Does anyone have the answer key to these proofs? They are Mrs. E Teaches Math introductory proofs. There are 14 total. I've done 1-9.
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Statement 1: 2AB = AC
Reason 1: Given
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Statement 2: AC = AB+BC
Reason 2: Segment addition postulate (which your teacher abbreviated to "Seg + Post")
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Statement 3: 2AB = AB+BC
Reason 3: Substitution
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Statement 4: 2AB-AB = AB+BC-AB
Reason 4: Subtraction Property of Equality
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Statement 5: AB = BC
Reason 5: Combine like terms
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Notes:
The first reason is "given" since we just simply restate what the instructions provide. If you are given multiple items, you list each one at a time. The segment addition postulate is where we break a line into smaller parts and then build it back together.Substitution is simply replacement. We've replaced AC with 2AB.The subtraction property of equality is the idea where we subtract the same thing from both sides. In statement 4, we're subtracting AB from both sides.The last statement of any proof is always the thing we're trying to prove. Once we reach such a statement, there's no need to go any further since the proof has concluded.Related Questions
Saturday morning, 55% of the customers at The Gap spent over $50. If there were 300 customers at The Gap that morning, how many of them spent more than $500 ?
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Answer:
165 customers spent more than $500.
Step-by-step explanation:
If you ment to put $500 for both, then you have to multiply 300 by 55%. This will give you 55% of 300 which is the amount of people that spent more than $500. You multiply them to get your answer.
What is the equation of the line that passes through the points (-2, 1) and (1, 10
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Item 19
Write the word sentence as an equation. Then solve.
The sum of a number y and −3 is −8.
Equation:
Solution: y=
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solution: y = -5
Answer:
The answer is
Equation: y+-3=-8
Solution: y= -5
Step-by-step explanation:
Hope this helps!
can anyone help ?\me with this algebra answer
Answers
Answer:
B) 2x-y=5
Step-by-step explanation:
Info we have:
The x-intercept is 2.5
The slope is 2/1=2
Therefore, our equation so far is y=2x+b
We plug in our x-intercept in and make y=0 to get b:
0=2(2.5)+b
0=5+b
-5=b
Therefore, the equation of the line is y=2x-5
Given our found equation, we can see which option works.
A is wrong because 2x+y=-5 -> y=-5-2x -> y=-2x-5
B is right because 2x-y=5 -> -y=5-2x -> y=-5+2x -> y=2x-5
C is wrong because x+2y=-5 -> 2y=-5-x -> y=-2.5-1/2x -> y=-1/2x-2.5
D is wrong because 2y-x=10 -> 2y=10+x -> y=5+1/2x -> y=1/2x+5
what is the value of this expression below when x=3 and y =8
6x+10y ? PLEASE DONT WASTE MY TIME
Answers
Answer:
98
Step-by-step explanation:
6(3)+10(8)
=18+80
=98
PLS GIVE BRAINLIEST
In AQPL, m
twelve more than twice m
each angle.
m
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Answer:
Yes but I do not get what we are going to do here
Step-by-step explanation:
please help me!!! :)
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I would assume that the angle of f equals 50°... sincesince the triangles are similar that means that the angles are most likely equal to each other. since the big triangle you can do it 90 + 40 which equals 130 then 180, since that is the total degrees in a triangle, minus 130 equals 50 this means 50 ° is the angle of c. keep in mind angle c equals angle f.
Lan is instructed to draw a rectangle with an area of 450 square centimeters.
Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the
rectangle.
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Answer:
xy = 450
Step-by-step explanation:
The relationship will be xy=450.
What is the Area?The area defines the extent of the region in which we are working.
How to solve it?As we know,
The area of a rectangle is given by xy=A
Where x, and y are the sides and A is the area.
So, the relation will be xy=450.
Learn more about the Area:
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Bill has a large collection of paperback books. He decided to donate 1/3 of them to his local library. If he had 126 to start with, how many does he have left?
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Answer:
42
Step-by-step explanation:
Pls i need help with my math
Find the value of each symbol in the multiplication table below:
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Answer:
Step-by-step explanation:
Chili = 3
lime = 1
salt = 9
avocado = 6
guacamole = 18
If the circumference of a circular ground is 616m, find its radius
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Answer:
98 m
Step-by-step explanation:
2πr = circumference = 616
2*22/7*r = 616
44/7*=616
r = 616*7/44
r = 14*7
r = 98 m
Answer:
98
Step-by-step explanation:
:)
which data set has a mean of 12 and a mean absolute deviation of 1
Answers
Step-by-step explanation:
17 i think I hope its right
What is the solution to the system of equations?
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3. x equals negative 2.x + 3
Answers
Answer:
y=2/3
y=4
x=1
Step-by-step explanation:
y=2/3
y=x+3
x= -2x+3
x+2x=3
3x=3
x=3/3
x=1
The solution to the system of equations is y=2/3 and x=1.
We have given that,
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3.
x equals negative 2.
What is the system of equations?
A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
y=2/3
y=x+3
x= -2x+3
x+2x=3
3x=3
x=3/3
x=1
The solution to the system of equations is y=2/3 and x=1.
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B. Solve the problem:
Mrs. Reyna is planning to fence her vacant lot for a parking space. The desired length of the lot is 6 m longer than its width. What will be the possible dimensions of the rectangular parking space if it should be less than 40m2?
(Hint: length x width = Area of rectangle)
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Answer:
Step-by-step explanation:
Given
Area of the rectangle =Length × width
Given
The desired length of the lot is 6 m longer than its width, then L = 6+W
A = LW
40 = (6+W)W
40= 6W+W²
W²+6W -40 = 0
W²+10W-4W-40 = 0
W(w+10)-4(w+10) = 0
W+10 = 0 and w-4 = 4
W = -10 and w = 4
Width can't be negative
W = 4m
Since L = 6+w
L = 6+4
L = 10m
Hence the possible dimension s 4m by 10m
Solve the system by Elimination.
7x+9y=30
3x−6y=3
(3, 1)
(3, 5)
(3, -1)
(-3, 5)
please hurry need it now
Answers
7(3)+9(1)=30
21+9=30
3(3)-6(1)=3
9-6=3
Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190
Answers
Answer:
It is D (-23, -7, 5, 9, 190)
Step-by-step explanation:
:)
HELP ME PLEASEEEEEEE
The graph of line g is shown below.
Which equation describes a line parallel to line g that has a y-intercept at (0, −1)?
Answers
Answer:
is the graph of y=-2x-1
The equation of line which is parallel to given line is , [tex]y=-\frac{1}{2}x-1[/tex]
Option H is correct.
Equation of line :Given line is passes through points [tex](-4,6)[/tex] and [tex](4,2)[/tex]
Slope of given line is,
[tex]Slope=\frac{2-6}{4+4}=-\frac{1}{2}[/tex]
Since, all parallel lines have the same slope.
So that, slope of line parallel to given line is also equal to [tex]-\frac{1}{2}[/tex]
Equation of required is,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, line passes through point [tex](0,-1)[/tex]
So that, [tex]c=-1[/tex]
Equation of required line become, [tex]y=-\frac{1}{2}x-1[/tex]
Learn more about the equation of line here:
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Please tell me the right answer.
Answers
Answer:
b
Step-by-step explanation:
Given: a and b are parallel and c is a transversal. Prove: ∠2 ≅ ∠7 Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4. Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the
Answers
Answer: vertical,corresponding,transitive property
Step-by-step explanation:
Answer:
vertical
corresponding
transitive property
Step-by-step explanation:
just took the test
Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump
Answers
Answer:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
Step-by-step explanation:
Let the time for which Grace jumps the rope = [tex]x[/tex] minutes
Let the time for which Zoe jumps the rope = [tex]y[/tex] minutes
As per question statement:
[tex]x+y=21 ..... (1)[/tex]
Number of times Grace jumps in one minute = 66
Number of times Zoe jumps in one minute = 56
Number of times Grace jumps in [tex]x[/tex] minutes = 66
Number of times Zoe jumps in [tex]y[/tex] minutes = 56
As per question statement:
[tex]66x+56y=1266 ...... (2)[/tex]
Multiplying equation (1) with 66 and subtracting equation (2) from it:
[tex]10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}[/tex]
By equation (1):
[tex]x=21-12=\bold{9\ min}[/tex]
Therefore, the answer is:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
A number x is greater than 3.
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Answer:
4,5,6,7,8,9..........................
Which of the following numbers is divisible by both 5 and 10
Answers
Answer:
5
Step-by-step explanation:
Answer:
1 or 5
Step-by-step explanation:
cuz 1 divided by 5 =5 and 10 divided by with 1 =10
but 5 divided by 1 = 5 and 10 divided by 5 = 2
Which measure of Center would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20
Answers
Answer:
The mean.
Step-by-step explanation:
The mean because 50 is a lot bigger number than the numbers in the list.
The median (the middle number in an ordered list) would still be 15. Also the mode (15) will also stay the same.
The original mean = sum of the 6 numbers divided by 6
= 92/5 = 15.3.
When 50 is added the mean is (92 + 50) / 7 = 20.3.
Answer:
The mean
Step-by-step explanation:
Because mean is the main measure of center that we solve first before solving the others
What is the slope of (-3,-2) and (-1,-5)
Answers
Answer:
-3/2
Step-by-step explanation:
If the price of a shirt is $25, then express the price of n shirts.
A.$25/n
B.$25n
C.$25+n
D.$25-n
E.n/$25
Answers
Answer:
B. ($25n)
Step-by-step explanation:
Due to it being n shirts, the price is $25 plus itself n times.
Hence, the price is $25n.
Hope this helped!
Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.
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Answer:
Step-by-step explanation:
25.30*8% tax = 2.02 tax
total 25.30+2.02= $27.32
Answer:
$27.32
Step-by-step explanation:
Multiply $25.30 by 0.08 (8% is equal to 0.08)
2.024
Add 2.024 to $25.30
That would be 27.324
Round to the nearest hundredth
$27.32
Hope this helps :)
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What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4
Answers
Answer:
Divide both sides by 4
Step-by-step explanation:
Please give brainliest
Answer:
divide both sides by 2
Step-by-step explanation:
becoz first step is move the numbers
pliz give a brainliest
Larry fills his bathtub at a constant rate. the amount of water in his tub is proportional to the amount of times he spends filling it. This relationship is described in the following graph
Answers
Answer:
A and B
Step-by-step explanation:
According to Khan Academy, it is A and B. Do NOT click "None of the Above." That is incorrect.
Item 20
Write the word sentence as an equation. Then solve.
The difference between a number p and 6 is −14.
Equation:
Solution: p=
Answers
Answer:
p-6=-14
Step-by-step explanation:
since it is said that it is the difference between them
solution : p = -8
Find the slope of the line passing though points (-7, 8) and (5, -7).
Answers
Answer:
13/13= Slope = 1
Step-by-step explanation:
M=rise/run, So that means 13 down then 13 to the left.
So 13/13 is the slope, but if it is simplified it is slope=1