Answer: 100 < 96
Step-by-step explanation:
x+52+x+42 = 180
2x+94 = 180
2x = 180 - 94
2x = 86
x = 86/2
x = 43
110 < x + 52
110 < 43 + 52
110 < 96
christina's pizza sells pizza by the slice for lunch. today, they sold 76 slices, including 20 slices of pepperoni pizza. what is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?
The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263
The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.
Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.
So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is
Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today
Experimental probability = 20 / 76
Experimental probability = 0.263
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find the value of x?
Answer: x is equal to 1
Step-by-step explanation:
Hellppppppppppppppppp
Answer:
Step-by-step explanation:
asdfasdf
Can someone help me out with this?
The equation in slope-intercept form that describes the relationship in the graph is: y = -20x + 100.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. It contains one or more variables, and the values of these variables can be solved for to make the equation true. An equation can be represented using symbols, numbers, and operators such as addition, subtraction, multiplication, division, and exponents. Equations are used in many fields of mathematics and science, and they are a fundamental tool for solving problems and making predictions.
Here,
Part A:
The equation in slope-intercept form that describes the relationship in the graph is:
y = -20x + 100
Part B:
To determine the equation, we need to find the slope of the line passing through the two given points.
Slope, m = (change in y) / (change in x)
m = (0 - 100) / (5 - 0)
m = -20
The y-intercept can be found by substituting the slope and any point on the line into the slope-intercept form of the equation:
y = mx + b
100 = (-20)(0) + b
b = 100
Therefore, the equation in slope-intercept form is:
y = -20x + 100
Part C:
In the given situation, the slope represents the rate of decrease in the percentage of battery remaining per hour. The negative value indicates that the percentage of battery remaining decreases over time, and the magnitude of the slope (-20) indicates that the battery percentage decreases by 20% per hour.
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Can someone help me?!??
Answer:
4,320
Step-by-step explanation:
answer is 4,320
9x2x3x8x2x5
Answer:
66 km²
Step-by-step explanation:
To solve this, you should find the area of the rectangle as if it were complete and then subtract the area of the missing section.
Step one: Finding the area of the big rectangle
A = length x width
A = 9 x 8
A = 72 km²
Step two: Find the area of the smaller rectangle
A = 2 x 3 = 6 km²
Step three: Subtract the area of the small rectangle from the area of the big rectangle
72 - 6 = 66
Which can cover a greater area, 2 quarters, each with a diameter of 1 inch, or 1 half dollar, with a diameter of 1. 2 inches?
The area of the half-dollar coin with a diameter of 1.2 inches is greater.
Both the given objects have a circular shape with a different diameter.
One of the objects is made up of two separate quarters of a circle, each with a diameter of 1 inch.
On the other hand, the second object is one half-dollar coin with a diameter of 1.2 inches.
We will use the formula of the area of a circle that is : A = πr²
Where A is the area of the circle.
π is the constant value (3.14)
r is the radius of the circle.
Let's calculate the area of 2 quarters each with a diameter of 1 inch.
The radius will be half of the diameter.
So, the radius is 1/2 inch for each quarter of the circle.
A = πr²A = π × (1/2)²A = π × 1/4A = 0.7854 square inches.
The total area of both quarters will be = 2 × 0.7854 square inches
The total area of both quarters = 1.5708 square inches
Now, let's calculate the area of the half-dollar coin with a diameter of 1.2 inches.
The radius will be half of the diameter.
The radius of the half-dollar coin = 1.2 / 2 = 0.6 inch
A = πr²A
= π × 0.6²A
= π × 0.36A
= 1.1318 square inches
The half-dollar coin has a greater area as compared to the two quarters of a circle.
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cylindrical container of paint is 3 cm across the top and about 7 cm high. how many cubic centimeters of paint can it hold?
The number of cubic centimeters of paint that will fit in the cylindrical container is:
66.36 cm³
How to find the volume of a cylindrical container?The volume of a cylinder can be determined by multiplying the area of the base by the height. It may be expressed using the formula:
V = πr²h
where π (pi) is approximately equal to 3.14, r is the radius, and h is the height.
You should also note that the radius of the cylinder is one-half of the diameter.
V = πr²h
Since the cylindrical container of paint has a diameter of 3 cm, its radius would be 1.5 cm. Furthermore, its height is around 7 cm. As a result, by substituting the given values into the formula, we may get the following result:
V = πr²hV = π(1.5)²(7)
V = 66.36 cm³
Therefore, the cylindrical container of paint can hold approximately 66.36 cubic centimeters of paint.
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shen wants to earn more than $33 trimming trees. he charges $8 per hour and pays $7 in equipment fees. what are the possible numbers of hours shen could trim trees?
The answer is 4.375 hours.
Since this is not a whole number, Shen will need to trim trees for at least 5 hours in order to earn more than 33.
In order to answer this question, we need to know how much Shen is wanting to earn and what his rate of pay and equipment fees are. You've stated that Shen wants to earn more than 33 trimming trees and that he charges 8 per hour and pays 7 in equipment fees.
The formula to solve this problem is:
Earnings = Rate of Pay x Number of Hours – Equipment Fees
Therefore, we can calculate the number of hours Shen needs to trim trees in order to earn more than 33.
Number of Hours = (Earnings + Equipment Fees) / Rate of Pay
Substituting in the values provided in the question:
Number of Hours = (33 + 7) / 8
+ 4.375 hours.
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Dylan has $20.00 on his gift card. After some purchases, he has $0.06 remaining on his gift card. Dylan has _____% of the original amount remaining on the gift card.
Answer:
Step-by-step explanation:
To find the percentage of the original amount that Dylan has remaining on his gift card, we can divide the remaining amount by the original amount and then multiply by 100 to express it as a percentage.
The original amount on the gift card was $20.00, and the remaining amount is $0.06, so the percentage of the original amount that Dylan has remaining on his gift card is:
($0.06 ÷ $20.00) x 100% =
0.003 x 100% =
0.3%
Therefore, Dylan has 0.3% of the original amount remaining on his gift card.
anderson went to the restaurant traveling 15 mph and returned home traveling 12 mph. if the total trip took 9 hours, how long did anderson travel at each speed?
Anderson traveled 15 mph to go to the restaurant and 12 mph to get home. Anderson went at 15 mph for 3 hours and at 12 mph for 6 hours. if the entire trip took 9 hours.
The given speed Anderson, the total time taken, and asked to find the time traveled at each speed:
Speed, [tex]S_1[/tex] = 15 mph
Speed, [tex]S_2[/tex] = 12 mph
Total time, [tex]t[/tex] = 9 hours
Time traveled with speed 1,
[tex]t_1[/tex] Time traveled with speed 2, [tex]t_2[/tex]
To solve the given problem, let's use the following formula:
Total [tex]t[/tex] (time) = [tex]t_1[/tex] ( time 1) + [tex]t_2[/tex] (time 2)
Now, time 1 can be represented as
[tex]t_1[/tex] (time 1) = [tex]d[/tex] (distance) / [tex]S_1[/tex] (speed 1)
Similarly, time 2 can be represented as:
[tex]t_2[/tex] (time 2) = [tex]d[/tex] (distance) / [tex]S_2[/tex] (speed 2)
Here, we need to find the time traveled at each speed. Let's use these equations to solve the given problem.
Time traveled with speed 1, [tex]t_1[/tex] = [tex]d[/tex] / [tex]S_1[/tex]
Time traveled with speed 2, [tex]t_2[/tex] = [tex]d[/tex] / [tex]S_2[/tex]
As we know the total time, we can find the value of d in terms of [tex]t[/tex].
So, [tex]d[/tex] = [tex]S_1[/tex] * [tex]t_1[/tex] = [tex]S_2[/tex] * [tex]t_2[/tex]
From the above equation, we can write: [tex]t_1[/tex] / [tex]t_2[/tex] = [tex]S_2[/tex] / [tex]S_1[/tex] [tex]t_2[/tex]
= [tex]t[/tex] - [tex]t_1[/tex]
Substitute the value of [tex]t_2[/tex] in equation(1):
[tex]t_1[/tex] / ([tex]t[/tex] - [tex]t_1[/tex] ) = [tex]S_2[/tex] / [tex]S_1[/tex][tex]t_1[/tex] [tex]S_1[/tex]
= ([tex]t[/tex] - [tex]t_1[/tex] ) [tex]S_2[/tex] .[tex]t_1[/tex] . [tex]S_1[/tex] + [tex]t_1[/tex] [tex]S_2[/tex]
= [tex]tS_1[/tex][tex]t_1[/tex]
= [tex]tS_1[/tex] / ( [tex]S_1[/tex] + [tex]S_2[/tex] ) [tex]t_2[/tex]
= [tex]t[/tex] - [tex]t_1[/tex]
= [tex]tS_2[/tex] / ( [tex]S_1[/tex] + [tex]S_2[/tex] )
Therefore, Anderson traveled at 15 mph for 3 hours Anderson traveled at 12 mph for 6 hours.
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Eugene had some paper with which to make note cards. on his way to his room he found 3 more pieces to use. in his room he cut each piece of paper in half. when he was done he had 12 half-pieces of paper. with how many sheets of paper did he start with?
On his journey to his room, Eugene first found a few pieces of paper before discovering three more. Let's assume that he began with x bits of paper. Eugene started with [tex]3[/tex] pieces of paper.
What is the equation?Eugene started with some pieces of paper, and then he found 3 more on his way to his room. So, let's say he started with x pieces of paper.
After finding the 3 more pieces, he had a total of [tex]x + 3[/tex] pieces of paper.
He then cut each piece of paper in half, which means he doubled the number of pieces of paper. So, he ended up with [tex]2 \times (x + 3) = 2x + 6[/tex] half-pieces of paper.
We're given that he had 12 half-pieces of paper in the end, so we can set up the equation:
[tex]2x + 6 = 12[/tex]
Solving for x, we get:
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Therefore, Eugene started with 3 pieces of paper.
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in a recent survey of 619 salinas residents, 437 stated they experienced significant traffic delays within the last month. if one of the 619 residents is selected at random, what is the probability they have experienced delays?
If one of the 619 residents is selected at random, the probability they have experienced delays is 70.6%.
To find the probability that a randomly selected Salinas resident has experienced significant traffic delays within the last month, we need to use the formula for probability:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the favorable outcome is the number of residents who have experienced significant traffic delays, which is 437. The total number of outcomes is the total number of residents surveyed, which is 619. Therefore, the probability is:
Probability = 437 / 619 ≈ 0.706
This means that there is a 70.6% chance that a randomly selected Salinas resident has experienced significant traffic delays within the last month, based on the given survey results.
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Write the equation of a line parrallel to y=1/3x+4 and goes through -6,1
The equation of the line parallel to y = (1/3)x + 4 and passing through (-6, 1) is y = (1/3)x + 3.
To find the equation of a line parallel to y = (1/3)x + 4 and pass through the point (-6, 1), we can use the fact that parallel lines have the same slope. The slope of the given line is 1/3, so the slope of the parallel line must also be 1/3.
Now we have the slope (m = 1/3) and a point on the line (-6, 1), so we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Plugging in the values, we get:
y - 1 = (1/3)(x - (-6))
Simplifying, we get:
y - 1 = (1/3)x + 2
Adding 1 to both sides, we get the final equation:
y = (1/3)x + 3
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eighteen more than 7 times a number is -12
The solution x = -30/7 is the value of the unknown number that satisfies the statement "eighteen more than 7 times a number is -12".
This question is incomplete, the complete question is:
Eighteen more than 7 times a number is -12, find the unknown number.
What is the value of the unknown number?Given that, eighteen more than 7 times a number is -12.
Let's use "x" to represent the unknown number.
From the given information, we can use algebra to translate this sentence into an equation.
We start by using "7x" to represent the product of 7 times "x", and adding 18 to it:
7x + 18
Then, we set this expression equal to -12, since that's what the sentence told us the expression is equal to:
7x + 18 = -12
To solve for "x", we can first subtract 18 from both sides:
7x + 18 - 18 = -12 - 18
7x = -30
Then, we can isolate "x" by dividing both sides by 7:
7x/7 = -30/7
x = -30/7
Therefore, the value of the unknown number is x = -30/7.
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on a business retreat, your company of 32 businessmen and businesswomen go golfing. you need to divide up into foursomes (groups of 4 people): a first foursome, a second foursome, and so on. how many ways can you do this?
There are 4,845 ways to divide a group of 20 people into foursomes, and there are 1,800 ways to form foursomes with at least one Board member in each.
(a) The number of ways to divide a group of 20 people into foursomes can be calculated using the combination formula:
C(20,4) * C(16,4) * C(12,4) * C(8,4) * C(4,4)
where C(n,r) represents the number of ways to choose r items from a set of n items.
Plugging in the values, we get:
[C(20,4)] [C(16,4)] [C(12,4)] [C(8,4)] [C(4,4)] = 4,845,120
Therefore, there are 4,845,120 ways to divide the 20 people into foursomes.
(b) If we want to include one of the five Board members in each foursome, we can first choose the Board member for the first foursome (5 ways to do this), then choose the Board member for the second foursome (4 ways to do this), and so on. After choosing the Board members, we can then assign the remaining people to the foursomes in the same way as in part (a).
Therefore, the total number of ways to form the foursomes with one Board member in each foursome is:
5 [C(16,3)] [C(12,3)] [C(8,3)] [C(4,3)] = 1,254,720
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Complete question:
On a business retreat, your company of 20 businessmen and businesswomen go golfing.
(a) You need to divide up into foursomes (groups of 4 people): a first foursome, a second foursome, and so on. How many ways can you do this?
(b) After all your hard work, you realize that in fact, you want each foursome to include one of the five Board members. How many ways can you do this?
A department store is holding a fall clothing sale where $9.99 will be taken off any clothes purchased. If Taylor wants to buy a pair of pants regularly priced $34.99, how much will he spend at the sale?
Which equation matches the hanger diagram?
Equations are collections of two or more statements with equal signs.
I must locate the solution that the hanger diagram matches. [tex]3x=4[/tex] is the equation that fits the hanger diagram. Thus, option C is correct.
What is a hanger diagram?The hanger shows a total weight of 7 units on one side that is balanced with 3 equal, unknown weights and a 1-unit weight on the other.
Two or more expressions containing equal signs are called equations. I need to find the equation that corresponds to the hanger diagram. The hanger model is a visual representation of the equation.
Both sides must have the same weight to keep the hanger balanced. Like scales and barbells. There are 3 x on the left side of the hanger and 4 x on the right side.
So [tex]3x=4[/tex] is an equation that satisfies the given trailer diagram.
So option C is correct. [tex]3x=4[/tex] is the equation that fits the hanger diagram.
From the diagram we have,
Left=x+x+x
Right [tex]=1+1+1+1[/tex]
This gives
Left=[tex]3x[/tex]
Right [tex]=4[/tex]
Therefore, the equation [tex]3x =4[/tex]
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A random sample of patients at a medical office found that 40% were in the age range 13–21. There are 1,100 patients in total. Use the experimental probability from the survey to predict about how many patients are in the age range 13–21
we can estimate that about 440 patients in the medical office are in the age range 13-21. The experimental probability of finding a patient in the age range 13-21 is 40%, which means that for every 10 patients in the medical office, 4 are in the age range 13-21.
To estimate how many patients are in the age range 13-21, we can use the proportion of the sample in the age range 13-21 and apply it to the entire population. In this case, we can use the proportion of patients in the age range 13-21 in the sample to estimate the number of patients in the age range 13-21 in the population.
The sample size is not given in the problem, but we are told that there are 1,100 patients in the medical office. Let's assume that the sample size is large enough to make a reasonable estimate.
So, if 40% of the sample is in the age range 13-21, then we can estimate that about 40% of the total population of 1,100 patients are also in the age range 13-21.
To calculate this, we can use the following formula:
estimated number of patients in the age range 13-21 = proportion in sample x total population
= 0.40 x 1,100
= 440
Therefore, we can estimate that about 440 patients in the medical office are in the age range 13-21.
It's important to note that this is just an estimate based on the experimental probability from the sample. The actual number of patients in the age range 13-21 may vary from this estimate due to sampling error or other factors. However, this estimate can still provide a useful approximation for planning and decision-making purposes.
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1 halves of a cupcake for my self 2 halves for my friend and 5 halves for our other friend
Two numbers are in the ratio of 4 : 5. If their product is 80
find the greater number.
answer: 10
step by step explanation:
this is not a textbook way but
4:5 means 4/5 and we know that the numbers will be equal to this number so we can multiply the number 4/5*2/2 so we will get 8/10
8/10=4/5
and 8*10=80
so 1st no. is 8 and 2nd is 10
10>8
Answer:
greater number is 10
Step-by-step explanation:
the ratio of the 2 numbers = 4 : 5 = 4x : 5x ( x is a multiplier )
their product is 80 , that is
4x × 5x = 80
20x² = 80 ( divide both sides by 20 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
then greater number = 5x = 5 × 2 = 10
if hope has 4 more quarters than nickels and they have a combined value of 280 cents, how many of each coin does she have?
Hope has 6 nickels (x) and 10 quarters (x + 4).
How many of each coin Hope has if she has 4 more quarters than nickels and they have a combined value of 280 cents. To solve this problem, we can use algebraic equations.
Let's assume the number of nickels Hope has is x. Then, the number of quarters she has would be x + 4.
Now, we need to find the total value of the coins. Each nickel is worth 5 cents, so the total value of nickels is 5x cents. Similarly, each quarter is worth 25 cents, so the total value of quarters is 25(x + 4) cents. The combined value of the coins is 280 cents, so we can set up an equation:
5x + 25(x + 4) = 280
Simplify and solve for x:
5x + 25x + 100 = 280
30x = 180
x = 6
Therefore, Hope has 6 nickels (x) and 10 quarters (x + 4).
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Question 4 In which circuit represented below are meters properly connected to measure the current through resistor R1 and the potential difference across R2? A) LWA OAA OB.B OCC ODD
In Circuit B, the ammeter is connected in series with resistor R1 and the voltmeter is connected in parallel with resistor R2.
Therefore, the circuit is correctly setup to measure the desired quantities.
The correct circuit for measuring the current through resistor R1 and the potential difference across R2 is Circuit B. Circuit B is formatted with an ammeter measuring the current through R1 and a voltmeter measuring the potential difference across R2.
An ammeter is used to measure current and should be connected in series with the component it is measuring; whereas a voltmeter is used to measure potential difference and should be connected in parallel with the component it is measuring.
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when using the empirical rule and you have a mean of 10 and a standard deviation of 1, approximately what percentage of values falls between 9 and 11?
When using the empirical rule and you have a mean of 10 and a standard deviation of 1, approximately 68% of values fall between 9 and 11.
The empirical rule is also known as the three-sigma rule, which states that the values under a normal distribution curve are given by:
Approximately 68% of values fall within one standard deviation from the mean
Approximately 95% of values fall within two standard deviations from the mean
Approximately 99.7% of values fall within three standard deviations from the mean
To solve the problem, we have to calculate how many standard deviations the given values are from the mean:
Lower value = 9Mean = 10
Upper value = 11
Standard deviation = 1
Now, calculate the z-scores:
Lower z-score = (9 - 10) / 1 = -1
Upper z-score = (11 - 10) / 1 = 1
The values between 9 and 11 are within one standard deviation from the mean, so we use the first part of the empirical rule:
Approximately 68% of values fall within one standard deviation from the mean
Therefore, approximately 68% of the values fall between 9 and 11.
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helppppppppp plsssssssssssssssssss
1. Higher Order Thinking Sam made the shape at the right
from colored tiles. What is the area of the shape? Explain
how you found your answer.
1
square in
The area of the given shape is 22 square tiles. The given shape consists of two rectangles and a square.
To find the area of the shape, we need to find the area of each of these three shapes and then add them up.
First, we can see that the length of the longer rectangle is 6 tiles and the width is 2 tiles. Therefore, the area of this rectangle is 6 × 2 = 12 tiles.
Next, the length of the shorter rectangle is 3 tiles and the width is 2 tiles. Thus, the area of this rectangle is 3 × 2 = 6 tiles.
Finally, the square has a side length of 2 tiles, so its area is 2 × 2 = 4 tiles.
Adding up the areas of the three shapes, we get 12 + 6 + 4 = 22 tiles.
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The circumference of a circle is 23π cm.
What is exact the area of the circle?
Do not round. Include correct units.
Show your process
a sample of 90 adult randolph county residents showed that 59 own a home. what is the risk of owning a home?
The risk of owning a home in Randolph County based on the given sample can be calculated as:
Risk of owning a home = Number of residents who own a home / Total number of residents in the sample
Risk of owning a home = 59 / 90
Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.
PLS HELP......!
Fill in the blanks to describe each sequence in words. Then write the missing terms.
• Pyramidal Sequence: Each term in the sequence is the (BLANK) of a perfect square and all perfect squares before it.
1, (BLANK) , 14, 30, (BLANK) , 91, ...
• Fibonacci Sequence: Each term in the sequence is the (BLANK) of the 2 terms before it.
1, 1, 2, 3, (BLANK) , 8, 13, (BLANK) , 34, ...
ccording to this statement, government is held accountable by the - a king b church c laws d citizens next pageback
According to the given statement, the government is held accountable by the citizens. Citizens are the ones who elect the government and, thus, have the power to hold it accountable. This is a fundamental principle of democracy that ensures that those in power are serving the people's interests.In a democratic society, the government is accountable to the people.
This means that citizens have the right to hold elected officials accountable for their actions. This is achieved through various means such as free and fair elections, the rule of law, and the right to free speech and expression.Government officials are elected to serve the people and carry out their wishes. This means that they must be transparent and open to criticism. They must be willing to listen to citizens' concerns and take action to address them. This is why democratic societies have mechanisms in place to ensure that citizens can hold their government accountable, such as a free press and independent judiciary.In conclusion, citizens are the ones who hold the government accountable in a democratic society. They have the power to elect officials and the right to criticize them if they are not serving their interests. This ensures that those in power are always acting in the best interests of the people.
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Given the triangles are similar in the image above, solve for x and y.
The values as per similarity of traingles is x=4 and y=10.
EquationSince ABC and DEF are similar triangles, their corresponding sides are proportional.
That is,
AB/DE = AC/EF = BC/DF
Substituting the given values, we get:
9/6 = 18/10 = (4x-1)/y
Simplifying this expression, we can solve for x and y:
9/6 = (4x-1)/y
Cross-multiplying, we get:
27y = 6(4x-1)
27y = 24x - 6
Substituting y = 10/3, we get:
(27)(10/3) = 24x - 6
90 = 24x - 6
96 = 24x
x = 4
Therefore, the value of x is 4.
9/6 = (4x-1)/y
Substituting x = 4, we get:
9/6 = (4(4)-1)/y
9/6 = 15/y
Cross-multiplying, we get:
9y = 90
y = 10
Therefore, the value of y is 10.
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