In the following figure, the teacher asks a student named Jerrica to find the length of segment AM. Jerrica sets the two sides equal to each other, does some algebra, and proclaims that the length of segment AM is 8 units long
State whether Jerrica is correct in her conclusion. If she is incorrect, explain the source of her error and give the correct length. In at least four sentences, support your response with a brief explanation. Be sure to include the terms midpoint, segment, and bisector in your explanation.
Answers
Answer/Step-by-step explanation:
Let us try to find the lenght of AM step-by-step to see if Jessica is correct or incorrect in her conclusion and possibly find out where she made an error if she's incorrect.
Now briefly, keys state some facts that explains or guides us while solving a problem like this:
1. Point M is the midpoint of segment AB.
2. The midpoint M, is a bisector of segment AB.
3. Segment AB is divided into two congruent or equal parts, AM and MB.
4. Therefore, by implication, segment AM (4x - 18) = segment MB (2x - 2).
5. To find the lenght of AM, we need to generate an equation to enable us solve for the value of x.
6. Equation to use to solve using algebra can be gotten by setting segment AM equal to segment MB. Which gives us:
4x - 18 = 2x - 2
Solve for x. Combine like terms.
4x - 2x = 18 - 2
2x = 16
Divide both sides by 2
x = 8
To find the lenght of AM = 4x - 18, replace x with 8 in the expression for the lenght of segment AM. (Note: this is what Jessica failed to do. She assumed 8 to be the length of segment AM.)
AM = 4(8) - 18 (Substitution)
AM = 32 - 18
Length of segment AM = 14 units
Jessica's error was her assuming that x = 8, is the length of segment AM. Her conclusion is wrong.
She ought to have plug in the value of x into the expression given for the lenght of segment AM.
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Step-by-step explanation:
x is the larger. The smaller is 4 less than the larger
x - 4 would be the smaller.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
B) point estimation
Step-by-step explanation:
Sample mean is an example of point estimation. It is a point estimation of the population mean.
A point estimate of a population parameter is defined as one value of a statistic. The sample mean is regarded as the best point estimate of the population mean
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
1. Round off each of the following to the nearest whole number.
(a) 8.71
(b) 26.01
(c) 69.48
(d) 103.72
(e) 49.84
(f) 101.35
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(h) 1.23
Answers
☽------------❀-------------☾
Hi there!
~
[tex]8.71 = 9[/tex]
[tex]26.01 = 26[/tex]
[tex]69.48 = 69[/tex]
[tex]103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
Step-by-step explanation:
Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer
If it is 0,1,2,3,4, then write the whole number as it it.
a) 8.71
tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9
8.71 = 9
b) 26.01
Tenth place is 0 and it is less than 5.So, write the whole number as it is.
26.01 = 26
c) 69.48 = 69 { 4 is less than 5}
d) 103.72 = 104 { 7 >= 5}
e) 49.84 = 50 { 8 >= 5}
f)101.35 = 101
g) 39.814 = 40
h)1.23 = 1
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Answer:
x = - 1
option I
Step-by-step explanation:
Equation is: 5x + 6 = 1
Subtract 6 from both sides
5x + 6 - 6 = 1 -6
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Divide both sides by 5
5x / 5 = -5/5
x = -1
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Step-by-step explanation:
8 1/3 in 10 minutes
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Answer:
54.6
Step-by-step explanation:
42 = 70%
100% - 70% = .30%
42 x 1.3 = 54.6
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Answers
Answer:
She can paint 1 1/2 of a room
Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
Total pages in Math 123 book = 230 pages
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You have a total of 230 pages + 2 pages
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Answers
Answer:
a answer to a division problem
Step-by-step explanation:because thats have it is U-U
Answer:
The quotient is 22.5
Step-by-step explanation:
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Answers
Answer:
Hey!
Your answer is -20!
Step-by-step explanation:
(-75) - 82 gives us = -157
(-157) + 83 gives us = -74
(-74) + 54 gives us = -20
I HOPE THIS HELPED!
Answer:
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Step-by-step explanation:
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Answers
Answer:
[tex]g=20[/tex]
Step-by-step explanation:
[tex]4\left(g-17\right)=12[/tex]
Divide both sides by 4:
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Add 17 to both sides:
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Answers
Answer:
4
Step-by-step explanation:
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To Find:The slope of the line passing through the points (8, 3) and (9, 7).
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plzzz give brainliest i really need it for my next rank
Answer:
1 inch= 4 feet for both
Step-by-step explanation:
This also means that the scale converts to 1/4 in. = 12 in.
stay safe
Using proportions, it is found that the scale is of 0.25 inches per feet.
This question is solved by proportions, using a rule of three.3 inches represents 12 feet, while 6 inches represents 24 feet. Since they are multiples, we take one of them, and find how many inches are represented by 1 feet.The rule of three is:
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Applying cross multiplication:
[tex]12x = 3[/tex]
[tex]x = \frac{3}{12}[/tex]
[tex]x = \frac{1}{4}[/tex]
[tex]x = 0.25[/tex]
The scale is of 0.25 inches per feet.
To learn more about proportions, you can check https://brainly.com/question/24372153
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Answers
Answer:
x<1
Step-by-step explanation:
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Answers
Answer:
50mph
Step-by-step explanation:
to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.