Given that 2 = 6.
Which theorem proves that line d is parallel to line e.
Converse of the alternate exterior angle
theorem
Converse of the alternate interior angle
theorem
Alternate Exterior angle theorem
Alternate interior angle theorem
Answers
The theorem that proves that lines d and e are parallel is the: A. converse of the alternate exterior angles theorem.
What is the Converse of the Alternate Exterior Angles Theorem?The alternate exterior angles that are formed on each lines that are cross by the transversal are said to be congruent or equal to each other if both lines they lie on are parallel, based on the alternate exterior angles theorem.
Also, we can prove that if the alternate exterior angles are congruent, then the lines they lie on are parallel lines, using the converse of the alternate exterior angles theorem.
Thus, we are given that angle 2 = angle 6. Angles 2 and 6 lie on lines d and e. Since they are equal to each other, they are congruent angles. Therefore, lines d and e are parallel lines based on the converse of the alternate exterior angles theorem.
Learn more about the converse of the alternate exterior angles theorem on:
https://brainly.com/question/10565830
#SPJ1
Related Questions
y = 3x + 2 is reflected in the line y=-1. What is the equation of the image?
Answers
The equation of the image is y = 3x - 4
In this question, we have been given a line y = 3x + 2 is reflected in the line y = -1.
We need to find the equation of the image.
The reflected line must be parallel to the line y = 3x + 2
So, the slope of the image must be equal to the slope of the line y = 3x + 2
The y-intercept of the line y = 3x + 2 is (0, 2)
The distance between point (0, 2) and the line y = -1 is 3 units.
So, the y-intercept of the reflected line must be (0, -4)
With slope m = 3 and y-intercept (0, -4) the equation of the line would be,
y = 3x - 4
Therefore, the equation of the image is y = 3x - 4
Learn more about equation of line here:
https://brainly.com/question/24524587
#SPJ1
Please put all the numbers above your phone on the number line
Answers
1.
(a) 2π - 9
= 2 x 3.142 - 9 = 6.284 - 9
= -2.716
This will be closest to the letter C on the number line.
(b) [tex]\sqrt{3}[/tex]
= 1.732
This will be closest to the letter T on the number line.
(c) [tex]\sqrt[3]{9}[/tex] - 8
= 3-8
= -5
This will be closest to the letter S on the number line.
What are Real numbers?In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line. Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolize complex numbers. Real numbers include things like 23, -12, 6.99, 5/2, and so on.Most physical constants, like the universal gravitational constant, and physical variables, including position, mass, speed, and electric charge, are represented using real numbers in the physical sciences.Although the Zermelo-Fraenkel axiomatization of set theory is the method most frequently used to formalize the real numbers, other mathematicians also explore the real numbers using other logical mathematical foundations. Electronic calculators and computers, with a few notable exceptions, do not work with real numbers. Instead, they frequently use floating-point numbers, which are finite-precision approximations that resemble scientific notation.To learn more about Real numbers, refer to:
https://brainly.com/question/551408
#SPJ13
the mean is 115 the other numbers that make the mean are 110 and 90 i cant figure out what the third number is
Answers
Answer: 145
Step-by-step explanation:
To find the total of the three numbers: 115 x 3 = 345
So the 3rd number must be 345 - 110 -90 = 145
Check the answer= 110 + 90 +145
3
= 115
23. A shipment of goods weighs 5 tons.
Which of the following expressions could
be used to express the weight in metric
tons?
Answers
Answer:
write a semi formal letter to your father's friend
Help please whoever awnsers correctly I will put as brainliest!!
Answers
Based on the fact that the triangles are similar, the length of x is 7.2 cm and the length of y is 7.4 cm
How to find the lengths?If the triangles are similar then it means that the difference between their dimensions can be found by a scale factor.
The scale factor is:
= Dimension of larger similar side / Dimension of smaller similar side
= 11.6 / 5.8
= 2
With a scale factor of 2, then x is:
= 3.6 x 2
= 7.2 cm
The value of y would be:
= 14.8 / 2
= 7.4 cm
Find out more on similar triangles at https://brainly.com/question/11899908
#SPJ1
I need help with this question
Answers
Answer:
a) 69 b) -11
Step-by-step explanation:
-8 + 77 or 77 - 8 = 69
-21 + 10 = 11
Adriana mows lawns. She charges an initial fee and a constant fee for each hour of work.
Answers
Answer: It's $12 an hour.
Step-by-step explanation:
Determine the x-coordinate that would yield a y-coordinate of 30, assuming the pair follows the same trend that currently exists in the data set below. {(45, 18), (38, 21), (26, 31), (64, 13), (29, 28), (33, 25), (49, 17)}
Answers
Based on the trend found in the data set, the x-coordinate that would yield a y-coordinate of 30 is 28
What is the trend in the data set?Pick two points from the data set:
(26, 31) and (64, 13)
The slope is:
= Change in y / Change in x
= ( 13 - 31) / (64 - 26)
= -18 / 38
= -9/19
The y-intercept is:
y = mx + b
13 = -9/19(64) + b
b = 43.3
The x-coordinate that gives a y-coordinate of 30 is:
30 = -9/19x + 43.3
x = 28
Find out more on trend in data set at https://brainly.com/question/24679525
#SPJ1
Suppose that $25,200 is invested in a certificate of deposit for 2 years at 11.1 % annual interest to be compounded semi-
annually. How much interest will this investment earn?
Answers
Suppose that $25,200 is invested in a certificate of deposit for 2 years at 11.1 % annual interest to be compounded semi-annually, compound interest will this investment earn is $5,904.8892.
What is compound interest?Compound interest, also known as interest on the principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. It occurs when interest is reinvested, or added to loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on principal amount plus any accumulated interest. In the finance and economics, compound interest is common.
In contrast to the simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time. The interest per period multiplied by number of periods in a year yields the simple annual interest rate. The nominal interest rate is the another term for the basic annual interest rate (not to be confused with the interest rate not adjusted for inflation, which goes by the same name).
It is known that the compound interest is given as
Compound Interest = [total amount of the principal and interest in future]-[total amount of the principal in present]
=[tex]P(1+i)^{2} - P\\P(1+i)^{2} - 1\\[/tex]
where, p= principal, i= nominal annual interest, n= the number of the compounding period
Given
P = $25,200
i= 11.1% = 0.111
n= 2
compound interest is
C = 25,200 [[tex](1+0.111)^{2}[/tex]-1]
= $5,904.8892
The investment will earn the interest of $5,904.8892.
To know more about compound interest visit: https://brainly.com/question/15353704
#SPJ9
A case of 24 pairs of the same kind of switches cost a little more than $800 explain whether $28 per pair with tax included is a good estimate of the price
Answers
If a case of 24 pairs of the same kind of switches cost a little more than $800. $28 per pair with tax included is not good estimate of the price but $33.33 is the good estimate for the price .
Estimated priceAssuming that the cost per pair is the amount of $28. Hence, cost of 24 pairs is calculated as:
Cost= $28x24
Cost = $672.
Based on the above calculation for the cost of 25 pairs we can see that that the 24 pairs of the same kind of switches does not cost more than $800 which implies that $28 is not good estimate for the price.
Now let determine the best estimate of the price with tax included :
Cost = $800/24
Cost = $33.33
Therefore the good estimate for the price with the tax included is $33.33.
Learn more about estimated price here: https://brainly.com/question/11292014
#SPJ1
Please look at photo for further clarification, the length of a conduit is needed for sections and be shown in the picture. you may round the final answer to the nearest hundred if needed as well as all the intermediate values rounded to the nearest hundred if needed.
Answers
Using trigonometric functions :
From the problem, we have a hypotenuse of 22.25 cm and an angle of 31°28'
To find A, we will use the sine function :
[tex]\begin{gathered} \sin 31^{\circ}28^{\prime}=\frac{A}{22.25} \\ A=22.25\sin 31^{\circ}28^{\prime} \\ A=11.615 \end{gathered}[/tex]To find B, we will use the cosine function :
[tex]\begin{gathered} \cos 31^{\circ}28^{\prime}=\frac{B}{22.25} \\ B=22.25\cos 31^{\circ}28^{\prime} \\ B=18.978 \end{gathered}[/tex]The total length is the sum of A and B :
A + B = 11.615 + 18.978 = 30.59
The answer is 30.59 cm
I just need the answer to this question
Answers
THE VOLUME OF A RECTANGULAR PRISM ID GIVEN BY
[tex]v = l \times b \times h \\ = ( \frac{7}{2} in) \times ( \frac{5}{2} in) \times ( \frac{3}{2} in) \\ \\ v = \frac{35}{2} {in}^{2} \times \frac{3}{2} in \\ v = \frac{105}{2} {in}^{3} \\ v = 52\times \frac{3}{2} {in}^{3} [/tex]
THE FIRST OPTION IS THE ANSWER!!
in a survey of group people showed that 60 liked tea, 45 liked coffee, 30 liked milk,25 liked coffee as well as tea,20 liked tea as well as milk,15 liked coffee as well as milk and 10 liked all the three. How many people were asked this question?
Answers
Answer:
85 people were surveyed
Step-by-step explanation:
Let n(X0 represent the number of people who belong in set X
We have 3 sets here
T = set of all people who like tea
C = set of all people who like coffee
M = set of all people who like milk
From the info given
n(T) = 60
n(C) = 45
n(M) = 30
The intersection of the sets are
n(C ∩ T) = 25
n(T ∩ M) = 20
n(C ∩ M) = 15
n(C ∩ T ∩ M) = 10
The number of people who were asked this question is given by
n(T U C U M)
= n(T) + n(C) + n(M) - n(C ∩ T) - n(T ∩ M) - n(C ∩ M) + n(C ∩ T ∩ M)
= 60 + 45 + 30 - 25 - 20 - 15 + 10
= 85
Venn Diagram is attached
5
Making a equation with the slope: 2/3 and the y intersept:2
Answers
Answer:
Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.
Equation of line is y = 2/3x + 2
on jan 22 0217 the cost to mail a letter in the us was raised from 47 to 49 centrs. find the relative change in the cost
Answers
The relative change is 2%.
What is relative change?In contrast to the reference value, the absolute change's size is expressed as a fraction called the relative change: relative change = absolute change reference value = new value reference value reference value. The absolute change is expressed as a percentage of the value of the indicator in the prior period, or "relative change" expresses the absolute change as such. When measuring indicators in percentage terms, such as the unemployment rate, absolute and relative change principles also apply. To determine the absolute change, subtract the starting value from the ending value. Simply deduct 1,000 from 1,100 to arrive at 100 in the example. The student population increased by 100 pupils throughout the course of the year because this is the absolute change.
To know more about relative change ,visit:
brainly.com/question/20610028
#SPJ4
On Monday, the high temperature in Frostbite, Alaska, was -5 F. On Tuesday, it rose 14 F. On Wednesday, it dropped 20 F. What was the temperature on Wednesday?
Answers
Answer:
-11 F
Step-by-step explanation:
So we need to just add or decrease the temperature.
-5 + 14
9 - 20
-11
Answer:
-5 + 14 = 9
9 - 20 = -11
the answer is -11°f
The perimeter of a rectangular parking lot is 370 m.
If the width of the parking lot is 86 m, what is its length?
Answers
Explanation: 370 divided by 86 is 4.30232 then just round
Answer:
the length is 99m
Step-by-step explanation:
you have to add 86 to 86 to get 172, subtract 172 from 370 then you have 198 then divide to have 99m the length.
a number of sweets were shared among eight children and each child receives 30. if 12 children share the same number of sweets how many will each receive
Answers
To find out the total number of sweets you multiply the amount of sweets each child gets by the amount of children
8x30=240 - there is a total of 240 sweets
if there were 12 children and the 240 sweets had to be evenly distributed between them you would divide the total amount of sweets by the amount of children
You would do 240/12 =20
Each child would receive 20 sweets
Hope this helps :)
help pass due asap!!!
Add (7x³ - 2x² - 5x+6) and (2x³ + 3x² − x − 1)
a) 9x³ + x² - 6x +5
b) 9x6 + x4 + 5x² − 6
c) 9x³x² - 6x + 5
d) 14x³ - 6x² – 5x - 6
Answers
How many 14-pound hamburgers can you make from 312 pounds of ground beef?
You can make ? hamburgers.
Answers
Answer:
You can make 22 burgers.
Step-by-step explanation:
If you have 312 pounds of ground beef and burgers are 14 pounds, divide 312 by 14 ( 312 / 14). This gives you an answer of 22.28 You will have leftovers because 14 does not go into 312 perfectly. You can also check the answer by doing multiplication ( 22 * 14) which gives you 308. You cannot have another burger because 308 + 14 = 322 which is over the amount of beef you have.
I need help fast please. I also need explanation on an easy way to do it.
Answers
The correct equation that is balanced using the given numbers once is;
5(-1 + (-3)) = (7 * -4) + 8
How to carry out Algebra Properties?There are different properties of Algebra such as;
Commutative Property of Addition or multiplication
Associative Property of Addition or multiplication
Distributive Property
Now, from the given numbers, it will be best to use only a positive digit outside the bracket on the left hand side to make it easy to balance on the right hand side. Thus, for the left hand side we will try;
5(-1 + (-3))
When that is solved we will get -20
Now, to balance that on the right hand side , we will have;
(7 * -4) + 8
Read more about Algebra Properties at; https://brainly.com/question/11131460
#SPJ1
Name a plane parallel to plane ABCD.
A. plane ADHE
B. plane DCGH
C. plane ABFE
D. plane EFGH
Answers
Answer:
Plane EFGH
Step-by-step explanation:
we can see that plane ABCD is on the bottom
and that plane EFGH is on the top
so if the go left and right, they will never touch that is what parallel is
any other plane will intersect or touch eventually
help me with the pirates
Answers
For Roberts the equation is:
[tex]5y-x=-25[/tex]to we can write it as slope intercept so:
[tex]\begin{gathered} 5y=x-25 \\ y=\frac{1}{5}x-5 \end{gathered}[/tex]Now we replace x = 5 so
[tex]\begin{gathered} y=\frac{5}{5}-5 \\ y=1-5 \\ y=-4 \end{gathered}[/tex]So the two points are ( 0 , -5) and ( 5 , -4)
Fo Hookthe equation is:
[tex]2x-5y=0[/tex]In slope intercept is:
[tex]\begin{gathered} 5y=2x \\ y=\frac{2}{5}x \end{gathered}[/tex]so we replace x = 5 so:
[tex]y=2[/tex]So the two points are: ( 0 , 0) and ( 5 , 2 )
For Elizabeth the equation is:
[tex]y-6=\frac{1}{2}(x-2)[/tex]and slope intercept:
[tex]\begin{gathered} y=\frac{1}{2}x-1+6 \\ y=\frac{1}{2}x+5 \end{gathered}[/tex]now we replace x = 2 so:
[tex]\begin{gathered} y=1+5 \\ y=6 \end{gathered}[/tex]So the coordinates are ( 0 , 5) and ( 2, 6 )
And for Silver the equation is:
[tex]4x-y+6=9[/tex]In slope intercept is:
[tex]\begin{gathered} y=4x+6-9 \\ y=4x-3 \end{gathered}[/tex]now we replace x = 1 so:
[tex]\begin{gathered} y=4-3 \\ y=1 \end{gathered}[/tex]So the coordinates are: ( 0, -3) and ( 1, 1 )
So now you can made the graph of the lines and find the message.
Solve the following inequality. 3x - 4 > 11
A. (∞ ,5)
B. (15, ∞)
C. (5, ∞)
D. [5, ∞)
Answers
15 it’s not that hard
explanation:
first u need to solve for x:
3x - 4 > 11
3x > 15
x > 5
so if x is greater than 5, then the domain is above 5 to infinity, written as (5, ♾) instead of [5, ♾) because the bracket means greater than or equal to, but > is just greater than
Which letter is inside the square and pentagon? *
O A
O B
O C
Answers
A and C because it asks which word is in the square and pentagon, it is the a and the c
Please help me with this question!
Answers
The two swimming pools will have same amount of water using this equation, where x represents the time in minutes
3300 - 24x = 3696 - 35x
How to find the equation when the two pools will have same amount of waterinformation given in the question is as follows
the first pool had 3300 liters of water and drains at a rate of 24 liters per minute
the second pool had 3696 liters of water and drains at a rate of 35 liters per minute.
The given information implies that
every minute in x minutes 24x liters of water is drained from the first tank.
3300 - 24x
Similarly, in the second tank in x minutes 35x liters of water in drained from the second tank
3696 - 35x
The tanks will have equal volume of water when the two equations are equal
3300 - 24x = 3696 - 35x
Learn more about rate of draining water at:
https://brainly.com/question/28740063
#SPJ1
PLEASE HELP Conditional Statement: If the object has a remote, then it is a television.
Part A: Write the converse to the conditional statement.
Part B: Write a biconditional statement from the conditional statement.
Part C: Validate the biconditional statement from Part B. Use details to support your answer.
Answers
Answer:
Step-by-step explanation:
find the value of x please
Answers
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{x}{7}~~ = ~~\cfrac{10}{x}\implies x^2=70\implies x=\sqrt{70}[/tex]
In 6 Minutes, Rita can type 24 words. What is her rate in words per minute?
Answers
Answer:
4 words per minute
Step-by-step explanation:
In 6 minutes Rite typed 24 words, 24 divided by 6 is 4
Latisha has $40 in her checking account. She makes a withdrawal of $20 and then writes a check for $40. Then she deposits $30.
Answers
If Latisha has $40 in her checking account and she makes a withdrawal of $20 and then writes a check for $40, then she deposits $30, then the amount she has in her checking account is $10
The amount she has in her checking account = $40
The amount she withdraw from her account = $20
The amount she writes a check = $40
The deposited amount = $30
To find the final checking account balance we have to use the arithmetic operations
The final balance amount = The amount she has in her checking account -The amount she withdraw from her account - The amount she writes a check + The deposited amount
= 40-20-40+30
= $10
Hence, by using arithmetic operations, if Latisha has $40 in her checking account and she makes a withdrawal of $20 and then writes a check for $40, then she deposits $30, then the amount she has in her checking account is $10
Learn more about arithmetic operation here
brainly.com/question/10971149
#SPJ1