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
Given f(x)=3x-1 find f(-1)
Answers
Answer:
f( - 1) = - 4Step-by-step explanation:
f(x) = 3x - 1
To find f(-1) substitute the value of x that's
- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve
That's
f( - 1) = 3(-1) - 1
= - 3 - 1
We have the final answer as
f(-1) = - 4Hope this helps you
Identify three of the key messages used by advertisers when promoting their products.
Answers
Answer:
1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."
Step-by-step explanation:
Which number should go in the ?
5 + 3 = 3 + 0
() 8
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7x + 15 - 9x = 5 plz help
Answers
Answer:
x =5
Step-by-step explanation:
[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]
Simplify (4.5)(5)(−2).
45
4.5
−4.5
−45
Answers
Answer:
-45
Step-by-step explanation:
(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
Answer:-45
Step-by-step explanation:(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
A plane flew to its destination 300 miles away. With a tail wind, the flight took 5/6 of an hour. The return
trip, with a head wind, took 1 hour. Find the speed of the wind and the speed of the plane.
Thank youu
Answers
Answer:A plane flew to its destination 300 miles away. With a tail wind, the flight took 5/6 of an hour. The return trip, with a head wind, took 1 hour....
Step-by-step explanation:
How do you do question #5?
Answers
Step-by-step explanation:
If two variables x and y are independent, then:
P(x and y) = P(x) P(y)
Or, in terms of conditional probability:
P(x given y) = P(x)
From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.
From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.
Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.
find the indicated unknown angle measure.
Answers
Answer:
Pretty sure it's 47°
please help me asap
Answers
2. D (19/12)
3. A (5/2)
This one is pretty simple. The explanation is that to convert a mixed fraction into an improper fraction, you have to multiply the whole number by the denominator. After you have done that, you have to add the total of the product of the whole number and denominator, you add that by the numerator. And that’s it, pretty simple.
1.
8 x 1 = 8 + 7 = 15
15/8
2.
12 x 1 = 12 + 7 = 19
19/12
3.
2 x 2 = 4 + 1 = 5
If a plant grows 1/4 cm everyday for 21 days, what is the total amount of growth PLS HELP
Answers
I need help on 13&14
Answers
Answer:
[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]
Simplifies to:
[tex]36i^2 + 3[/tex]
[tex]= 39[/tex]
Please help me! Find the sale price
Answers
Answer:
sale price is $104
Step-by-step explanation:
Given the equation in the problem S=P-0.20P:S = P - 0.20PS = (130.00) - (0.20 · 130.00)S = 130-26S = $104Answer:
$104.00
Step-by-step explanation:
So we know that in the equation:
S = P - 0.20P
P is the original price and S is the sale price, which is also the original price reduced by 20%.
We are also given that the original price of a digital media player is $130.00.
We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:
S = 130 - (0.20)(130)
S = 130 - 26
S = 104
So now we found the sales price of the digital media player, which is $104.00.
I hope you find my answer helpful.
Need help on this question please
Answers
===========================================================
Explanation:
Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.
The two angles form a 180 degree straight angle
(4x+13) + (9x-2) = 180
4x+13 + 9x-2 = 180
(4x+9x) + (13-2) = 180
13x + 11 = 180
13x+11-11 = 180-11 .... subtracting 11 from both sides
13x = 169
13x/13 = 169/13 .... dividing both sides by 13
x = 13
We can verify this by noticing that
4x+13 = 4*13+13 = 65
9x-2 = 9*13-2 = 115
So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.
-----------------
The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary
Let's use x = 13 to find the value of y
(9x-2) + (6y-1) = 180
9x-2+6y-1 = 180
9x+6y-3 = 180
9*13+6y-3 = 180 .... plug in x = 13
117+6y-3 = 180
6y+114 = 180
6y+114-114 = 180-114 .... subtract 114 from both sides
6y = 66
6y/6 = 66/6 ...... divide both sides by 6
y = 11
To help confirm,
6y-1 = 6*11-1 = 65
which adds onto the (9x-2) = 115 degree angle to get 180.
-----------
Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.
write the ratio to 10 ounces to 4 pounds
Answers
1 pound = 16 ounces
you should make both with the same unit measurement. Let's convert them to ounces.
4 pounds= 4x16 ounces=64 ounces
ratio 10 ounces to 4 pounds= 10 ounces : 64 ounces
= 5 ounces : 32 ounces= 5 : 32
Answer:
5 : 32Step-by-step explanation:
1 pound = 16 ouncestherefore, 4 pounds = 64 ounces= 10 ounces : 64 ounces = 5 : 32Here is ur answer !!!plzz like share and comment guys!!!!!!! and don't forget to vote
Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.
Answers
1/3 divided by 4/5 = 5/12
explain the process to calculate the distance between A= (9,7), B= (3,2)
Answers
Answer:
Step-by-step explanation:
Distance Formula in Pic
You just plug in the numbers for x1,y1 and x2,y2
A is your x1 and y1
B is your x2 and y2
after plugging it you do PEMDAS and solve it
Calculate the average speed between 160s and 200s
Answers
Answer:
The answer for your question is 1.25 m/s.
Step-by-step explanation:
this is your answer.........
I have done a hard work please mark it as brainliest
Find the sum. 4.88 + 1.6 *
Answers
Answer:
6.48
Step-by-step explanation:
Start with:
[tex]4.88[/tex]
+ [tex]1.6[/tex]
I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]
Rewrite:
[tex]4.88[/tex]
+ [tex]1.60[/tex]
Add.
[tex]6.48[/tex]
a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
Answers
Answer:
The original price is 337.50
Step-by-step explanation:
If we get 20% off, we still have to pay 100-20 =80%
Let x be the original price
x *80% = 270
.80x = 270
Divide each side by .80
.80x/.80 = 270/.80
x =337.50
The original price is 337.50
Answer:
the original price was $324.
Step-by-step explanation:
since 20% of $270 is $54, you add the $54 and get $324.
hope this helps! best of luck <3 (also i didn't include tax; it didn't specify and also i don't know the tax for your region)
Jerome has $28 in his pocket. He wants to buy as many candy bars as he can for $1.75 cach. Write an equation to show how many candy bars he can buy?
Answers
Answer:
16
Step-by-step explanation:
Take the total amount and divide by the amount per candy bar
28 /1.75
16
He can buy 16 candy bars
Meg skateboards One-fourth of a mile in One-half of an hour. At this rate, how far will she skateboard in an hour?
Answers
Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour
Answer:
meg would have skated 1/2 of a mile in 1 hour.
Step-by-step explanation:
(2/3)to the power of 4=16/81
how to get this answer?
Answers
What’s this I need help with math...
Answers
Answer:
3^12 = 531441
Step-by-step explanation:
For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:
[ ( 3^2 ) ^ 3 ] ^ 2
= [ 3^2 * 3^2 * 3^2 ] ^ 2
= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2
And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:
3 ^ (2 + 2 + 2 + 2 + 2 + 2)
= 3^12
Either way of power manipulation, you end with the same result of 3^12. Hope this helps.
Cheers.
Ana Maria had $28000 to invest. She divided the money into three different accounts
Answers
Answer:
If the question is how much she would have in each account the value would be that two would have $9,333 and one would have to be $9,334
Step-by-step explanation:
If angle W and angle V are supplementary angels and measure at V is 49 degrees what does measure of angle W equal?
Answers
Answer:
131
Step-by-step explanation:
supplementary angles are any two angles whode sum is 180. If v= 49 then 131 would be W. 131+49= 180
It takes 3 men 5 hours to repair a road. How long will it take 5 men to do the job if they work at the same rate?
hours
Answers
Answer:
8 hours and 1 min
Step-by-step explanation:
3men=5hours
5men=x
cross multiply
5x5=3x
25=3x
divide both side by 3
x=8hrs and 1 min
The table shows three popular flavors according to the results of a survey. What is the
decimal value of those who liked vanilla, chocolate, or strawberry? Round to the
nearest hundredth.
Answers
Answer:
0.45
Step-by-step explanation:
Which angles are right?
Check all that apply.
A. GFE
B. MLK
C. EFH
D. KLJ
Answers
Answer:
<MLK
<EFH
<KLJ
Step-by-step explanation:
Each Is At A Right Angle, I Just Answered This On My Quiz.
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
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 13 Shift the graph of y = x2 right 13 units. Shift the graph of y = x2 left 13 units. Shift the graph of y = x2 down 13 units. Shift the graph of y = x2 up 13 units.