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-9(w-4)=54
solve for w
Answer:
w = -2
Step-by-step explanation:
Distribute the -9 on the left side of the equation:
-9w + 36 = 54
Add 9w to both sides of the equation:
36 = 54 + 9w
Subtract 54 from both sides of the equation:
-18 = 9w
Divide both sides of the equation by 9:
w = -2
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies directly as x, and y=5 when x=8 find y when x=4 HURRY PLS TIMER
Answer:
The constant of variation for direct variation is k = y/x.
So we have k = y/x = 5/8
To find y when x = 4, we can use the equation y = kx.
y = kx = (5/8) * 4 = 5
So when x = 4, y = 5
a partial relative frequency distribution is given. class relative frequency a 0.22 b 0.18 c 0.43 d (a) what is the relative frequency of class d?
The relative frequency of class D is 0.35.
The number of times an event occurs is called a frequency. Relative frequency is an experimental one, but not a theoretical one. Since it is an experimental one, it is possible to obtain different relative frequencies when we repeat the experiments.
The ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes gives the value of relative frequency.
Consider the given partial relative frequency distribution.
Class Relative frequency
A 0.22
B 0.18
C 0.43
D
Then,
We need to find the relative frequency of class D
We know that,
Sum of relative frequency is equal to one.
that is.
[tex]$0.22+0.18+0.25+$[/tex] relative frequency of class D=1
0.65 + relative frequency of class [tex]$\mathrm{D}=1$[/tex]
relative frequency of class D=1-0.65
=0.35
We get,
Relative frequency of class D Is 0.35
Therefore, the relative frequency of class D is 0.35
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4. Elianni has a bucket with a 5-gallon capacity. Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. How many gallons of soapy water are in Elianni's bucket? Show your work.
4.part 2 How many more quarts of soapy water will the bucket hold? Show your work.
(middle school)
1) The number of gallons of soapy water that are in Elianni's bucket are; 1.5 gallons
2) The number of more quarts that it can hold is; 14 more quarts
How to solve Algebra Word Problems?Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. From conversion factors, we know that;
1 pint = 1/8 gallon
Thus;
12 pints = 12 * (1/8)
12 pints = (12/8) gallons
= 3/2 = 1.5 gallons.
Due to the fact that the bucket is 5 gallon capacity, It can hold:
5 - 1.5 = 3.5 gallons more.
But from conversion factors, we know that;
1 gallon = 4 quarts.
Thus;
3.5 gallons = 3.5 * 4
= 14 quarts more.
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if an urn contains 3 green balls and 2 orange balls, and if i draw from the urn with replacement, which equation yields the probability of drawing a total of 3 orange balls and 2 green balls?
The probability of drawing a total of 3 orange balls and 2 green balls = 5/2(0.6)sqaure*(1-0.6)cube
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
here we will use binomial distribution formuale
p(x)= (n/x) px.qn-x
where , p = probability of success in a single trail
q = 1-p probability of failure in one trail
n = total number of trail or number of total sample
x= number of success desired
now total number of ball contain =5
and let define probability of success is drawing 2 green ball
so probability of drawing a green ball (p) =3/5
=0.6
and we need this favouable results 2 times
so x = 2
and q = 1- p = (1-0.6)
so putting value of p, q ,x,m,n above formula we get
(n/x) px.qn-x
5/2(0.6)sqaure*(1-0.6)cube
The possibility of getting all three orange balls and two green balls in a row
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With out uing dividing power of 10 to write three diviion expreion that are each eqvilent to 35. 78 / 6
Three division expressions that are equivalent to 35.78 ÷ 6 without using the dividing power of 10 are 357.8 ÷ 60, 17.89 ÷ 3, and 14.908 ÷ 2.5.
Three division expressions that are equivalent to 35.78 ÷ 6 without using the dividing power of 10 can be written as follows:
357.8 ÷ 60
In this expression, we multiply both 35.78 and 6 by a factor of 10 so that the decimal is removed, making the division much easier. The expression becomes 357.8 ÷ 60, which can be calculated easily. The answer can be written back in decimal form by dividing 357.8 by 60 and then multiplying by 0.1 (which is the reciprocal of 10).
17.89 ÷ 3
In this expression, we divide both 35.78 and 6 by 2, which gives us 17.89 and 3. The expression becomes 17.89 ÷ 3, which can be calculated easily. The answer can be written back in decimal form by dividing 17.79 by 3 and then multiplying by 2.
14.908 ÷ 2.5
In this expression, we divide both 35.78 and 6 by 2.4, which gives us 14.908 and 2.5. The expression becomes 14.908 ÷ 2.5, which can be calculated easily. The answer can be written back in decimal form by dividing 14.908 by 2.5 and then multiplying by 2.4.
In each of these three expressions, the result is equivalent to 35.78 ÷ 6 without using the dividing power of 10. The dividing power of 10 is a helpful tool in mathematics, but it is not always necessary to use it in order to solve a division problem.
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Find a the slope of the line that pass through (7,-13) and (87, 53)
Answer: The answer is 1.7 or 1 7/10.
Step-by-step explanation:
The entered points belong to an increasing, linear function.Equation: y = 1.7x + 75.1.
d = √(Δy2 + Δx2) = √(-342 + -202) = √1556 = 39.44617
Triangle A"B"C" is formed using the translation (x+2, y + 0) and the dilation by a scale factor of
AB?
A"B"
O
A
AB
.
-
AB
A"B"
AB
2
A"B"
2
112
from the origin. Which equation explains the relationship between AB and A”B”?
Answer:
The equation that explains the relationship between AB and A”B” is AB = 2A”B”. This equation is based on the transformation of a triangle ABC into a triangle A”B”C” using the translation (x+2, y+0) and the dilation by a scale factor of 2 from the origin. The translation does not affect the length of AB, but the dilation doubles it, so AB = 2A”B”.
1. Ben earns $6/h baby sitting. He is saving his earnings to buy an MP3 player that costs $360.
a) Write a relation to show how Ben's savings are related to the number of hours he baby sits
b) Make a table to show the amount of savings after baby sitting for 10, 20, 30, 40, and 50 hours.
c) Draw a graph to show the relation. Describe the graph.
d) Use your graph. How much will Ben have saved after baby sitting for 60h?
Please i need the answer this is Lesson 1.6: Graphing Relations
suppose a linear system has more variables than equations. is it possible that it has no solutions? only one solution? infinitely many solutions? explain your answer.
A linear system that has more variables than equations has infinitely many solutions.
A linear equation in n variables has an (n - 1)-dimensional solution space, meaning that there is a subspace in which all solutions to the equation lie.
If a linear system has more variables than equations, then it is likely that there is more than one subspace that satisfies all the equations in the system, resulting in infinitely many solutions.
It is not possible for the system to have no solutions or only one solution because the system is underdetermined, meaning that there are not enough equations to fully determine the values of all the variables.
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There are already 1,600 gallons of water in a swimming pool. If water is filling the pool at a rate of 30 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?
1600 + 30m is the expression indicates the amount of water, in gallons, in the swimming pool after m minutes.
What is Expression?An expression is combination of variables, numbers and operators.
Given that there are already 1,600 gallons of water in a swimming pool.
water is filling the pool at a rate of 30 gallons per minute,
We need to find the expression indicates the amount of water, in gallons, in the swimming pool after m minutes
Let m = number of minutes
The expression will be:
1600 + (30 × m)
1600 + 30m
Hence, 1600 + 30m is the expression indicates the amount of water, in gallons, in the swimming pool after m minutes.
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Alexa has $4.75 worth of dimes and quarters. She has 2 more dimes than quarters. Determine the number of dimes and the number of quarters that Alexa has.
Answer: a number alexa has a number
Step-by-step explanation:
I'm thinking of a number that i le than 40. If you find the greatet common factor of 40 and my number, you get 4
Answer: The number they are thinking of is 4.
Step-by-step explanation: The greatest common factor of 4 is 4 and 4 goes into 40.
find the measure of each angle indicated
The measure of each angles are 80 , 35 and 122 degrees.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given in the figure,
in triangle which contains angles 70 and 30.
let another angle be x .
70 + 30 + x = 180
x +100 = 180
x = 180 - 100
x = 80
And 80 , 65 and another angle be y in another triangle lies on same line
so
80 + 65 + y = 180
y = 180 - 145
y = 35
let another angle be z .
so
z + y + 23 = 180
z = 180 - 58
z = 122
Therefore, The measure of each angles are 80 , 35 and 122 degrees.
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