The values of x which have a mean time no greater than 120 seconds is 1
What is mean?The mean (means the arithmetic mean, different from the geometric mean) of a data value is the sum of all values divided by the total number of values.
The most commonly used measure of central tendency and referred to as the “average.”
We are given that;
Time =120sec
Table
118 129 120 114 x
Now,
The mean value of the table entry;
Mean=(118+ 129+ 120+ 114+ x)/5
Mean= 481+x/5
481+x/5<120
481+x<600
x<119
Therefore, the values by the mean will not be grater than 120 will be 1
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There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Douglas took a slice of pizza, ate it, and then took another slice.
What's the probability of Douglas eating two of the same kinds of pizza?
Answer:
Step-by-step explanation:
well if there are 5 pepperoni pizzas that means that he eats 2 meaning he has 3 pepperoni slices of pizza.
use the rule to complete the table below Multiply by 2 and then add 3
The values in the table are 7, 11, 15, and 19.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We are assuming the table to be:
x value
2 2x2 + 3 = 7
4 4x2 + 3 = 11
6 6x2 + 3 = 15
8 8x2 + 3 = 19
Thus,
The values in the table are 7, 11, 15, and 19.
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A bouncy ball is dropped such that the height of its first bounce is 5 feet and each
successive bounce is 68% of the previous bounce's height. What would be the height
of the 9th bounce of the ball? Round to the nearest tenth (if necessary).
I know, I answer quick. What do you expect I'm Johnny Sins to help you with your homework. :)
Anyways,
The height of the nth bounce can be calculated using the formula:
h_n = h_1 * 0.68^(n-1)
Where h_1 is the height of the first bounce, h_n is the height of the nth bounce, and 0.68 is the percentage of the height lost with each successive bounce.
Substituting the given values, we have:
h_9 = 5 * 0.68^(9-1)
h_9 = 5 * 0.68^8
h_9 = 5 * 0.265
h_9 = 1.325
So the height of the 9th bounce would be approximately 1.3 feet, rounded to the nearest tenth.
_________________________________________________________
Thanks for the support, love you brother!
Love Johnny Sins
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Find the missing variable and indicated
angle measure.
D
X =
7x°
62°
F
E
m
K
Answer:
x = 4
The missing angle is 28°
Step-by-step explanation:
7x + 62 = 90 These angles are complementary which means that they add to 90°
7x + 62 = 90 Subtract 62 from both sides of the equation
7x = 28 Divide both sides by 7
x = 4
πrl,
curved surface area of a cone =
where r is the radius and is the slant height.
Work out the total surface area of the cone
shown below.
Give your answer to 1 d.p.
33 m
6 m
The total surface area of this cone is equal to 735.1 square meters.
How to calculate total surface area of a cone?Mathematically, the total surface area (TSA) of a cone can be calculated by using this mathematical expression:
Total surface area (TSA) of a cone = πr(l + r)
Where:
l represents the slant height of the cone.r represents the radius of the cone.Substituting the given parameters into the total surface area (TSA) (SA) of a cone formula, we have the following;
Total surface area (TSA) of a cone = πr(l + r)
Total surface area (TSA) of a cone = 3.142 × 6 × (33 + 6)
Total surface area (TSA) of a cone = 3.142 × 6 × (39)
Total surface area (TSA) of a cone = 735.1 square meters.
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Anand's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This.
relationship can be represented by the equation y = 7.2x + 55, where y represents
the expected quiz score and a represents hours spent on homework that week. What
is the meaning of the 2-value when y = 77?
The number of hours a student should spend on their homework to expect a
score of 77 on the quiz.
A student's expected quiz score if they spent 77 hours on their homework.
The change in expected quiz score for every additional one hour students spend
on their homework.
A student's expected quiz score if they spent no time on their homework.
Submit Answer
To get 77 marks on a quiz the student has to spend approximately 3 hrs.
The expected quiz score if a student spends no time on homework is 55.
What is meant by a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, occasionally referred to as a "linear equation of two variables."
It is given that y = 7.2x + 55
where y is the expected quiz score.
x is the number of hours spent on homework that week.
If the value of y=77
77=7.2x+55
22=7.2x
x is approximately 3 hrs.
If the student spends no time on their homework:
x=0
y=0+55
y=55.
Therefore to get 77 marks on a quiz the student has to spend approximately 3 hrs.
The expected quiz score if the student spends no time on home work is 55.
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A water well is composed of 28 cements rings with 1.4 m of diameter and 0.2 m height if labour of cost for digging out the well is RS.500 per cubic meter and cost of cement ring is 2500
The total cost of the cement rings for the water well is RS. 70,000. This cost is only for the cement rings and does not include the cost of labour for digging the well.
What is the total cost of the cement rings for the water well?The cost of each cement ring is given as RS. 2500. Since there are 28 cement rings used in the water well, the total cost of the cement rings can be calculated as follows:
Total cost of cement rings = Cost of each cement ring x Number of cement rings used
Total cost of cement rings = 28 x 2500 = RS. 70,000
Volume of the well = [tex]\mathrm{ \pi r^2h = \pi (0.7)^2(5.6) = 9.768m^3 }[/tex]
Cost of digging out the well = 500 x 9.798 = RS. 4,899
Total cost of the well = RS. 74,899
Total cost of cement rings = 2500 x 28 = RS. 70,000
Therefore, the total cost of the cement rings for the water well is RS. 70,000. This cost is only for the cement rings and does not include the cost of labour for digging the well.
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a is directly proportional to the square root of c. w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.
Answer:
W when c = 4 is 0.128.
Step-by-step explanation:
The relationship between A, C and W can be represented by the following equations:
A = k√c
W = m/a^3
Where k and m are constant of proportionality.
Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:
k = 35/√49 = 35/7
Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:
m = 16 * 2^3 = 128
Now we have both k and m, we can find the value of W when c = 4.
A = k * √c = 35/7 * √4 = 10
W = m/a^3 = 128/10^3 = 0.128
So, the value of W when c = 4 is 0.128.
Someone help fast I need the answer (In a live class)
Answer:
216 in^3
Step-by-step explanation:
Volume = 6 in. * 4 in. * 9 in. = 216 in^3
Amy and Tina each buy a coffee.
Amy gets 15p change from £2
Tina gets £2.45 change from £5
How much more does Tina pay than Amy?
Give your answer in pence.
+
Optional working
Answer: 235
3
Р
Tina pays 0.7p more than Amy when buying the coffee.
What is addition and subtraction?The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).
Given that,
Amy gets 15p change from £2. The price of the coffee is:
A = 2 - 0.15
A = 1.85
Tina gets £2.45 change from £5. The price of the coffee is:
T = 5 - 2.45
T = 2.55
The difference in the cost of the coffee is:
T - A = 2.55 - 1.85 = 0.7
Hence, Tina pays 0.7p more than Amy when buying the coffee.
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Question 2 1 pts In a density curve, proportion of data is represented by area above the curve area under the curve: the shape of the curve: intervals of values on the vertical axis_ intervals of values on the horizontal axis. the length of the curve: Question 3 1 pts Which ONE of the following is a correct classification of shapes of density curves? All v Symmetric Uniform Normal All - Nonsymmetric Bell = Normal AIl = Nonsymmetric Symmetric - Normal AII + Bell 7 Symmetric Normal All v Symmetric Bell v Normal All + Uniform Bell 7 Normal
In a density curve, the proportion of data is represented by the area under the curve. So option B is correct.
What is Density curve?The probability that an observation chosen at random falls within a given interval is represented by the area under a density curve, which is a smooth representation of a probability distribution. As a result, the area under the curve between the respective points is proportional to the percentage of data that falls inside a given range.
The area under the curve that directly represents the proportion of data. The intervals of values on the vertical and horizontal axes are used to plot the curve and are important for interpreting the graph, but they do not directly represent the proportion of data. The length of the curve is not relevant for determining the proportion of data, as it can vary depending on the scaling of the graph.
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`h\left(x\right)=\frac{1}{2}x-14`
`h\left(-4\right)=`
Answer:
-16
Step-by-step explanation:
[tex]h\left(x\right)=\frac{1}{2}x-14\\h\left(-4\right)=-4/2-14=-2-14=-16[/tex]
according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate. a system administrator wishes to see if the same percentages hold true for the e-mail traffic on her servers. she randomly selects e-mail messages and checks to see whether or not each one is legitimate. (unless otherwise specified, round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 12.34%). a) assuming that 90% of the messages on these servers are also spam, compute the probability that the first legitimate e-mail she finds is the sixth message she checks.
The probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
What is probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
Here, we have
Given: according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate.
For each message, we have the following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four are all spam, each with a 90% probability.
The fifth is legitimate, with a 10% probability.
P = (0.9)⁴×0.1
P = 0.0656
Hence, the probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
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A dairy spends $21,000 per year to maintain its barns and equipment. It costs $2000 per year to feed and care for each dairy cow. (a)
Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows. E =
(b)
The yearly income I, in dollars, for the dairy comes from milk production, which depends on the number C of dairy cows. Each dairy cow produces 3500 gallons of milk per year, and the dairy sells milk for $2. 00 per gallon. Find a formula that gives I as a linear function of C. I =
Incorrect: Your answer is incorrect. (c)
Determine the smallest number of cows the dairy needs in order to (at least) break even. Your answer should be a whole number. Incorrect: Your answer is incorrect. Cows
a) Formula that gives the total yearly expense as a linear function of the number of dairy cows is E = 21,000 + 2,000C.
b) Formula that gives I as a linear function of C is I = 7,000C. The smallest number of cows the dairy needs to break even is 5.
(a) Let's call the number of dairy cows "C".
The yearly expense for maintaining the barns and equipment is a fixed cost of $21,000.
The yearly expense for feeding and caring for each dairy cow is $2,000.
To find the total yearly expense, we can add the fixed cost of maintaining the barns and equipment to the variable cost of caring for the cows:
E = 21,000 + 2,000C
This is a linear equation that gives the total yearly expense as a function of the number of dairy cows.
(b) Each dairy cow produces 3,500 gallons of milk per year.
The dairy sells milk for $2.00 per gallon.
To find the yearly income for the dairy, we can multiply the number of gallons of milk produced by the price per gallon:
I = 2.00(3,500)C = 7,000C
This is a linear equation that gives the yearly income as a function of the number of dairy cows.
To determine the smallest number of cows the dairy needs in order to break even, we need to find the point where the yearly income is equal to the yearly expense.
Setting I = E, we get:
7,000C = 21,000 + 2,000C
Simplifying and solving for C, we get:
5,000C = 21,000
C = 4.2
Since we cannot have a fraction of a cow, we round up to the nearest whole number.
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A survey was conducted among a group of employees to find the average time they spent online each day. The answers of the employees (in minutes) are shown in the box. 25, 45, 60, 30, 35, 20, 40, 45, 15, 30 Which of these scales would be most appropriate on the y -axis to represent this data on a bar graph? Responses
An appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Since the data represents the average time employees spent online, the y-axis of the bar graph should represent time in minutes.
To choose an appropriate scale for the y-axis.
we need to consider the range of values in the data set.
The lowest value is 15 minutes
and the highest value is 60 minutes
Range of values is 60 - 15 = 45 minutes.
It's best to choose a scale that divides the range of values into equal intervals.
One possible option is to use a scale where each unit represents 5 minutes of time. This would allow us to represent the data accurately without making the bars too small or too large.
Therefore, an appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.
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simplify 3 to the -2 power
Answer: 0.1 decimal 1/9 fraction
Step-by-step explanation:
Answer:
0.1 or 1/9 i think so but I am sure
The height of a hill, h(x), in a painting can be written as a
function of x, the distance from the left side of the
painting. Both h(x) and x are measured in inches.
h(x) = -(x)(x-13)
Mark this and return
4
What is the height of the hill in the painting 3 inches from
the left side of the picture?
O 6 inches
O
13 inches
O 30 inches
O 150 inches
Save and Exit
Next
Submit
The height of the hill in the painting 3 inches from the left side of the picture is 30 Inches. Option C
How to determine the height
From the information given, we have that;
h(x) represents the height of a hill, h(x), in a paintingx represents the distance from the left side of the paintingBoth the height and the distance are measured in inchesWe also have that the function is;
h(x) =-(x)(x-13)
Given that the distance is 3 inches
Substitute the values, we have;
h(3)= -(3)(3-13)
substract the values
h(3) = (-3)(-10)
multiply the values
h(3) = 30 inches
Hence, the value is 30 inches
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In a class & 60 students the most number of students who passed Ga is 6 more than the number that passed fante. Every student passed at least one of the two subjects and 8 students passed both subjects (1) How many students passed Ga?
Answer: 37
Step-by-step explanation:
let x be the number of students who pass "fante". Then the number of students who passed "Ga" will be x + 6.
with the added information that 8 students passed both we can say:
(x + x + 6) - 8 = 60
2x + 6 = 68
2x = 62
x = 31
.: x + 6 = "only Ga pass" = 37
The question does not make it clear if it is asking for students who *only* passed Ga, or students who passed Ga + those who passed both. I'll assume the former though. Otherwise the answer would be 37 + 8 = 45 students
John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul runs is 5:8.
Which statement correctly represents the situation?
The statement correctly represents the situation is "Paul runs 5/8 mile for every one mile that John runs".
How to determine which statement correctly represents the situation?Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.
The ratio of the number of runs that John and Paul do is 5:8, which means that for every 5 runs that John does, Paul does 8 runs.
Let J and P number of miles John and Paul run respectively. We can write:
P : J = 5 : 8
P / J = 5 / 8
P = (5/8)J
Therefore, Paul runs 5/8 mile for every one mile that John runs
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Complete Question
John and Paul both run on the same track each morning. The ratio of the number of John runs to the number of Paul runs is 5:8 Which statement correctly represents the situation?
A. Paul runs 5/8 mile for every one mile that John runs
B. Paul runs 8/13 mile for every one mile that John runs.
C. John runs 5/8 mile for every one mile that Paul runs.
D. John runs 8/13 mile for every one mile that Paul runs.
Keiko was working with a new function, g(x). He wrote down the following steps for g(x):
• Add 5.
• Divide by 2.
• Cube it. (Find the third power.)
Multiply by 6.
a. What is the equation for g(x)? What is the output when 3 is put in?
b. Help Keiko write down the steps (in words) of the inverse machine, g¹(a), and then write its equation.
c. Verify that your equation in part (b) correctly "undoes" the output of g(x) in part (a).
a.) The equation for g(x) is g(x) = 6((x+5)/2)³and output is 384.
b.) The inverse machine, g¹(a), we need to undo each of the four steps in reverse order is g¹(a) = [tex]((a/6)^{(1/3)})*[/tex]2 - 5
c.) To verify that g¹(a) correctly "undoes" the output of g(x), we can plug in the output of g(3) (384) into g¹(a) and see if we get 3 as the result is 3.
What is Function?
A function is a mathematical rule that takes one or more inputs (also called independent variables or arguments) and produces a single output (also called a dependent variable or function value). In other words, a function is a relationship between the inputs and the output, where each input produces a unique output.
Functions can take many different forms and can be used to describe a wide variety of mathematical and real-world phenomena.
a. The equation for g(x) is:
g(x) = 6((x+5)/2)³
When 3 is put in for x, the output is:
g(3) = 6((3+5)/2)³= 6(4)³ = 384
b. To find the inverse machine, g¹(a), we need to undo each of the four steps in reverse order:
Undo step 4: Divide a by 6.Undo step 3: Take the cube root of the result from step 1.Undo step 2: Multiply the result from step 2 by 2.Undo step 1: Subtract 5 from the result from step 3.Putting this in equation form, we get:
g¹(a) = [tex]((a/6)^{(1/3)})[/tex]*2 - 5
c. To verify that g¹(a) correctly "undoes" the output of g(x), we can plug in the output of g(3) (384) into g¹(a) and see if we get 3 as the result:
g¹(384) =[tex]((384/6)^{(1/3)})[/tex]*2 - 5 =[tex](64^{(1/3)})[/tex]2 - 5 = 42 - 5 = 3
Since the output of g¹(a) is 3 when we input the output of g(x), we can conclude that g¹(a) correctly undoes the output of g(x).
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LB =
Round your answer to the nearest hundredth.
B
?
CT
5
4
A
C
3
Measure of angle B is 36.87°.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions or the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Given is a right angled triangle.
We have to find measure of angle B.
Cosine of an angle in a right angled triangle is equal to the ratio of it's adjacent side to the hypotenuse.
Hypotenuse = AB = 5
Adjacent side to B = CB = 4
Cos B = 4/5
∠B = Cos⁻¹ (4/5)
= 0.6435 radians
= 36.87°
Hence the measure of the angle B is 36.87°.
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Which algebraic expression is a polynomial term?
A polynomial term is an expression composed of constants, variables, and exponents.
A polynomial term is an expression composed of constants, variables, and exponents. Constants are the numerical values that don't change, while variables are values that can change. Exponents are numbers that indicate how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 8. A polynomial term is an expression that combines constants, variables, and exponents, such as 6x^2 - 3x + 5. In this expression, 6, -3, and 5 are constants, x is a variable, and 2 and 1 are exponents. A polynomial term can also contain fractions, such as (2x + 1)/3. In this case, 2, 1, and 3 are constants, and x is a variable. Polynomial terms are the building blocks of polynomials, which are equations that consist of multiple polynomial terms.
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What number is exactly halfway between 61 and 547?
Answer:
304
Step-by-step explanation
it was on my quiz
Answer:
The number 304 is exactly halfway between 61 and 547.
Step-by-step explanation:
To find the halfway point between two given numbers we can simply add them together then divide them by 2.
Note:
let [tex]N[/tex] be the number that is halfway
[tex]N=\frac{547+61}{2}[/tex]
[tex]N=\frac{608}{2}[/tex]
[tex]N=304[/tex]
A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?
Answer: 5,840,000
Step-by-step explanation:
96/24=4
365,000x2x2x2x2=5,840,000
or
365,000 x 2^4=5,840,000
To raise money for a charity, a Year 10 class has decided to organise a school
luncheon. Tickets will cost $6 each. The students have negotiated a special deal for
delivery of drinks and pizzas, and they have budgeted $200 for drinks and $250 for
pizzas. If they raise $1000 or more, they qualify for a special award.
a) write an equation to represent this situation.
b) solve the equation to find the number of tickets they must sell to qualify for the award. explain your answer.
The equation that represents this situation is $6t - $450 ≥ $1000.
The number of tickets that should be sold is 242.
How many tickets should be sold?The form of the equation is:
total revenue - total cost ≥ $1000
(cost of one ticket x number of tickets sold) - cost of pizza and drinks ≥ $1000
($6 x t) - ($200 + $250) ≥ $1000
$6t - $450 ≥ $1000
$6t ≥ $1000 + $450
$6t ≥ $1450
t ≥ $1450 / 6t
t ≥ 242
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how many four-digit numbers are made up of four consecutive numbers from 1-9 in some order, like 5342 or 7658?
There 144 four digit numbers are made up of four consecutive numbers from 1 to 9
We can approach this problem by counting the number of ways we can choose four consecutive numbers from 1-9 and then arranging them in a four-digit number.
Here we have to use combination
There are 6 possible sets of four consecutive numbers in the range 1-9
= {1,2,3,4}, {2,3,4,5}, {3,4,5,6}, {4,5,6,7}, {5,6,7,8}, and {6,7,8,9}.
For each set, there are 4! = 24 ways to arrange the four numbers into a four-digit number.
So the total number of four-digit numbers made up of four consecutive numbers from 1-9 is:
6 sets × 24 arrangements per set = 144
Therefore, there are 144 such four-digit numbers.
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Factor 26r³s
O 13(2r³s + 475-37²54)
037²s(27+ 47³-38³)
O 13r²(2rs + 4r3 – 384)
O 13r²(26r³s + 527-5-39²4)
+5275-39724. What is the resulting expression?
The resulting expression of the algebraic expression is 13r²(2rs + 4r³ - 3s⁴).
option C.
What is the resulting expression of the algebraic expression?The resulting expression of the algebraic expression given as
26r³s + 52r^(5) - 39r²s⁴
can be determined by finding the highest common factor here and factorize out.
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus, in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
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The complete question is below:
Factor 26r³s + 52r^(5) - 39r²s⁴
Mr. Lopez must drive 340 miles to
attend an origami convention. His
car averages 28 miles per gallon and so far he has traveled 102 miles. How much gasoline must be left in his tank if he wants to complete the trip without stopping?
made
The quantity of gasoline that must be left in his tank if he wants to complete the trip without stopping is 8.5 gallons of gasoline.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x represents the quantity of gasoline.y represents the total distance.c represents the y-intercept or initial value.In this context, an equation that models the situation is given by:
y = mx + c
340 = 28x + 102
28x = 340 - 102
28x = 238
x = 238/28
x = 8.5 gallons of gasoline.
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Write a quadratic equation with -1 and 5 as its roots
A quadratic equation with -1 and 5 as its roots is x^2 - 4x - 5 = 0 by multiplying the terms.
The roots of a quadratic equation are the values of the variable that satisfy the equation. They are also known as the "solutions" or "zeros" of the quadratic equation.
Derive factor from the roots
x = -1 and x = 5
x + 1 = 0 and x - 5 = 0
Now, (x+1)(x-5) = 0
x(x - 5) + 1(x - 5) = 0
x^2 - 5x + x - 5 = 0
x^2 - 4x - 5 = 0
To know more about quadratic equation
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In the figure, ACCB. D is a point on AB such that CD AB.
Prove that x = y.
Answer: x = y
Step-by-step explanation:
x and y are angles with vertical sides, and angles with vertical sides are always equal
