Answers
The angles shown are opposite interior angles meaning they are congruent. if you plug in 20 for x, they add up to be the same number, unlike the other options. so the answer is D
Answer:
[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]
Step-by-step explanation:
If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.
So, if the angles are congruent, we can set them equal to each other.
3x-357x-115[tex]7x-115=3x-35[/tex]
Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.
115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.
[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]
3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.
[tex]7x-3x=3x-3x+80 \\4x=80[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
[tex]4x/4=80/4\\x=20[/tex]
If the lines are parallel, then x=20 so the angles are congruent.
Related Questions
The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.
Answers
Answer:
look at the screenshot
Step-by-step explanation:
look at the screenshot
The table for total repayment and interest paid for each loan offer:
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Formula; Simple Interest(I) = P × R × T/100
For the 1-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)
= $37,275
Total interest paid = $37,275 - $35,000
= $2,275
For the 5-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest
= $35,000 + (0.082 x $35,000 x 5)
= $41,570
Total interest paid = $41,570 - $35,000 = $6,570
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
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A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no
Answers
Answer:
that is$ 160 ok alright jf
I really suck at math. Can anyone give me good tips to remembering math (algebra and geometry especially) or give me good websites to look into?
PLEASE HELP!!!
Answers
Answer:
https://www.mathpapa.com/algebra-calculator.html
Step-by-step explanation:
Mathpapa is a pretty good and reliable algebra calculator would say to use it. It also has Inequalitys and system of equations calculators.
Answer: Symbolab, and this site are going to carry you through algebra.
Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.
Answers
Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
which equation has solutions of -2 and 3?
A. y= x^2+x-6
B. y= x^2-x-6
C. y=x^2 +5x+6
D. y=x^2-5x+6
Answers
Answer:
b. y= x^2-x-6
Step-by-step explanation:
i hope this helps :)
An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
118, 62
Step-by-step explanation:
We can set a system of equations where x and y are the two angles and x is the larger one
x+y=180
x-y=56
If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.
Evaluate 3x^2, when x is 5
Help meee
Answers
Answer:
75
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
3(5^2) = 3(25) = 75
You start at (1,-5). You move left 5 units. Where do you end?
Answers
Answer:
QUESTION:
You start at (1,-5). You move left 5 units. Where do you end?
ANSWER:
You end at (-4,-5)
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
1-5=-4
Moving left and right is x-axis
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answers
Answer:
Step-by-step explanation:
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
The question is in the png
Answers
Answer:
2 and 4 only
Step-by-step explanation:
hope it helped!!!
Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.
His rent, electricity and labor costs for his store each week is $1850.00.
He sells each cupcake for $5.50.
What is the minimum number of cupcakes needed to make a profit?
337
359
360
5286
Answers
Answer:
360
Step-by-step explanation:
how do you write length is twice the width as an expression.
Answers
Answer:
width=x
length =2x.....
Answer:
l = 2w
Step-by-step explanation:
note:
l = lenght
w = width
so lenght is 2 times width is -
l = 2w
HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.
Answers
Son el B el C y el E
Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?
The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?
Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?
Answers
The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.
What is Percentage?Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Initial amount, P = $250
Rate of interest, r = 4% = 0.04
Interest amount = P × r × t, where t is the number of years = 1 here.
= 250 × 0.04 × 1
= $10
28% of the total fundraising goal = $700
Let x be the total fundraising goal.
28% × x = 700
0.28x = 700
x = 700 / 0.28 = $2500
Total number of students = 650
Sameer scored better than 78% of all students.
Number of students that Sameer scored better = 78% × 650
= 0.78 × 650
= 507
Hence all the answers are found.
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NO SCAMMERS!!!! I WILL REPORT! MAX POINTS!!!!! ARCS & ANGLES NEED TO KNOW HOW TO DO IT. ANSWERS ALSO VERY MUCH APPRECIEATED !!!FRESHMAN CLASS GEOMETRY!!!
Answers
Answer:
[i] 12x + 5 = 1/2(83 +95)
12x + 5 = 89
12x = 84
x = 7.
[ii] 9x + 7 = 1/2(198 + 7x - 8)
18x + 14 = 198 + 7x - 8
11x = 176
x = 16.
[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)
30x16 21x + 20
9x = 36
x = 4.
[iv] 20x - 4 = 360 - 2 × 72
20x = 220
x=220/20=11°
[v] 13x - 1 = 2(6x + 11)
13x - 1 = 12x + 22
x = 23.
[vi] 46 = 1/2(21x-5-x-23)
20x2892
20x = 120
x = 6.
[vii] 6x - 21 = 1/2(13x - 3-3x - 11)
12x - 4210x - 14
2x = 28
x = 14.
[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)
4x + 2 = 5x - 7
x = 9.
[ix] 9x - 4 = 180 - 76
9x - 4 = 104
9x = 108
x = 12.
pls help? :( brainliest if correct
Which two figures have the same number of bases?
A. cylinder and cone
B. triangular pyramid and cone
C. cone and triangular prism
D. triangular pyramid and cylinder
Answers
Answer:
Option C is the Correct Answer
Express in y=mx+b
3x-2y=8
Answers
What is the smallest perfect square
Answers
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.
Answers
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
Help I need the answer ASAP
Answers
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
4W = 25
Step-by-step explanation:
The hanger is balanced, so each side must have the same quantity.
There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.
Answer:
We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:
We can form the equation:
4w = 25
w = 6.25
If u need anymore help understanding let me know :)
hope this helps :0
Step-by-step explanation:
Which of the following properties is always true for a parallelogram
Answers
Answer:
C,
Step-by-step explanation:
This is because in a parallelogram the opposite angles are supposed to be congruent showing that when you draw line from opposite ends of the angles they will bisect at the middle of the parallelogram.
If you don't understand my explanation, you can comment and I make it more clear.
CAN U HELP ASAP ILL GIVE 15 POINTS AND PROLLY BRAINLIEST IT
Answers
Answer:
(2, 8) and (3, 11) --- > For example
Step-by-step explanation:
Plug in any number for x
I will use 2.
So if the equation is y = 3x + 2, then the new equation will be ...
y = 3(2) + 2
y = 6 + 2
y = 8 ----> One coordinate can be (2, 8)
Another number you could use is 3.
y = 3(3) + 2
y = 9 + 2
y = 11 ----> Another coordinate may be (3, 11)
Pleasseee I’ll give BRAINLIEST
Answers
Answer:
It’s the third option
Step-by-step explanation:
Cuz 4^2 - 2^2 equals the third option
What two numbers multiply to get 3 and add to get 6
Answers
Answer:
3
Step-by-step explanation:
Isaac has a points card for a movie theater. He receives 45 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket.
Answers
Answer: 10 visit
Step-by-step explanation:
Given
45 Points earned by signing up
11.5 points earned for each visit to the theatre
160 points are needed for a movie ticket
Suppose, after x visit he gets enough points to buy a movie ticket
[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]
So, after 10th visit, he earns a movie ticket
this is the third time and i a really annoyed as i am having my time wasted and points
plz help me
Answers
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Which are examples of unit rates? Check all that apply.
1. $45 per ticket
2. 5 shows every 3 weeks
3. 30 seats for every row
4. $100 for 5 tickets
Answers
I need help please help me!
(06.01)
Which point on the scatter plot is an outlier? (4 points)
A scatter plot is shown. Point I is located at 2 and 1, Point K is located at 2 and 5, Point J is located at 7 and 4, Point H is located at 8 and 1. Additional points are located at 1 and 7, 4 and 5, 4 and 6, 5 and 3, 7 and 2.
Group of answer choices
Point H
Point I
Point J
Point K
Answers
Answer:
k
Step-by-step explanation:
don't know
what two numbers is the square root of 23 between?
Answers
Answer:
23 lies between. 16 and 25