50 POINTS!!!! PLEASE HELP
Examine this figure.
What postulate or theorem is used to prove∠3≅∠7?
Responses
alternate exterior angle theorem
same-side interior angle theorem
corresponding angle postulate
same-side interior angle theorem
Answers
Corresponding angle postulate
Corresponding angles:
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position.
Here we need to prove ∠3 ≅ ∠7
From the properties of the two parallel line cut by the transversal line, these angle is corresponding angles.
i.e., ∠3 ≅ ∠7 (by the properties of the corresponding angles)
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Related Questions
what is -5/12 x 8/13 in its simplest form
Answers
Answer:
-10/39
Step-by-step explanation:
I Think that thats the anwser i hope this helps.
In 1980, the average price of a home in Lake County was $93,000. By 1985, the average price of a home was $118,000. Which of the following is a linear model for the price P of home in Lake County, in terms of the year t? Let t = 0 correspond to 1980.
[A] P=25,000t +93,000
[B] P=118,000-25,000t
[C] P = 5000t +93,000
[D] P=118,000-5000t
Answers
Answer: [C] P = 5000T + 93,000
Step-by-step explanation:
(b) A shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill.
Answers
The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.
A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.
The bill of the customer was mistakenly interchanged by $45.
The sum of the two digits of the bill is 9.
Now,
9 = 9 + 0 or,
9 = 8 + 1 or,
9 = 1 + 8 or,
9 = 5 + 4 or,
9 = 2 + 7 or,
9 = 7 + 2 or,
9 = 3 + 6 or,
9 = 6 + 3
Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.
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Over 5 months, Carlos wrote 5 checks for a total of $335.75 to pay for his cable TV service. His cable bill is the same amount each month. What was the amount of the cable bill for one month of service?
Answers
Carlos pays monthly for his cable bill $67.15
How to calculate the monthly payment ?For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.
The same amount is paid for the cable bill every month.
Therefore the amount paid every month can be calculated as follows
= 335.75/5
= 67.15
Hence the amount paid monthly for the cable bill is $67.15
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What is the answer to 304✖️9
Answers
Answer:
2,736
Step-by-step explanation:
hope this helps! :)
Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would to walk to school 3 miles away. How long does it take Ben to walk to the library?
Answers
The time takes Ben to walk to the library is 80 minutes.
Given that, Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would walk to school 3 miles away.
What is proportion?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the time taken Ben to walk to the school be x, so the time taken to walk to the library be x+20.
Now, 4 : x+20 :: 3 : x
⇒4x=3(x+20)
⇒4x=3x+60
⇒x=60
So, x+20=80
Therefore, the time taken by Ben to walk to the library is 80 minutes.
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10. Given AXPS ADNF, find the values of x and y.
Answers
Answer:
x = 3
y = 15
Step-by-step explanation:
One number is seven more than six times another number. If the sum of the numbers is 28, find the numbers
Answers
The value of the numbers x and y is a 3 and 25.
According to the statement
We have to find that the value of the numbers.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
One number is seven more than six times another number. If the sum of the numbers is 28.
Then
Let The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 + 6x = 28
7x = 21
x = 3
Hence, the second number is a; 7 + 6x = 7 + 6(3);
y = 25.
So, The value of the numbers x and y is a 3 and 25.
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Need help on this text pt.3
Answers
The value of x is 10.
Option C is true.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
x/7 = 3x + 20/ 35
Now, We can solve as;
x/7 = 3x + 20/ 35
Multiply 35 in both side,
35 × x/7 = 35 × (3x + 20)/35
5x = 3x + 20
Subtract 3x both side,
5x - 3x = 3x + 20 - 3x
2x = 20
Divide 2 both side,
x = 10
Hence, The value of x is 10.
Option C is true.
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One month Pablo rented 5 movies and 3 video games for a total of $39. The next month he rented 2 movies and 12 video games for a total of 75 . Find the rental cost for each movie and each video game.
Answers
we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.
Let the cost of number of movies be x and the cost of number of video games be y.
So, the equations are:
5 x + 3 y = 39
2 x + 12 y = 75
2 x = 75 - 12 y
x = 75/2 - 6 y
Put it in the first one, we get that:
5 ( 75/2 - 6y) + 3y = 39
375/2 - 30 y + 3 y = 39
27 y = 187.5 - 39
27 y = 148.5
y = 148.5 / 27
y = $ 5.5
x = 75/2 - 6 y
x = 37.5 - 6 (5.5)
x = 37.5 - 33
x = $ 4.5
Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.
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Rectangle p q r s had vertices p(1, 4) q(6, 4) r(6, 1) and s(1, 1).without graphins find the new coordinates of the vertices of the rectangle after the reflection over the x axis and then another reflection over the y axis
Answers
The coordinates of the new vertices of the rectangle are P''(x, y) = (- 1, - 4), Q''(x, y) = (- 6, - 4), R''(x, y) = (- 6, - 1) and S''(x, y) = (- 1, - 1).
What are the coordinates of the vertices of the image of a rectangle?
In this question we find the coordinates of the four vertices of the rectangle, whose locations are described in the statement. Each point must be transformed by the following sequence of rigid transformations:
Reflection over the x-axis: P'(x, y) = P(x, y) + (0, - 2 · p)Reflection over the y-axis: P''(x, y) = P'(x, y) + (- 2 · p', 0)If we know that P(x, y) = (1, 4), Q(x, y) = (6, 4), R(x, y) = (6, 1) and S(x, y) = (1, 1), then the locations of the images of the four vertices are:
P'(x, y) = (1, 4) + (0, - 8)
P'(x, y) = (1, - 4)
P''(x, y) = (1, - 4) + (- 2, 0)
P''(x, y) = (- 1, - 4)
Q'(x, y) = (6, 4) + (0, - 8)
Q'(x, y) = (6, - 4)
Q''(x, y) = (6, - 4) + (- 12, 0)
Q''(x, y) = (- 6, - 4)
R'(x, y) = (6, 1) + (0, - 2)
R'(x, y) = (6, - 1)
R''(x, y) = (6, - 1) + (- 12, 0)
R''(x, y) = (- 6, - 1)
S'(x, y) = (1, 1) + (0, - 2)
S'(x, y) = (1, - 1)
S''(x, y) = (1, - 1) + (- 2, 0)
S''(x, y) = (- 1, - 1)
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Find the simple interest.
Principal $300
The interest Rate 15%
Time 18 months
Answers
keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5[/tex]
Q6. What percentage of 16 is 4?
O 30%
120%
25%
15%
Answers
Answer:
C. 25%
Step-by-step explanation:
if you add 4 4 times, you get 16, and .25 equals 1/4.
Hope this helps!
Answer:
25%
Step-by-step explanation:
4/16 = 0.25 = 25%
A wireless carrier offers the following plans that a person is considering.
The Family Plan: $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $30 for each device for up to 2 GB of data per device.
The Mobile Share Plan: $110 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $15 for each device up to a shared total of 10 GB of data.
Find the model of the total cost of the Family Plan in dollars. Use P for the number of devices that need data plans as part of their cost.
Answers
The model of the total cost of the Family Plan will be 90 + 30P.
How to illustrate the information?It should be noted that Family Plan has $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $30 for each device for up to 2 GB of data per device.
Therefore, the model will be:
= 90 + 30P
where p = number of devices
In conclusion, the model of the total cost of the Family Plan will be 90 + 30P.
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Which of the following is an irrational number? A ㅠ B 0.16 C 2.53 D -1/5
Answers
Answer:
[tex]\pi[/tex]
Step-by-step explanation:
If a number can be written as an integer/integer in a fraction form or in a decimal form as a terminating or repeating decimal, it is rational. An integer is a set up numbers that fall into this pattern:
...-3,-2,-1,0,1,2,3...
0.16 is a terminating decimal or 16/100 as a fraction.
2.53 is a terminating decimal or 253/100
-1/5 can be written as a decimal at -0.2 and it terminating.
Erosion typically wears the Hawaiian volcano Mono Loa down about 20 cm in 5 years. Lava flows build the volcano up about 10 cm every time there is an eruption. Mono Loa erupts about once every 2 years. Is the volcano growing or wearing down?
Answers
The volcano is growing larger by 1 cm/year.
Is the volcano growing or wearing down?In order to determine if the volcano is growing or wearing down, determine the cm that the volcano wears down each year. To do this, we would be dividing the total cm the volcano wears down by the number of years.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
The cm the volcano wears down each year = 20 cm / 5 = 4cm
10 / 2 = 5cm
5cm - 4cm = 1 cm
This means that the volcano is growing at 1 cm per year.
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Each side of a square floor tile is 182 mm long. Find the area of the square defined by one of these floor tiles.
Answers
Answer:
33124
Step-by-step explanation:
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29 POINTS IF YOU CAN HELP ME!!!!!!!!!!!!!!!!!!!! A Striped bass is swimming at an elevation of −3 feet, while a flounder is swimming at an elevation of −11 feet. Write and interpret a statement of the order showing the elevation of the striped bass compared to the elevation of the flounder. (1 point)
Responses
A, −3 < −11; the flounder is at a higher elevation than the bass.
B, −3 > −11; the bass is at a higher elevation than the flounder.
.
C, −3 > −11; the flounder is at a higher elevation than the bass.
D, −3 < −11; the bass is at a higher elevation than the flounder.
Answers
The correct option is,
⇒ −3 > −11; the bass is at a higher elevation than the flounder.
Option B is true.
What is Elevation?
Elevation is distance above the sea.
Given that;
A stripes bass is swimming at an elevation of −3 feet.
And, A flounder is swimming at an elevation of −11 feet.
Clearly, The bass is at higher elevation than the flounder.
So, -3 > -11
Hence, The correct option is,
⇒ −3 > −11; the bass is at a higher elevation than the flounder.
Option B is true.
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-2x 8y = 14
2x+8y= -14
Solve by elimination
Answers
Answer: x=-7, y=0
Step-by-step explanation:
You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.
-2x+8y = 14
2x+8y= -14 --------> 16y=0
When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.
-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14
When you divide both sides by -2, you get x=-7.
If Line t || Line v and m∠5 =5x + 45 and m∠7 = 12x - 11, find m∠5
Answers
The Line t || Line v the value of angle m∠5 is 69.28° .
What is line?
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
Line t || Line v
m∠5 =5x + 45
m∠7 = 12x - 11,
According to given question we have
Line t || Line v
Using the property of interior angles on same sides we get
m∠5 =m∠7
5x + 45=12x - 11
compare like terms we get
45-11=12x-5x
34=7x
x=34/7°
By put the value of x
m∠5 =5x + 45
m∠5 =5*34/7+45
m∠5 =485/7=69.28°
m∠7 =12x - 11=12*34/7-11
m∠7 =331/7°
m∠7 =47.28°
Therefore, the Line t || Line v the value of angle m∠5 is 69.28° .
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Plot the following points in a coordinate plane. (-5, 2), (-4, 0), (-3, -2), (-2, -4) Connect the points with a line. Name another point on the line. Is that point (1, -2) on the line? How do you know? If (1, -2) is part of the relation, is it a function? Why or why not?
Answers
Answer:
Step-by-step explanation: Can u please help me with my questionnn
Suppose f(x) = - 2x² + 8x - 8. Compute the following:
A.) f(-1) + f(1) =
B.) f(1)-f(1) =
Answers
f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.
What is a function ?A function can be thought of as an output for the given inputs.
According to the given question f(x) = -2x² + 8x - 8 we have to compute
A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.
f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }
f(-1) + f(1) = - 18 - 2.
f(-1) + f(1) = - 20.
B. f(1)-f(1) = 0 ( we don't need to calculate )
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Which number below best represents a gain of $7.92?
A.
-7.92
B.
17.92
C.
-17.92
D.
7.92
Answers
Answer:
The Answer is D
Step-by-step explanation:
you just have to look for the letter that's giving you it not subtracting it. And look for the right amount.
You buy 3.18 pounds of grapes, 1.45 pounds of peaches, and 2.76 pounds of oranges. Each pound of grapes cost 1.29, each pound of peaches cost 1.19, and each pound of oranges cost 0.99. What is my total bill?
Answers
Grapes: 3.18lbs x $1.29/lb = $4.10
so on and so forth
Michael used a stopwatch to time the baseball pitches for three of his friends.Order from least to greatest.
Pete:0.537
Ivan:0.58
Kat:0.4996
Answers
Answer:
this is called as ascending order, it is when numbers are arranged from least to greatest
here is the answer:
ivan:0.58
pete:0.537
kat:0.4996
Step-by-step explanation:
so you have to look at the nmbers and how many digits they have for example,
ivan's number has 3 digits so its the least
kat has 5 digits so its the greatest
a cat ’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat ’ s heart beat per second ?
Answers
Answer:
3 heartbeats
Step-by-step explanation:
The cat's heartbeats are 45 per 15 seconds.
To find out how many heartbeats it does per second (instead of 15), we should divide this amount by 15.
[tex]\frac{45}{15} \to 3[/tex]
Answer:
Step-by-step explanation:
45beats/15sec = 3beats/sec
Two numbers have these properties.
Both numbers are greater than 6.
•
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ..
Answers
With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.
What are mathematical operations?An operation in mathematics is a function that takes zero or more input values and produces a well-defined output value. The operation's arity is determined by the number of operands. Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.Two numbers with HCF 6 can be:
6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.
=> 6 × 60 = 6a × 6b=> 10 = abab = 1010 = 1 × 10 = 2 × 5a , b > 1As a result, a and b can be 2 or 5.
The numbers are 6 × 2 and 6 × 5.
Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.
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The Office Supplies account started the year with a $3,225 balance. During the year, the company purchased supplies for $13,319, which was added to the Office Supplies account. The inventory of supplies available at December 31 totaled $2,838.
Answers
Based on the beginning office supplies balance, the supplies purchased by the company, and the supplies available at December 31, the journal entry for supplies is:
Date Account title Debit Credit
XX-XX Office supplies expense $14,131
Office supplies $14,131
What is the supplies expense?The supplies expense can be found as:
= 3,225 + 13,319 - 2,838
= $13,706
This supplies expense will be debited to the office supplies expense and credited to the office supplies account.
Question:
Record the entry to the Office supplies account
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Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?
Answers
The number of cups of chocolate chips she should use is 3 cups.
How to find the cups of chocolate chips that should be used?Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies.
She decided to double the number of cookies.
Therefore,
Remember she wants to double the size of cookies,
25 cookies = 1½ cups of chocolate chips
2(25 cookies) = ?
cross multiply
number of cups of chocolate chips required = 50 × 1.5 / 25
number of cups of chocolate chips required = 75 / 25
number of cups of chocolate chips required = 3 cups
Therefore, the number of cups of chocolate chips she should use is 3 cups.
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1.) You need 13 flower arrangements for table decorations. Each arrangement sells for $12.25. How much will you spend on flowers?
Answers
Answer:
159.25
Step-by-step explanation:
you just have to multiply 13 by 12.25