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.

In The Following Figure, The Teacher Asks A Student Named Jerrica To Find The Length Of Segment AM. Jerrica

Answers

Answer 1

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

What are two different methods you can use to withdraw money from your checking account?​

Answers

Answer:

You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.

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

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

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.

8 1/3 in 10 minutes

find unit rate

Answers

Umm it the unit rate is

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.

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

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

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

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

adfh9qgfW9PGFgfogfwgr0fgwpORGFOAWGRO7GTFWARF

Answers

Answer:

sgjajzbjsjshissnbsjakskdksoddj XD

Step-by-step explanation:

what is a median of 11,16,29,29,29,33,52,52,52

Answers

29 is the median
If you just count all then the half number will be the 3rd 29

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

-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:

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

Given Points:

(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

Inverse functions, PLEASE HELP I’m stuck

Answers

I learned how this week so I can help3/4

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

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 20

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.

50 mph is correct. The 45 minute round trip is actually useless information in answering this question. You can divide 60+40 by 2 or in this case, when you only have 2 numbers to look at, you can find the median and the median will be the same as the mean. Unless you’re very comfortable with finding averages, I wouldn’t suggest calculating this by the median, but that is what I did because I’m very familiar with the pattern of finding means.

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

What standard measurement would be best used to determine how much milk is in a milk carton for lunch?

Answers

liters


hope this helps

If 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

Answers

Answer:

Pretty sure it's 3

Answer:

C 3

Step-by-step explanation:

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:

B. Almost-equals3 × 108 meters

Step-by-step explanation:

I just did the assignment:)

Answer:

B

Step-by-step explanation:

Just took the asignment.

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

 

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

the original price would’ve been $200

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

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

If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?

Answers

Answer:

Step-by-step explanation:

6

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

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