Answers
========================================================
Explanation:
Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.
If x+y = 180, then y = 180-x.
Plug this into the equation your teacher gave you
x/y = 3/7
x/(180-x) = 3/7
7x = 3(180-x) ... cross multiply
7x = 540 - 3x
7x+3x = 540
10x = 540
x = 540/10
x = 54
Use this to find y
y = 180-x
y = 180-54
y = 126
Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.
Divide both parts of the first fraction by 18 to fully reduce.
Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees
Related Questions
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used
Answers
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35
Answers
this geometric sequence?
What is the explicit formula for
8, 4, 2, 1, ...
Answers
Answer:
D
Step-by-step explanation:
the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)
the formula for an explicit geometric formula is :
[tex]a_{n} = a_{1} * r^{(n-1)}[/tex]
plug in your numbers :
[tex]a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}[/tex]
When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over
Answers
Answer:
The total price is $9.30
Step-by-step explanation:
Price of the orders of popcorn= $5.25
Price of the drinks= $4.05
The points (3,6) and (5,12) lie on the graph of a linear equation. Is (4,8) a solution of the same linear
equation? Explain.
Answers
After finding the equation of the line, it is found that:
Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear equation.
------------------------
Equation of a line:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
------------------------
Finding the slope:
Given two points (x,y), the slope is given by change in y divided by change in x.
Points (3,6) and (5,12)Change in y: 12 - 6 = 6Change in x: 5 - 3 = 2Slope: [tex]m = \frac{6}{2} = 3[/tex]Thus:
[tex]y = 3x + b[/tex]
------------------------
To find the y-intercept, we replace one of the points into the equation. I will replace (3,6). Thus:
[tex]6 = 3(3) + b[/tex]
[tex]b = 6 - 9 = -3[/tex]
Thus, the equation of the line is:
[tex]y = 3x - 3[/tex]
------------------------
Is (4,8) a solution of the same linear equation?
We have to replace x by 4 and y by 8, and see if it results in an identity. So
[tex]8 = 3(4) - 3[/tex]
[tex]8 = 12 - 3[/tex]
[tex]8 \neq 9[/tex]
Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear equation.
A similar problem is given at https://brainly.com/question/16024991
Convert 7.5 gallons to quarts using a unit multiplier.
Answers
Answer:
7.5 Imperial Gallons = 30 Imperial Quarts
Hi there!
»»————- ★ ————-««
I believe your answer is:
30 qt.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
There are 4 quarts in a gallon.7.5 * 4 = 30
7.5 gal. = 30 qt.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The number has 2022 digits 7 when divided by 15, what is the decimal part of the quotient?
Answers
Answer:
7 is divided by 15 =0•4666666667
a store charges 25 cents for each ruler and 5 cents for each penicl that it sells. if sarah bought r, rulers and p penicls from the store, which of the following repersents the amount, in cents, that the store charged her?
Answers
Answer:
Total=(0.25(p))+(0.05(r))
replace the letter value with the # of items and solve using equation
Prove hat the ditance between any two points inside triangle ABC is not greater than half the perimeter of ABC
Answers
Answer:
It is not because the half the perimeter is not only one side but another half side of the triangle, and the distence between two points in a triangle can never become longer then the length of one side.
Step-by-step explanation:
The math part I am unsure of because you did say prove but let me know if this helps. Thanks!
PLZ ANSWER QUICK
Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.
Answers
Answer: Answer is in the image below.
Step-by-step explanation:
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?
Answers
the answer to this question is the slope is 43
Answer:
Therefore, the slope is 3/4
Step-by-step explanation:
An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)
Likewise, an
y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)
Now we have two points(4,0) (0,-3)
To find the slope given two points, we use the formula
rise÷run , or y2−y1÷x2−x1 .
Plug in the given points into the formula
-3-0/0-4
-3/-4
3/4
Therefore, the slope is 3/4
Hope this helps!
Write a function rule for table
Is it a, b, c or d?
Answers
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
round to the nearest place value shown
Answers
.......plz answer it plz
Answers
Answer:
a: x=90 b: x=45 y=45 c: y=68 x=68
What is the measure of m?
6
3
18
n
m =
=
[?]
Answers
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association. Jaylen concluded that the number of dogs causes an increase in floor cleaner usage. Is Jaylen's conclusion valid? Explain.
Answers
Answer:
Jaylen's conclusion is not valid because association does not imply causation.
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
A = 79°
Step-by-step explanation:
CosA = adjacent ÷ hypoteneous
A = Cos^-1(6÷32)
A. =. 79.19°
A= 79°
1) 4+8r-6r=6+2r
2) 1-3x=-6+7-2x-x
Answers
1:-
[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]
[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]
[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]
[tex]\\ \sf \longmapsto 0=2[/tex]
[tex]\\ \sf \longmapsto r=\infty[/tex]
2:-
[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]
[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]
[tex]\\ \sf \longmapsto 0=0[/tex]
[tex]\\ \sf \longmapsto x=\infty[/tex]
upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?
Answers
The Annuity payment will be "65,209.35 Taka". A further solution is provided below.
Given:
Monthly payment,
= 3000 Taka
Interest rate,
= 6% (compounded monthly)
Time,
= 18 years
The Future value will be:
→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]
By putting the values, we get
[tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]
[tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]
[tex]=1,162,059.58 \ Taka[/tex]
hence,
The Annuity payment will be:
→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]
[tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]
By substituting all the values, we get
[tex]=65,209.35 \ Taka[/tex]
Thus the correct answer is "65,209.35 Taka".
Learn more the Annuity payment here:
https://brainly.com/question/8462185
Enter the repeating digit.
Answers
Answer:
Does the answer help you?
Answer:
6
Step-by-step explanation:
Dividing 2 by 3 gives you a repeating decimal of 0.6666...
To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answers
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
sam leases a car for 24 months. the car will cost him $7,000 if he decides to buy it at the end of the lease. What term describes the $7,000
Answers
Answer:
Residual value
Please help quick pleaseeeeeeeeeeee
Answers
Answer:
think this one
Step-by-step explanation:
the answers there
i think
[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]
Answers
Answer:
x = 8/3
Step-by-step explanation:
Copy the right side of the given to the right side of the equation.
sqrt(x - 5) = sqrt(3 - 2x) Square both sides.
x - 5 = 3 - 2x Add 2x to both sides
2x + x - 5 = 3 Combine
3x - 5 = 3 Add 5 to both sides.
3x = 3 + 5 Combine
3x = 8 Divide by 3
x = 8/3
Find the ratio of 5 degree and (pi/6)^c
Answers
Which two repeating decimals are equivalent to 10/11 A b c or D
Answers
Answer:
I think it is 0.909090909090. Hope this helped.
Step-by-step explanation:
Is -√15 an imaginary or irrational number?
Answers
Answer:
irrational
[tex]\sqrt{-15}[/tex] would be imaginary
Step-by-step explanation:
Hey there! I'm happy to help!
An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.
An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:
i²=-1
so
√-1=i
We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.
We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....
Have a wonderful day and keep on learning :)
Pls answer my question ty ;)
Answers
Answer:
x=11
Step-by-step explanation:
5x+7=62
5x=62-7
5x=55
x=11
Find the slope and the y-intercept of the line.
- 3x - 4y= -20
Write your answers in simplest form.
Answers
Answer:
The slope is -3/4 and the y intercept is 5
Step-by-step explanation:
- 3x - 4y= -20
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Solve for y
Add 3x to each side
- 3x - 4y+3x=3x -20
-4y = 3x-20
Divide by -4
-4y/-4 = 3x/-4 -20/-4
y = -3/4 x+5
The slope is -3/4 and the y intercept is 5
Answer:
Slope: [tex]\displaystyle-\frac{3}{4}[/tex]
Y-intercept: 5
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
[tex]-3x-4y=-20[/tex]
To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.
Add 3x to both sides:
[tex]-3x-4y+3x=-20+3x\\-4y=3x-20[/tex]
Divide both sides by -4:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
Now, we can identify [tex]\displaystyle-\frac{3}{4}[/tex] to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
[tex]y=mx+b[/tex]
I hope this helps!
Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?
Select the correct prices in the table.
$12 $13 $14 $15
Answers
Answer:
The answer is actually 12 and 13.
Step-by-step explanation:
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.
We have given that the table,
What is the prices?Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
To learn more about the price visit:
https://brainly.com/question/1153322
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