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.
Related Questions
If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?
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Answer:
Step-by-step explanation:
6
If 9% of a number equals 5, find 36% of that number.
Answers
Answer:
20
Step-by-step explanation:
You can set this up in an algebraic equation:.09x=5 which translates to 9% times a variable or unknown number equals 5Divide both sides by .09 which turns to 55.5 Multiply by .36 to find 36% of that number which equals 20If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4
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Answer:
Pretty sure it's 3
Answer:
C 3
Step-by-step explanation:
Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?
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.
Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?
Answers
Answer:
She can paint 1 1/2 of a room
Step-by-step explanation:
I believe...
Answer:
8/9
its just simple equations
you do 2/3 divided by 3/4 for the unit rate.
Find the slope of the line passing through the points (8, 3) and (9, 7)
Answers
Answer:
4
Step-by-step explanation:
Since we have 2 points, we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(9-8)
= 4/1
= 4
(8, 3) and (9, 7)
To Find:The slope of the line passing through the points (8, 3) and (9, 7).
Slope Formula:y2 - y1 / x2 - x1
Solution:7 - 3 / 9 - 8
= 4 / 1
= 4
Answer:4
The sample mean is an example of ____.
(A) interval estimation
(B) point estimation
(C) confidence point
(D) confidence
Answers
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
Elena draws a scale drawing for a garden in her backyard. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet. What is the scale of the drawing in inches to feet? IF YOU ANSWER THIS QUESTION RIGHT I WILL MARK YOU BRAINLIEST 50 POINT QUESTION
Answers
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:
3 inches - 12 feet
x inches - 1 feet
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
Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
Answers
Answer:
54.6
Step-by-step explanation:
42 = 70%
100% - 70% = .30%
42 x 1.3 = 54.6
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
(g) 39.814
(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
Which table of ordered pairs represents a proportional relationship?
Answers
Answer:
2nd one
For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81
The probability that an event will happen is P(E)=
34/41.
Find the probability that the event will not happen.
Answers
Answer:
7/41
Step-by-step explanation:
There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.
41-34=7
Therefore, 7/41 is the answer.
Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.
Place the numbers in order from least to greatest.
0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004
Answers
Answer:
2x10^-4,0.004,4x10^-2,,0.042,0.24
Step-by-step explanation:
i did the paper
Whats the answer for −2 1/2,−5 3/4 The distance between the two numbers is
Answers
Answer:
3 1/4
Step-by-step explanation:
-5 3/4 + 3 1/4 = -2 1/2
hat is the quotient of 78.3 ÷ 3.48?
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:
78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer
Hope this helps
Solve the following inequality 90 > 10x + 80
Answers
Answer:
x<1
Step-by-step explanation:
10x + 80 < 90
10x < 90 - 80
10x < 10
x < 1
-75 - 82 plus 83 plus 54
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:
The person above me is correct
Step-by-step explanation:
dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does 's dive take ?
Answers
Answer:
7.5 meters
Step-by-step explanation:
Stay safe!!! Stay 6 feet!!
Answer:
its 7.5
i got it right
The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?
Answers
Answer:
149.5 pages excluding the back parts
150.8 pages including the back parts
Step-by-step explanation:
Total pages in Math 123 book = 230 pages
You aim to complete 65% of all the pages, how many should you finish
65 % of 230 pages
= 65 / 100 × 230 pages
= 0.65 × 230 pages
= 149.5 pages excluding the bark parts of the book
If you include the back parts, that is, the beginning and ending page
You have a total of 230 pages + 2 pages
= 232 pages
65 % of 232 pages
= 65 / 100 × 232 pages
= 0.65 × 232 pages
= 150.8 pages including the back parts
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hope this helps
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Answer:
sgjajzbjsjshissnbsjakskdksoddj XD
Step-by-step explanation:
Solve for g.
4(g - 17) = 12
g=
Answers
Answer:
[tex]g=20[/tex]
Step-by-step explanation:
[tex]4\left(g-17\right)=12[/tex]
Divide both sides by 4:
[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]
[tex]g-17=3[/tex]
Add 17 to both sides:
[tex]g-17+17=3+17[/tex]
[tex]g=20[/tex]
Answer: g=0 or g=20 i hope this helped
The larger of two numbers is four more than the smaller. If the larger is x, what is the smaller?
Answers
Answer:
Step-by-step explanation:
x is the larger. The smaller is 4 less than the larger
x - 4 would be the smaller.
Answer:
x-4 is the smaller
What are two different methods you can use to withdraw money from your checking account?
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Answer:
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8 1/3 in 10 minutes
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What’s the answer confused with this ??
Answers
Answer:
x = - 1
option I
Step-by-step explanation:
Equation is: 5x + 6 = 1
Subtract 6 from both sides
5x + 6 - 6 = 1 -6
5x = -5
Divide both sides by 5
5x / 5 = -5/5
x = -1
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled. Almost-equals30 × 1015 meters Almost-equals3 × 108 meters Almost-equals30 × 108 meters Almost-equals3 × 1015 meters
Answers
Answer:
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Step-by-step explanation:
I just did the assignment:)
Answer:
B
Step-by-step explanation:
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Joyce saved $130 on an item that was 35 % off. What was the original price?
Answers
Answer:
x=$200
Step-by-step explanation:
cross-multiply
130=0.65x