Answer:
$4375
Step-by-step explanation:
25 percent *17500 =
(25:100)*17500 =
(25*17500):100 =
437500:100 = 4375
some times the lines "look" parallel or "look" non-parallel, therefore we cannot tell you by just looking at the lines of you are given the information that angle 4 measures 89 degrees and angle 3 measures 91 degrees, you would go ahead and say the lines are parallel.
A: true; this would be enough information to say that the lines are definitely parallel
False ; the lines are not parallel because angles 3 and 4 should be congruent
The sum of angles 3 and 4 is equal to 180 degrees, therefore: A: true; this would be enough information to say that the lines are definitely parallel.
How to Determine if Two Lines are Parallel?When two lines are intersected by a transversal, and the same-side interior angles are supplementary, that is are equal to 180 degrees, then we can state that the two lines are parallel to each other based on the converse of the same-side-interior angles theorem.
Given the following information:
Measure of angle 4 = 89°Measure of angle 3 = 91°Angle 4 and angle 3 are same-side-interior angles, thus:
89 + 91 = 180°
This means that, the sum of angle 4 and 3 are supplementary. Lines g and h are therefore parallel to each other.
In summary, our answer would be: A: true; this would be enough information to say that the lines are definitely parallel.
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Answer:
true
Step-by-step explanation:
The sum of 110 and a number
is five times that number
minus 10. What is the
number?
Answer: Let the number = x
5x+10 = 120
Or, 5x = 120 - 10
Or, 5x = 110
Or, x = 110/5
Or, x = 2
Step-by-step explanation:
The figure shows lines r, n, and p intersecting to form angles 1, 2, 3, 4, 5, and 6. All 3 lines lie in the same plane. Based on the figure, which of the individual statements would provide enough information to conclude that line r is perpendicular to line p ? Select all that apply. M∠4 + M∠5 = 60° M∠3 = M∠6 M∠6 = 90° M∠1 + M∠6 = 90° M∠5 + M∠4 = 90° M∠2 = 90°
The individual statements which would provide enough information to conclude that line r is perpendicular to line p are m∠3 = m∠6, m∠6 = 90°, and m∠5 + m∠4 = 90°. Option B, option C, and option E are correct.
First, let us understand the angle formed by intersecting lines:
The types of angles formed by intersecting lines are adjacent angles, vertical angles, etc.
We are given;
The figure shows lines r, n, and p intersecting to form angles 1, 2, 3, 4, 5, and 6.
All 3 lines lie in the same plane.
If line r is perpendicular to line p, then;
m∠1 + m∠2 = m∠5 + m∠4 = 90° (Vertical angles)
m∠3 = m∠6 = 90° (Vertical angles)
Thus, the individual statements which would provide enough information to conclude that line r is perpendicular to line p are m∠3 = m∠6, m∠6 = 90°, and m∠5 + m∠4 = 90°. Option B, option C, and option E are correct.
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If you invest $200 into a savings account that earns 4% annual interest compounded continuously, how much money will you have after 21 years?
Answer:
$455.75
Step-by-step explanation:
Formula for compound interest:End amount = Starting amount x (1 + interest in decimal form)^length of time in years Starting amount: $200Interest rate as a decimal: 0.04 (4%/100)Length of time: 21 yearsEnd amount = 200.00(1 + 0.04)^(21) = $455.75
True or false: The associative property is used on the following expression: 2 + 3 = 3 + 2.
if its false what is the answer
Answer: I believe this is True!
Step-by-step explanation:
I know what associative property and that seems like a example.
And if its false then answer should be false.
Try True, if not True then False!
Tariq sold 2 kg, 4kg, 3 kg, and 4kg of almonds from Monday to
Thursday respectively. On Friday, he sold of the previous four days total
sold quantity.
a) How much almonds he sold on Friday?
b) How much almonds did he sell from Monday to Thursday?
Thi
a)
As per given information about selling of almonds from Monday to Thursday , answer of the following questions are as follow:
a. Amount of almonds sold on Friday as per given condition is equal to
13 kg.
b. Amount of almonds he sells from Monday to Thursday is equal to 13kg.
As given in the question,
Amount of almonds sold by Tariq from Monday to Thursday are as follow:
Monday = 2 kg
Tuesday = 4kg
Wednesday = 3 kg
Thursday = 4kg
a. Condition given:
Amount of almonds sold on Friday is equal to total sold quantity of previous four days that is Monday to Thursday
= (2 + 4 + 3 + 4) kg
= 13kg
b. Amount of almonds Tariq sell from Monday to Thursday is
= (2 + 4 + 3 + 4) kg
= 13kg
Therefore, as per given information about selling of almonds from Monday to Thursday , answer of the following questions are as follow:
a. Amount of almonds sold on Friday as per given condition is equal to
13 kg.
b. Amount of almonds he sells from Monday to Thursday is equal to 13kg.
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Find the slope (3,0),(-11,-15)
Answer: 15/14
Step-by-step explanation:
Use the slope formula: y2-y1/x2-x1
Apply that:
-15-0/-11-3 = -15/-14 = 15/14
Your bank account has -$30, and you deposit $7 daily. How much money is your account after 5 days? Show you work with the Unit!
16 points
The amount in the account after the daily deposit for 5 days is $5
How to determine the amount in the account?The given parameters i the question are represented as follows
Initial balance = -$30
Daily deposit = $7
Number of days of deposit = 5
The equation that represents the amount in the account is represented as
Amount = Initial balance + Daily deposit * Number of days
Substitute the known values in the above equation So, we have the following equation
Amount = -30 + 7 * 5
Evaluate
Amount = 5
Hence, the amount is $5
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Express y in the form axⁿ in the logarithm
[tex] log_{10}y + log_{10}x = 2[/tex]
Using the properties of logarithm we get the value y = 100x⁻¹ in the exponential form axⁿ
The given logarithmic equation is :
log ₁₀y + log ₁₀x = 2
Now we know that: 1 = log₁₀10
∴log ₁₀y + log ₁₀x = 2× log₁₀10
or, log ₁₀y + log ₁₀x = log₁₀10² (10 raised to the power 2)
or, log ₁₀y + log ₁₀x = log₁₀100
we know that log p+ log q = log pq
or, log ₁₀xy = log₁₀100
Now we take antilog on both sides of the equation:
or, xy = 100
or, y = 100 / x
or, y = 100x⁻¹
Problems that cannot be solved using the concept of basic exponents alone can be solved with a logarithm. Simply said, a logarithm is another way to talk about exponents.
A relatively simple way to remember this is that base remains the base in both forms and base does not remain solely with exponent in log form. Be aware that "b" is the base on both the left and right sides of the implies symbol, and that when an equation is written in log form, the base b and exponent x do not necessarily stay on the same side of the equation.
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Some students equally share 2 baskets of apples.Each basket has 12 apples. Write an algebraic expression to represent this situation. Then explain how you chose which variable and operation to use.
The algebraic expression to represent the given situation is 24/x where x is the number of students.
According to the question,
We have the following information:
Some students equally share 2 baskets of apples. Each basket has 12 apples.
Now, this situation can be presented to find the number of apples each student had.
Let's take the number to students to be x.
(x is the variable in this case.)
Number of apples one student had = total number of apples/number of students
Number of apples one student had = (2*12)/x
Number of apples one student had = 24/x
Hence, the algebraic expression to represent the given situation is 24/x where x is the number of students.
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Alexander Rothe ran the marathon in 1.2 X 10^5 seconds. Would it be more appropriate for the newspaper to say 1.2 x 10^5 seconds or would it be more appropriate to say 3 hours and 20 minutes?
10 points
1.2 x 10^5
3 hours and 20 minutes
Answer: 3 hours and 20 minutes
Step-by-step explanation:
A farmer determined the equation "y = -7/3x + 72.75" best fits his data when comparing the weight, y, in grams, of strawberries to the average daily mean temperature, x, in °F, each season. Which statement best describes the rate of change of the equation?
(Save me its mental abuse)
The rate of change, -7/3, in the equation means: the average weight of strawberry decrease by 7/3 grams at every 1°F increase in temperature.
How to Interpret the Rate of Change of an Equation?A linear equation is often expressed in the form of y = mx + b, which is the slope-intercept form, where the rate of change is the value of the variable "m" in the equation, and b is the starting or initial value.
Given the equation, y = -7/3x + 72.75, in slope-intercept form, where:
y = weight in grams of strawberries x = average daily mean temperatureTherefore:
-7/3 in the equation represents the rate of change.
72.75 represents the starting value or y-intercept.
The rate of change, -7/3, in the context of this situation as represented in the equation can be described as: 7/3 grams average weight that is decayed at every 1°F increase in temperature.
Therefore, the statement that best describes the rate of change is: There is 7/3 grams decrease in weight of the strawberry at every 1°F increase in temperature.
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use the following distribution for questions 9-16: p(x,y) y 0 5 10 15 x 0 0.02 0.06 0.02 0.10 5 0.04 0.15 0.20 0.10 10 0.01 0.15 0.14 0.01 question 9: find e[x y]
The value of E[X Y] is 44.25.
According to the question,
E[X] = ∑ x × P(X=x)
=0×P(x=0) + 5×P(x=1) + 10×P(x=2)
= 0+5×(0.49)+10×(0.31)
= 5.55
E[Y] = ∑ y × P(Y=y)
=0×P(x=0) + 5×P(x=5) + 10×P(x=10) + 15×P(x=15)
= 0+5×(0.49)+10×(0.31)+15×(0.21)
= 8.55
Now,
E [X²] = ∑ x² × P(X=x)
= 0²×P(x=0) + 5²×P(x=1) + 10²×P(x=2)
= 0 + 25×0.49 + 100×0.31
= 43.25
E[Y²] = ∑ y² × P(Y=y)
= 0²×P(x=0) + 5²×P(x=5) + 10²×P(x=10) + 15²×P(x=15)
= 0 + 25×0.49 + 100×0.31 + 225×0.21
= 92.25
Therefore , V[X] = E[X²] - {E[X]} = 43.25 - 30.8025 =12.4475
V[Y] = E[Y²] - {E[Y]}² = 92.25 - 73.1025 = 19.1475
E[X Y] = ∑xy P(X=x, Y=y)
= {0×0×P(X=0,Y=0)} + {0×5×P(X=0,Y=5)} + {0×10×P(X=0,Y=0)} + {0×15×P(X=0, Y =15)} + {5×0×P(X=5,Y=0)} + {5×10×P(x=5,Y=10)} + {5×5×P(x=5,Y=5)} + {5×15×P(x=5,Y=15)} + {10×0×P(x=10,Y=0)} + {10×5×P(x=10,Y=5)} + {10×10×P(x=10,Y=10)} + {10×15×P(x=10,Y=15)}
= 0+0+0+0+0 + {50×0.20} +{25×0.15} + {75×0.10} + 0 + {50×0.15} + {100×0.14} + {150×0.01}
= 10 + 3.75 + 7.5 + 7.5 + 14 + 1.5
Hence the final answer is = 41.25
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Company A offers to sell you the newest smart phone for $35.50 a month for one year or $35.50 per 1/12 of a phone. Company B offers the same phone on a two year plan at $18.00 a month or $18.00 per 1/24 of a phone. Which company is selling the phone for less money?
From the equations , the company A is selling the phone for less money
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The equations for Company A :
The smart phone price per month = $ 35.50
The smart phone price for 1 year = $ 35.50 x 12
= $ 426
The price for 1/12 th of a phone = $ 35.50
The price for the entire phone = ( Price for 1/12 th of a phone ) x 12
= $ 35.50 x 12
= $ 426
Now , The equations for Company B :
The smart phone price per month = $ 18.00
The smart phone price for 2 year = $ 18.00 x 24
= $ 432
The price for 1/24 th of a phone = $ 18.00
The price for the entire phone = ( Price for 1/24 th of a phone ) x 24
= $ 432
Therefore , we can clearly see that price of the smart phone offered by Company A is lesser than price of the phone offered by Company B
And , $ 426 < $ 432
Hence , from the equations , the company A is selling the phone for less money
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The area of the triangle below is 8.64 square inches. What is the length of the base?
Answer: The base is 4.8 sq inches.
Step-by-step explanation: The formula for a triangle is (B x H) x 1/2. Knowing this, we can double 8.64 to nullify the 1/2. This gives us 17.28. 17.28 divided by 3.6 gives us 4.8
Answer:
4.8
Step-by-step explanation:
The area of a triangle is half the base times the height.
[tex]0.5*b*3.6=8.64 \\ b = \frac{8.64}{0.5*3.6}[/tex]
-4(x-1)+6x=2(17-x) for X PLEASE HURRY
"-4(x-1)+6x=2(17-x)" for X
Exact Form: x= 15/2= 7-1/2
decimal form: X=7.5
Answer:
Step-by-step explanation:
1 ) multiply the number with the brackets (-4x -4 = 34 - 2x)
2) collect the like terms (-4x + 2x = 34 + 4)
3) -2x = 38
4) x = 38/-2
5) x = -19
What is 78=13n sovle for n
Answer:
Step-by-step explanation:
13n=78 /13
n= 6
PLEASE HELP QUESTION ON PICTURE!
Answer:
Exact answer 32[tex]\pi[/tex]
Estimate 100.48
Step-by-step explanation:
Circuference = [tex]\pi[/tex](diameter) Diameter is the distance across the cirlce going throught the middle
c = 32[tex]\pi[/tex]
Estimate
c = 3.14(32)
100.48
How do you find the Constant of Proportionality in a graph, table or in ordered pairs?
a.divide x by x
b.divide x by y
c.divide y by x
d.divide y by k
The constant of proportionality in a graph, table or ordered pairs is divide y by x
Ising a graph, the constant of proportionality is the constant value of the ratio obtained from two proportional quantities.
How to obtain a constant of proportionality?
The constant of proportionality is the slope of the graph of a straight line.
The slope of a graph of a straight line is determined by:
Slope = rise /run or increase in y/increase in x or decrease in y/decrease in x
In conclusion, rise in y/run in x determines the constant of proportionality.
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chart with the title 'average yearly earnings in the u.s. based on sex.' the blue line represents women's yearly average earnings. the red line represents men's yearly average earnings. the x-axis shows the years 1969, 1979, 1989, 1999, 2009, 2019. the y-axis shows the dollar amounts from 0 to 70,000 in increments of 10,000. in 1969, women earned 20,156 and men earned 32,241. in 1979, women earned 22,446 and men earned 37,622. in 1989, women earned 25,310 and men earned 36,855. in 1999, women earned 27,208 and men earned 37,701. in 2009, women earned 36,278 and men earned 47,127. in 2019, women earned 47,299 and men earned 57,456source: u.s. department of laborwhat is the relationship between the average yearly earnings of women and men? men continue to earn more than women. men work in higher skilled jobs where they earn more. women's earnings have increased in relation to men's earnings. women's earnings are lower because they take more time off.
The correct answer is Men continue to earn more than women.
The average yearly wages of men and women are different from one another. Men make more money than women do.
What is the annual salary?
Annual earnings may also be referred to as annual income or yearly income. It displays a person's earnings over a specific time period.
The yearly earning of a person or a corporation is calculated by dividing the monthly earnings by the number of months in a year.
Men continue to earn more than women under the situation mentioned above, hence their wages are higher. The red line is always above the blue line.
As a result, choice A is accurate which is men continue to earn more than women.
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Answer: C. women's earnings have increased in relation to men's earnings
Step-by-step explanation:
The chart shows that
What is the slope of a line that is perpendicular to the line y=-3x
slope of a line that is perpendicular to the line y=-3x is 1/3
What is slope of line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.
y=-3x
tanθ=slope = y/x= -3
Slope(M) of this equation is -3
Let the slope of its perpendicular line is m
As we know that the product of the slopes of perpendicular lines is -1
so,
M*m =-1
-3 * m= -1
m=1/3
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) a sector of a circle of radius 24 m has an area of 288 m2. find the central angle of the sector in radians.
The Central Angle of the sector in radians is 0.3184 π .
In the question ,
it is given that ,
the radius of the sector = 24 m
the area of the sector = 288 m²
we know that the Area of the sector of the circle is given by the formula
Area = πr²(θ/360)
Substituting the values , we get
288 = (3.14)*(24)²*(θ/360)
θ = (288*360)/((3.14)*(24)²)
θ = 1,03,680/1808.64
θ = 57.32°
converting the angle to radian ,
we get
θ = 57.32° × π/180 radian
= 0.3184 π
Therefore , The Central Angle of the sector in radians is 0.3184 π .
The given question is incomplete , the complete question is
A sector of a circle of radius 24 m has an area of 288 m² . find the central angle of the sector in radians .
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Identify all values that make this equation true
x-3/x = -8/x+3
The values of x that makes the equation (x - 3)/x = - 8/(x + 3) true are x = - 9 and x = - 1.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given equation is (x - 3)/x = - 8/(x + 3).
(x + 3)(x -3) = - 8x. (a² - b² = (a + b)(a - b))
x² - 9 = - 8x.
x² + 8x - 9 = 0.
x² + 9x - x - 9 = 0.
x(x + 9) - 1(x + 9) = 0.
(x + 9)(x + 1) = 0.
x + 9 = 0 Or x + 1 = 0.
x = - 9 Or x = - 1.
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1) The USA Today claims that 44% of adults who access the Internet read the international news online. You want to check the accuracy of their claim by surveying a random sample of 120 adults who access the Internet and asking them if they read the international news online. Fifty-two adults responded "yes. " Use a 95% confidence interval to test the newspaper's claim
The accuracy of the USA Today claim about the access the internet read the international news online by adults is 0.089.
We have provided in question that,
adults who access the internet read the international news online is 44% i.e 0.44
this provides the interval ( .344, .522)
Using the estimation formula (E) or margin error
= Z-value √(p (1-p)/n
where, p --> Sample proportion of sucess
1-p = q ----> sample proportion of failure
n ---> sample size
Now, a random sample of 120 adults is considered for survay.
i.e., n= 120 and 52 adults out of 130 are responded "yes" for reading international news online.
so, p = 52/120 = 0.433 and 1-p = q = 1-0.433
= 0.567
Confidence interval to test the newspaper's claim is 95% . Thus, the Z-value for 95% confidence interval is 1.96..
putting the value in above formula we get,
E = 1.96 √0.433×0.567/120 = 1.96√0.2455/120
= 1.96√0.00204 = 1.96× 0.0452 = 0.0889 ~ 0.089
So, accuracy is 0.089 to support the claim of newspaper.
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The perimeter of a park is 10 km . A wall is being constructed around it . If 4/5 of the wall has been constructed , how much part of the wall is incomplete
Perimeter of the park = 10km
Part of the wall's construction completed =
[tex] \frac{4}{5}th \: of \: perimeter [/tex]
=
[tex] \frac{4}{5} \times 10[/tex]
(cancel 5 and 10)
=
[tex] \frac{4}{1} \times 2[/tex]
= 8km
•.• Part of the wall left (to be constructed) = 10km - 8km = 2km
HOPE THIS HELPS YOU
Researchers at Texas A&M studied the effect of using standing height desks on the energy expended by nine elementary school students. In their paper about the study, they reported descriptive statistics for the nine students. These descriptive statistics were expressed as a mean plus or minus a standard deviation. One such descriptive statistic was the weight of students before using the standing desks, which was reported as 27.0±7.9 kilograms.
Q: What is the standard error of the mean?
The standard error of the mean is 2.63.
What is standard error?The standard error simply means the statistical term that's used to measure the accuracy through which the sample distribution illustrates a population by using the standard deviation.
In this case, the effect of using standing height desks on the energy expended by nine elementary school students was studied.
The standard error will be:
= s /✓n
where
s = standard deviation
n = number of students = 9
= 7.9 / ✓9
= 7.9 / 3
= 2.63
The standard error is 2.63.
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The members of a school club are selling tickets for a fundraiser. The goal for the fundraiser is to earn $50.00 each day from ticket sales. The list below shows the percent of the goal reached each day.
- On the first day, the members earned 90% of their daily goal.
- On the second day, the members earned 6% more than their daily goal.
- On the third day, the members earned 14% less than their daily goal.
How much money, in dollars, did the members earn from ticket sales on all three days?
(please answer someone i need to ace math)
Answer:
Step-by-step explanation:
The goal for the fundraiser is to earn $50.00 each day
90% of 50= $45
106% of 50=$53
86% of 50=$43
after the three days they earned:
45+53+43=$141
Members earn $141 from ticket sales on all three days.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
The members of a school club are selling tickets for a fundraiser.
The goal for the fundraiser is to earn $50.00 each day from ticket sales. The list below shows the percent of the goal reached each day.
1).
On the first day, the members earned 90% of their daily goal.
90% of 50
= 90 x 50 / 100
= 4500/100
= $45
2).
On the second day, the members earned 6% more than their daily goal.
That means,
50 + 6% of 50
= 50 + 6 x 50 / 100
= $53
3).
On the third day, the members earned 14% less than their daily goal.
That means,
50 - 14% of 50
= 50 - 14 x 50 / 100
= $43
The total earning = $45 + $53 + $43
= $141
Therefore, $141 is the total earning.
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The larger of two numbers is 12 more than twice the smaller. The larger number is 36. What is the smaller number?
Answer:
The smaller number must be 12
Step-by-step explanation:
Ignoring the second sentence we can make an expression from the question :
x is larger number
y is the smaller number
x = 2y + 12
Now we substitute 36 for x and solve for y :
36 = 2y + 12
Subtract 12 from both sides :
24 = 2y
Divide both sides by 2 :
12 = y
y = 12
The smaller number must be 12.
But let's check :
12 × 2 = 24
24 + 12 = 36
✅
Hope this helped and have a good day
Slope
=
1
2
y-intercept = 0
Answer:
[tex]y=\frac{1}{2}x[/tex]
Step-by-step explanation:
I don’t know exact what is being asked but I got this
slope intercept form is y=mx+b
m=slope
b=y intercept
[tex]y=\frac{1}{2}x+0[/tex]
[tex]y=\frac{1}{2}x[/tex]
Hopes this helps please mark brainliest
A dealer sold 200 racquets. some were sold at rs 180 each and the rest at rs 330 each. the total receipts from these sales were rs 48000. how many racquests did the dealer sell at rs 180 each?
Answer:
120
Step-by-step explanation:
Number sold at rs180 = x
Number sold at rs330 = y
x + y = 200
180x + 330y = 48000
x = 200 - y
180(200 - y) + 330y = 48000
36000 - 180y + 330y = 48000
48000 - 36000 = 330y - 180y
12000 = 150y
12000/150 = y
y = 80
x = 200 - 80
x = 120