Answers
Answer:
You can find out x and y by solving these equations simultaneously.
First case:
according to the opposite angle theorem, (18y+5)° = (10x-61)°
Now let's simplify them;
18y-10x = -66
y= (10x-66) ÷ 18......................(i)
Second case:
Around that centre, it is always 360°.
And the angle opposite to the (x+10)v is also (x+10)°.
And sum of these 4 angles is 360°.
(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°
18y + 12x -36 = 360°
18y + 12x = 396...........................(ii)
Now replace the value of y from (i) into (ii):
18 ((10x-66) ÷ 18) +12x =396
(10x-66) +12x = 396
22x -66 = 396
22x = 462
x = 21
Now let's put this value of x into our equation (i):
y= (10(21)-66) ÷ 18
y= 8
Cheers :)
Related Questions
For three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all?
Answers
ADD YOUR ANSWER or three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all?
Question
For three months, Mr. Hall's class held a fun fair to raise money for charities. The funds raised are shown in the table. The owners of the grocery store and pizza restaurant said they would each donate the same amount raised at the fun fairs. How much will be donated to charities in all?
find the mean of the given data 8,7,5,9,6,13
Answers
The mean of the data is 8.
Mean :Given data are,
[tex]8,7,5,9,6,13[/tex]
Mean is computed as divide the sum of all data by total number of data.
Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]
Number of data[tex]=6[/tex]
[tex]Mean=\frac{48}{6}=8[/tex]
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How can you translate a verbal sentence into an algebraic equation? Explain.
Sample answer: First you should identify the , 1 of 4.
Select Choice
quantity or quantities for which you are trying to solve, and assign , 2 of 4.
Select Choice
. Then you should look for key words or phrases that can help you to determine , 3 of 4.
Select Choice
that are being used. You can then write the , 4 of 4.
Select Choice
using the numbers that you are given and the variables and operations that you assigned.
Answers
The mathematical expressions are given as
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the verbal sentence, the meaning of using of indicates the multiplication of numbers.
The mathematical expressions will be used as:-
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
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Can someone help me with number 12 ASAP please
Answers
Answer:
[tex]x > 1[/tex]
x is greater than 1
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answers
Answer:
2 1/2 per piece
Step-by-step explanation:
Select all of the expressions that are equivalent to 4v5.
Answers
Answer:
The answer is A and D.................................
how can i get more points on here, and by that i mean where do i go to answer questions?
Answers
Answer:
Go to the botom of the page
Step-by-step explanation:
i don't really understand this??....
Answers
Answer:
Part 1
its asking you to find the slope of the given lines by using the points that they have plotted on the lines
first you need to figure out what the points are, then insert it into the formula
the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]
Part 2:
its asking you to find the slope using the points that are written in each box
again, just substitute it into the formula
the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]
1. James wants to buy snacks for his friends for a movie. The cost of one box of popcorn
is $3 and the cost of one soda is $2 but James only has $15 to spend. Write and
equation to represent this situation. Remember to define the variables!
2. If James buys 3 boxes of popcorn how many sodas can he buy?
Answers
Answer:
1.) 15-3-2=x
2.) He can buy 3 sodas
Step-by-step explanation:
1.) 15 is how much he has, -3 is the price of the popcorn, -2is the price of the soda. =x is what needs to be solved in the equation (its 10 if you need the answer)
2.) He can buy 3 sodas because 3 boxes of popcorn is $9 since one box is $3, he has $15 you take away $9 and you are left with $6 and 6 divided by 2 is 3.
The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber works a maximum of 8 hours per day.
For one day a work, what is the range of the function for this situation?
Answers
Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?
Answers
Answer:
384
Step-by-step explanation:
No. of students in the club last year = 320
No. of students in the club this year increased by 20%
To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)
That is,
= 20% * 320
= 20/100 * 320
= 64
Finding the number of students in the club this year
320 + 64 = 384 students
NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase
Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
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The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answers
Answer:
4+12+20=j
3+9+15=m
j(answer) + m(answer)
Step-by-step explanation:
1/4+1_4+1/4= what
pls help fast
Answers
Answer:
3/4
Step-by-step explanation:
Pls help due tonight, I just found the assignment !
Will give brainly for the correct answer
Answers
Answer:
1) slope is -1/3
2) slope is 3 or 3/1
3)slope is -3/2
4)slope is3/2
5)slope is 5/3
6)slope is 7/3
Step-by-step explanation:
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
Answers
show work:
=(x+-7)(2x+-5)
=(x)(2x)+(x)(-5)+(-7)(2x)+(-7)(-5)
=2x^2-5x-14x+35
=2x^2-19x+35
whole numbers are _____ Intergers
Answers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
Rewrite the following equation in standard form.
y + 4 = 5(x - 8)
Answers
Answer:
5x-y-36=0
Step-by-step explanation:
y+4=5x-40
5x-y=36
What is the solution to
the following equation?
-x - 6(x-5) = 86
Answers
Answer:
Step-by-step explanation:
Simplify the terms first also what is the question asking what x is equal to? or just to simplify the terms~ if u answer this i can help more dm me maybe~!
Answer:
x = -8
Step-by-step explanation:
-x -6(x-5) = 86
Distribute
-x -6x +30 = 86
Combine like terms
-7x + 30 =86
Subtract 30 from both sides
-7x = 56
Divide by -7
x = -8
Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries.
Answers
Answer:
-1.8x² - 1.61x - 37.45 > 0
Step-by-step explanation:
Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries?
Answer:
The cost of packaging 95 packages of strawberries is $2.29(95)=$217.55.
20-cent increase in the cost of a package of strawberries leads to 9 less packages to be sold. If x represent the number of 20-cent increases in the cost of a package of strawberries. the cost of packaging is:
Cost = (2.29 + 0.2x)(95 - 9x)
For a revenue of atleast $255:
(2.29 + 0.2x)(95 - 9x) > 255
217.55 - 20.61x + 19x - 1.8x² > 255
-1.8x² - 1.61x + 217.55 > 255
-1.8x² - 1.61x + 217.55 - 255 > 0
-1.8x² - 1.61x - 37.45 > 0
Julio walks 3 ½ miles in 1 ¼ hours.
Answers
Answer:
so whats the question??
Step-by-step explanation:
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is 1.96 straight x left parenthesis StdDev right parenthesis divided by square root of straight N)
Answers
Answer:
The value is [tex]E =19.6 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of Jo cows is [tex]\= x_1 = 1350[/tex]
The standard deviation of Jo cow is [tex]s_1 = 50[/tex]
The mean of Val cows is [tex]\= x_2 = 1420 [/tex]
The standard deviation of Val cows is [tex]s_2 = 50[/tex]
The sample size for both Val and Jo is n = 25
Let assume that the level of significance is [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Hence margin of error for Jo is
=> [tex]E = 1.96 * \frac{50}{\sqrt{25} }[/tex]
=> [tex]E =19.6 [/tex]
Please help me with this question!
Answers
Have you heard about Newton's Revenge, the new roller coaster? It is so big, fast, and scary that rumors about it
are already spreading. Some people are worried about the tunnel that thrills riders with its low ceiling.
The closest the ceiling of the tunnel ever comes to the seat of the roller-coaster car is 200 cm. Although no
accidents have been reported yet, it is said that very tall riders have stopped riding the roller coaster.
Answers
where is the roller coaster
∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
Answers
Answer:
46 units i think... not sure tho
Step-by-step explanation:
Solve the equation in the interval from 7pi/2 to 13pi/2
All choices are rounded to the nearest hundredth.
Your answer should be in radians.
sin(x) = 0.95
Choose all answers that apply:
Answers
Answer:
Step-by-step explanation:13.82, 14.47, 20.10
What is 3x+7x=9-18? Math is confusing once you get into 7th grade.
Answers
Answer:
x-(-0.9)
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0
Solve::10x+9 = 0
Subtract 9 from both sides of the equation::10x = -9
Divide both sides of the equation by 10::x = -9/10 = -0.900
Answer:
x = -0.9Step-by-step explanation:
3x+7x=9-18
10x = -9
x = -9 / 10
x = -0.9
whats 105 to the power of 20 pls help its big question
Answers
Answer:
lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40
Step-by-step explanation:
Answer:
2.65329771×10 to the power of 40
Step-by-step explanation:
Use scientific notation to get the simplest answer
On a certain day, the exchange rate was 60 U.S. dollars for 50 euro. How many U.S. dollars were 80 euro worth that day?
URGENT!
Answers
Answer: 90 U.S. dollars
If 60 U.S. dollars represwnt 50 euros, we will add.
80 euros represent 90 dollars because: there are 10 more euros than dollars.
Hope this helps!
Answer: 90
50:60 = 5:6
80:90 = +10
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answers
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
(11x - 1)
(20x – 3)
151°
Answers
Answer:
x= 1.6 degrees
Step-by-step explanation:
to find the missing angle 180 degrees - 151 degrees
29° is the missing angle at the bottom ryt of the triangle.
all angles in triangle add upto 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x= 1.6°
A polygon with three edges and three vertices is called a triangle.
x=1.6° is its value.
Explain about the triangle?Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.
The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.
The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.
To identify the omitted angle between 180 and 151 degrees
The triangle's bottom right corner lacks a 29° angle.
triangle's angles sum up to 180°
so, 20x-3°+11x-1°+29°= 180°
31x=180°-25°
x =1.6 degree
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