Answers
Answer:
x=120
y=60
Step-by-step explanation:
i) y=60 [ corresponding angles]
ii) x + 60 = 180 [linear pair]
or, x = 180- 60
therefore, x is equal to 120
Related Questions
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.
Answers
An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,
Total Cost = Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room
Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won
= 1,337,132 won
The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,
Amount left for Spending = Total Budget - Total Cost
= 2,192,896 won - 1,337,132 won
= 855,764 won
Thus, the amount left with Ian to spend is 855,764 won.
Learn more about Equation:
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Answer:
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?
a. 1,337,132 won
b. 1,026,184 won
c. 855,764 won<<<CORRECT
d. 830,456 won
Step-by-step explanation:
2022 EDGE TOPIC TEST
Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?
Please help ASAP!!
Answers
Answer:C, 9 sheets
Step-by-step explanation:
Answer: It's true, it's 9.
Step-by-step explanation:
The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit
Answers
Answer:
9
Step-by-step explanation:
12 divided by 4 is 3
3 multiplied by 3 is 3
The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be the length of the rectangle and y be the width of the rectangle
The perimeter of a rectangle = 2( l + b)
12 = 2(x + y)
(x +y) = 6
y = 6- x
The area of the rectangle = length × Width
= x × y
= x ( 6- x)
= 6x - x^2
Learn more about the area;
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The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft
Answers
Answer:
96π ft³ or 301.44 ft³
Step-by-step explanation:
Volume = Base Area x Height
V = (πr²)(h)
V = (π)(2²)(24)
V= 96π ft³
Hi
Can u please help
i will pick the best one
Answers
Find the measure of Zv.
V
D
48°
87°
E
Answers
Answer:
45°
Step-by-step explanation:
A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.
Hope this helps!
Answer:
45
Step-by-step explanation:
♤interior angles of a triangle add up to 180♤
let angle V= x
48+87+ x= 180
135+x=180
x=180-135
=45
Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.
How many feet of electrical cord did he use altogether?
Answers
Answer:
7 feet
Step-by-step explanation:
60 inches is 5 feet add the 2 feet
Solve each system by graphing. Y=x-4 and y=-x
Answers
Check the picture below.
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answers
The table has been created just we need the formula to utilise
The formula is given by
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{\sum f(x-\overline{x})^2}{n}}[/tex]
Find f(x-x^-)²It's
313.29+806.45+474.32+72.9+58.19+532.9+605.16+0+497.293360.5Now
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{3360.5}{50}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{67.21}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=8.2[/tex]
Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)
Answers
The amount of money Camden would have in his account after 12 years is equal to $2,374.3.
How to calculate compound interest.To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.
Mathematically, compound interest is given by this formula:
[tex]A=P(1+r)^t[/tex]
Where:
A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Given the following data:
Principal = $1400.
Interest rate = 4.5% = 0.045.
Time = 12 year.
Substituting the given parameters into the formula, we have;
[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]
A = $2,374.3.
Read more on interest here: brainly.com/question/24341207
will give brainliest!!
Evaluate [(40 + 5) – 321 = 9.2
- 9.3
- 8.6
- 8
- 2
Answers
Answer:
The answer should be 9.2
Step-by-step explanation:
Im lowkey kinda lost in this one ngl
A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?
Answers
The volume of the sculpture with triangular pyramid shape is 40 feet³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a pyramid is given as:
Volume = (1/3) * base area * height.
For pyramid with base of 12 feet² and height 10 feet, hence:
Volume = (1/3) * 12 * 10 = 40 feet³
The volume of the sculpture with triangular pyramid shape is 40 feet³
Find out more on volume at: https://brainly.com/question/12410983
The points go from 0 to 6 or -6. Please help asap
Answers
Answer:
either one
Step-by-step explanation:
it is going through the origin, so it is going forever in each direction
2x = 37 find solve of x
Answers
Answer:
18.5
Step-by-step explanation:
37 divided by 2 is 18.5
How do I do this? Someone please help
Answers
The volume is [tex]135cm^3[/tex]
-4x - 8 = -(5x + 3) pleasee
Answers
hopefully it's correct!!
Answer:
x = 5
Step-by-step explanation:
-(5x + 3) --> -5x - 3
-4x - 8 = -5x - 3
-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)
-4x = -5x + 5
-4x + 5x = -5x + 5 + 5x (add 5 to both sides)
x = 5
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80
Answers
The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.
Put the values in the above formula as,
[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]
In the 10 years, the refund she gets,
[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]
Interest paid by her is,
[tex]I=7594.8-5500\\I=2094.8[/tex]
Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.
Learn more about the compound interest here;
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Answer: D
Step-by-step explanation:
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answers
Answer:
B is a the answers for the question
please mark me as brainlest
Write the decimal equivalent for 9 over 5.
Answers
divide 9 by 5 u will get 1.8 as the answer
Explanation:
9 over 5 = 9/5 = 18/10 = 1.8
You can also use long division as shown below.
Or you can use your calculator to quickly get this value.
Can you help me with this
Answers
Answer:
the anwer is d
I did the math
10 to the Ninth power is 1, 000,000,000
1,000,000,000 x 8.06 = 8,060,000,000
The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?
_____ miles
Answers
Answer:
115.2
Step-by-step explanation:
Take 345.6 miles and divide it by 3 getting your answer. Have a great day!
Please do number 10. Thanks.
Answers
Answer:
379.94
Step-by-step explanation:
area of a circle is pi*radius squared. Radius is 11. 11*11=121. Now all you have to do is multiply 3.14*121. 3.14*121=379.94
The equation for the area of the circle ⇒ [tex]\pi r^2[/tex]
r: length of the radius --> 11cm[tex]\pi[/tex] --> 3.14Now lets plug in all the known values in the equation:
[tex]\pi r^2=3.14 * 11^2 = 3.14 * 121 = 379.94[/tex]
Thus it wants the answer rounded to the nearest whole number, so
Answer: 380 square centimeters
Hope that helps!
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210
Answers
Answer:
he has to pay 4980$ in tax
Step-by-step explanation:
Answer:
This question was on my test and I got a 100 so its right
Step-by-step explanation:
basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?
ASAP
Answers
$18.51
Step-by-step explanation:
assuming you dont need the cost per pencil or anything...
pro set: $27.49
basic set: $8.98
subtract basic from pro.
27.49-8.98= $18.51
Answer:
I know this is a little late but your answer is 18.51
. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.
2. how many bacteria cells will be present in the dish after 3 hours?
3.how many bacteria cells will be present after 12 hours?
Answers
Answer:
you first divide fifty out of one hundred then we multiply it by thirty
Describe the transformation to the parent to the parent function
y = -2|x+3|-1
Transformation:
Answers
Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
y = |x|
The translations are as follows:
It was multiplied by -2, hence it was vertically stretched by a factor of 2, and since it was multiplied by a negative number, reflected over the x-axis.x -> x + 3, hence it was shifted 3 units right.One was subtracted from the function, hence it was shifted one unit down.More can be learned about translation concepts at https://brainly.com/question/4521517
What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55
Answers
Answer:
5
Step-by-step explanation:
Answer:
The mean absolute deviation would be 10.
Step-by-step explanation:
I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.
Please help!
A: 128°
B: 92°
C: 36°
D: 52°
Answers
sum of triangle angles = 180
so
? = 180 - 36 - 92 = 52° => D
Find the distance between the points 4,7 and -5,7
Answers
Answer:
9
Step-by-step explanation:
Horizontal line from 4 to -5.
Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
[tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]
Thus let us plug in all the know values and solve:
[tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]
Thus the distance is 9
Hope that helps!
At Frome International train station, 35% of trains were late in a week.
In that week there were 440 trains.
Calculate how many trains were on time.
Answers
Answer: Two rational numbers between 1/3 and 1/5 are 4/15 and 7/39.
Step-by-step explanation: