Answers
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.
Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5
Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7
Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6
What are the Angles Formed by a Transversal and Parallel Lines?The congruent angles that are formed are:
Alternate interior anglesCorresponding anglesAlternate exterior anglesThe supplementary angles formed are: Same-side interior/consecutive angles.
Therefore, the following are true of the angles shown in the diagram given:
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6Learn more about angles on:
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Related Questions
I’m having trouble can someone find this answer out
Answers
Answer:
f(x) = 13 when x = 10.
Step-by-step explanation:
[tex]f(x)=\frac{x}{2}+8[/tex]
[tex]f(10)=\frac{10}{2}+8[/tex]
[tex]f(10)=5+8[/tex]
[tex]f(10)=13[/tex]
Therefore, f(x) = 13 when x = 10.
13
Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13Hope it helps.
Do comment if you have any query.
8) A company sells small and large photo books. Each page of a small photo book costs
the same. The table below shows the relationship between the number of pages in a
small photo book and the total cost of the photo book.
Part A) What is the cost per page for a small photo book?
Small Photo Book
Number of Pages
Total Cost ($)
30
20
32
48
57
Answers
The cost per page is $1.5 and 38 pages of the book will cost $57
ProportionsData;
number of page = 20cost = $30To solve this question, we have to know the cost of one page of the book.
In the first scenario, 20 pages cost $30, let's find the cost of one page here.
[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]
We can confirm our answer here by testing with the second scenario;
[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]
Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages
[tex]z = \frac{57}{1.5} \\z = 38[/tex]
From the calculations above, 38 pages of the book will cost $57.
Learn more on proportions here;
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An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
There are
ways that the customer can order a drink.
Answers
Answer:
Step-by-step explanation:
Drinks:
number of drinks - 2Number of sizes - 4Number of choices - 4 * 2 = 8Answer: 8
State six ordered pairs for this function
f(x)=.5x+3
Answers
(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.
(1,8)
(2,13)
(3,18)
(4,23)
(5,28)
Please help i will give brainliest to the right answer
Answers
Step-by-step explanation:
Jacinta is completely right while Tess made a mistake on the 3rd step.
she mistakenly plugged in the y value as X, and plugged in the X value as y.
so Tess is incorrect
Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4
Answers
Answer:
[tex]\sf y=-\dfrac12x+2[/tex]
Step-by-step explanation:
y-intercept is when x = 0, so (0, 2)
x-intercept is when y = 0, so (4, 0)
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]
Slope-intercept form of linear equation: [tex]\sf y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given:
[tex]\sf m=-\dfrac12[/tex]b = 2[tex]\sf \implies y=-\dfrac12x+2[/tex]
Fill in the blank
The composite figure shown is made up of a cylinder and a
12 cm
4 cm
20 cm
Answers
Answer: cone
Step-by-step explanation:
The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.
The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.
PLEASE HELP ME
Directions: Construct a frequency distribution with six intervals for the given data below. Then determine the following: (10 points) a. Range b. Class size c. interval with highest frequency
Number of kilograms of rice consumed by 30 families in a month
60 33 21 57 24 54 52 50 42 60 20 39 23 42 29 46 40 25 38 35 43 35 38 38 28 58 20
Answers
The frequency distribution table shows the distribution of the rice consumed by the families
The range is 40The class width is 7The interval with the highest frequency is 34 - 40How to construct the frequency table?From the question, we have the interval to be:
Interval = 6
Start by calculating the range
Range = Highest - Least
This gives
Range = 60 - 20
Range = 40
Calculate the class width
Width = Range/Interval
This gives
Width = 40/6
Width = 7
So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61
Using the above classes, we have the following frequency distribution table.
Class Frequency
20 - 26 6
27 - 33 3
34 - 40 7
41 - 47 4
48 - 54 3
55 - 61 4
From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40
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Each hamburger patty is 1/8 pound. Drag the correct equation to each amount to show how many 1/8 pound hamburger patties can be made.
Answers
Answer:
For 3 pounds, 3 ÷ 1/8 = 54
For 7 pounds, 7 ÷ 1/8 = 56
The set of numbers 1, 5, 13, and 24 contains values for m. What values of m makes the equation below true?
6m+12=42
Answers
Answer:
5
Step-by-step explanation:
Solve the equation first for "m"
6m + 12 = 42
6m = 30 (subtract 12)
m = 5 (Divide by 6)
5 is your answer
Hope this help! Please mark me brainliest, it helps!
Help me please. Again?
Answers
Answer:
See attached image.
Step-by-step explanation:
I need help with this please?
Answers
1320
Step-by-step explanation:
the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320
help i dont know how to do this and i forgot the study guide
Answers
B is the right answer
I hope it will help you
kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesa
amount they raise is £172.50. How much do they each raise?
THANK U
Answers
Answer:
Kirsty raised £143.75 and Flo raised £28.75
Step-by-step explanation:
x = money raised by Flo
5*x = money raised by Kirsty
6*x = money raised together
6x = £172.50
Now divide each side by 6:
x = £172.50:6
x = £28.75 (money raised by Flo)
£172.50-£ 28.75 = £143.75 (money raised by Kirsty)
Kirsty raised £143.75 and Flo raised £28.75
The radius of the circle with a central angle of 138° that intercepts an arc with length 9 miles is miles?
Answers
Step-by-step explanation:
\begin{gathered}x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11\end{gathered}
x
2
+y
2
+17=138
x
2
+y
2
=138−17
x
2
+y
2
=121
x
2
+y
2
=11
2
Radius=11
Mr. Ferarra is planning a field trip to the history museum for all of the students at his middle school. The school's buses can only transport 144 students. Mr. Ferarra needs to rent more buses for the remaining 290 students.
Answers
Answer:
[tex]s - 144 = 290[/tex]
[tex]s = 434[/tex]
Step-by-step explanation:
the keyword is remaining. Meaning the teacher slready has 144 reserved but needs to get 290 spots more.
A right triangle has one angle that measures 60°. What is the measure of the other acute angle?
Answers
Answer:
30°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in any triangle is 180°. A right triangle has one angle that is 90°, so the sum of the remaining two acute angles is 180° -90° = 90°. That is, the acute angles in a right triangle are complementary.
__
The other acute angle is ...
90° -60° = 30°
Resulting set please help !!!!
Answers
The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
The given set is U(a,e,i,o,u), in which,
[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]
[tex]X\cup Y[/tex]For the union, write all the terms of X and Y set.
[tex]X\cup Y=(a,e,i,o,u)[/tex]
[tex]X\cap Z[/tex]For the intersection, write all the common terms of X and Z set.
[tex]X\cap Z=(i,o)[/tex]
[tex]X\cap Y\cap Z[/tex]For the intersection, write all the common terms of X , Y and Z set.
[tex]X\cap Y\cap Z=(o)[/tex]
Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
Learn more about the ordered pair here;
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find the sum of the first 10 terms 125,50,20
Answers
Answer:
208.3
Step-by-step explanation:
Since the numbers are decreasing as multiples, its a geometric progression.
[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]
Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon
Answers
The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression
The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)How to interpret the expression?The expression is given as:
3.25(g-1) + 2.75(3)
The above expression means that:
-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rentRead more about linear expressions at:
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find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1
Answers
Answer:
The answer is 4x² – x – 4 = 0
Step-by-step explanation:
1st Method Given;Sum of zeroes = α + β = (-b)/a = 1/4Product of zeros = αβ = c/a = 1Where,
a = 4b = 1c = 4So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0
2nd MethodSum of zeroes = 1/4
Product of zeros = 1
Remember this formula
x² – (α + β)x + αβ
x² – 1/4x + 1
4x² – x – 4 = 0
Thus, The quadratic polynomial is
4x² – x – 4 = 0.
Helpppppppppppp me out
Answers
Answer:
1.898×[tex]10^{27}[/tex]
2×[tex]10^{27}[/tex]
Step-by-step explanation:
so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)
when dealing with standard form, the unit before the comma must always be from numbers one to nine, always!!!the digits before the comma must never be zero or anything above 9.99999... never!!! after placing your comma all you have to do is count the number of digits (or in this case, zeros) that number of digits after the comma then becomes the power your 10 is being raised to.it is crucial for you to remember that 10, otherwise your number won't be in it's standard formI hope you'll find this helpful
please correct any and all errors found :)
A dog eats 4 pounds of food per day. Write and evaluate an expression to find how many pounds of food does 10 dogs eat in 7 days.
15 pts and Brainiest for clearest ans.
Pls answer as soon as possible, but answer correctly and not for the points and be clear!
If there's a Tutor, pls answer.
Answers
So if you have 10 dogs you would multiply 10 by 4 to give you 40 which is how much they eat in one day.
Second you multiply 40 by 7 to 280 which is the amount fed over seven days.
10 x 4 = 40
40 x 7 = 280
I hope this helps:)
PLS PLS PLS PLS HELP ME I HAVE BEEN STUCK FOREVER!!!!
The sum of 3 consecutive integers is 96. Find the 3 integers. Show all work and label answer.
Answers
add 31+32+33 to get 96
x + 1 is the second number
x + 2 is the last number
so, the equation would be:
x + x + 1 + x + 2=96
add together the x’s and numbers to get:
3x + 3 = 96
minus 3 from both sides:
3x=93
divide both sides by 3:
x=31
so, the first number is 31, then 32, and 33
hope this helped!!
What is the median mean mode and range of 1,3,5,8,10?
Answers
Answer:
Below!
Step-by-step explanation:
Given data: 1, 3, 5, 8, 10
Determining the median of the data:
The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.
⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3Determining the mean of the data:
The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.
⇒ Mean = (27)/5⇒ Mean = 5.4Determining the mode of the data:
The mode of the data is the number that has repeated the most.
⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated onceSince all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.
Determining the range of the data:
The range of the data is the difference of the largest and smallest number (As said above).
⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9Answer:
Median: 5
Mean: 5.4
Mode: 1, 3, 5, 8, 10
Range: 9
Step-by-step explanation:
Median: the middle value.
Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).
Mode: the number that is most frequent.
Range: the difference between the biggest and smallest values.
First, make sure your data set is in numerical order: 1, 3, 5, 8, 10
Median: 5
1, 3, 5, 8, 10
Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27
27/5 = 5.4
Mode: 1, 3, 5, 8, 10
1, 3, 5, 8, 10
All of them, as they all appear once.
Range: 9
10 - 1 = 9
Hope this helps!
Find the volume it’s homework I need help with
Answers
Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain
Answers
Answer:
A = 0
__________________________________________________________
SolveAlthough the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.
0 ÷ a(0) = 0
a(0) ÷ a(0) = 0
__________________________________________________________
Questions?Ask in the comments.
rectangular floor is 8 yd long and 3 yd wide. what is the area in square feet?
Answers
Answer:
216 square feet
Step-by-step explanation:
First we must convert both dimensions to feet. 1 yd = 3 feet
8 yd = 24 feet and 3 yd = 9 feet
We got the yd by multiplying by 3 to get the number of fett.
Area of a rectangle = base * height
24 feet * 9 feet = 216 square feet
Find the area
A. 775
B. 625
C. 475
Answers
Answer:
625 in²
Step-by-step explanation:
⇒ Area of the figure = Area of the rectangle + Area of the triangle
Finding the base of the triangle
b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.Finding Area
A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²Below are the score of 30 students in an oral interview. use the information to find the average score.
Score: 1 2 3 4 5
frequency: 7, 7, 7, 12, 3
Answers
Step-by-step explanation:
the average score would be 3 i think