A student solved the following problem and made an error:
Triangles ABC and DEF. Angles A and F are congruent and measure 63 degrees. Coordinates for the vertices are at A 1, 2 and B 1, 4 and C 3, 3 and D 5, 1 and E 3, 2 and F 5, 3.


Line 1 segment AB equals 2, segment FD equals 2, segment AB is congruent to segment FD
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AC.
A (1, 2)
C (3, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, then d equals square root of quantity 1 minus 3 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1 squared, then d equals square root of 4 plus 1, then d equals square root of 5
segment AC = 2.23
Line 4 Length of segment EF.
E (3, 2)
F (5, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared then d equals square root of quantity 3 minus 5 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1, then d equals square root of 4 plus 1, then d equals square root of 5
segment EF= 2.23
Line 5 segment AC is congruent to segment FE
Line 6 triangle ABC is congruent to triangle EFDby SAS

In which line did the student make the first mistake?
Line 1
Line 5
Line 6
Line 2

Answers

Answer 1
I think its line 2, could be wrong tho.

Related Questions

Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.99. If the four friends split up the cost of the snacks equally, how much should each friend pay?

Answers

2.99 because you add the total cost up, which would be 11.96. So then you would divide 11.96 by 2.99 which gives you 2.99


Add all the numbers up which equals up to 11.96. Then divide 11.96 into 4. it equals 2.99 so each friend is gonna pay 2.99

2/3x + 1/6 = -3/4 x + 1

Answers

Multiply all terms by 12/1 to get rid of fractions.
8x+2= -9x+12

Add 9x to both sides
17x+2=12

Subtract 2 from both sides
17x=10

Divide both sides by 17
x=10/17

Final answer: x=10/17

8x(30+2)=(8x_____)+(8x2) what is the missing number

Answers

30 is the missing number
30 would be the correct answer

What is the y-intercept of the equation of the line that is perpendicular to the line y = x + 10 and passes through the point (15, –5)?

The equation of the line in slope-intercept form is y = x +

Answers

y = x + 10 has slope = 1
perpendicular lines, slope is opposite and reciprocal
so perpendicular line slope = -1
passes through the point (15, –5)
y = mx + b 
-5 = -1(15) + b
b = -5 + 15
b = 10 
y -intercept : 10

The equation of the line in slope-intercept form is y = -x + 10

728,379 in expanded form

Answers

Hey there!
 
The word-form: [tex]seven \\ hundred \\ twenty-eight \\ thousand \\ , \\ \\ three \\ hundred \\ seventy-nine [/tex]

Because:[tex]7 =700,000 \\ 2 = 20,000 \\ 8 =8,000 \\3 = 300 \\ 7 = 70 \\ 9 = 9 [/tex]

Your Answer: [tex]700,000 + 20,000 + 8,000 + 300 + 70 + 09 [/tex]
Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

What's twenty and fifteen thousandths in standard form HELP PLSSSSS

Answers

20.015

Because there are 3 numbers before a thousand so 3 numbers behind the decimal are the thousandths.

Write 24 7/100 as a decimal. I don't know how to do it.

Answers

24.07 is the decimal. 

Give the coordinates of the point located halfway between (2,1) and (2,4)

Answers

The midpoint formula is (x1 + x2)/2:

(1 + 4)/2
5/2

(2, 5/2)

Hope this helps!

The coordinates of the mid - point are - M(2, 2.5).

We have two coordinate points -  A(2, 1)  and  B(2, 4)

We have to find the midpoint of this line AB.

What is Mid - Point Theorem?

It states that a line with endpoint coordinates as - [x(1), y(1)] and [x(2), y(2)] has its mid - point at the coordinates -

x(m) = [tex]$\frac{x(1)+x(2)}{2}[/tex]

y(m) = [tex]$\frac{y(1) + y(2)}{2}[/tex]

According to question, we have -

First coordinate Point - A(2, 1)

Second coordinate Point - B(2, 4)

Using the Mid - Point formula, we get -

x(m) = [tex]$\frac{x(1)+x(2)}{2} = \frac{2+2}{2} =2[/tex]

y(m) = [tex]$\frac{1+ 4}{2}=2.5[/tex]

hence, the coordinates of the mid - point are - M(2, 2.5).

To solve more questions on Mid - points, visit the link below -

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A car is changing speed from 11 m/s to 26 m/s in a time interval of 3.0 s.

What is the acceleration of the car?
Answer Options with 4 options
A. 0.2 m/s,superscript,2,baseline,
B. 3.4 m/s,superscript,2,baseline,
C. 5.0 m/s,superscript,2,baseline,
D. 8.7 m/s,superscript,2,baseline,

Answers

You can use the acceleration equation
(11 - 26)/ (3.0) = 5.0

Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.

Answers

The perimeter is 29 inches. With perimeter, you just add.


11 inches + 5 inches + 13 inches

= 29 inches

square root of 12 is between

Answers

Since the whole squares that are surrounding 12 are 9 and 16, and their square roots are 3 and 4, we know that the square root of 12 must be in between 3 and 4.

If you are facing north. Turn 90 degrees left. Turn 180 degrees right. Reverse direction. Turn 45 degrees left. Reverse direction. In which direction are you facing now

Answers

You would be facing southwest
you're not facing southwest

1. x - 3 = 7
2. 8w = 48
3. 9 + y = 100
4. a/2 = 18
SHOW WORK PLZ

Answers

1. x-3=7 , x =7+3 = 10


2. 8w=48, w = 48/8 = 6


3. 9+ y =100, y=100-9 = 91


4.a/2 =18, a = 18*2 = 36

1. 7+3=10
2. 48/8=6
3. 100-9=91
4.18x2=36

1,200 dividend by 251.2 Rounded to the nearest cent

Answers

1200 divided by  251.1 = 4.8 
1,200 divided by 251.2 = 4.777070064 which is almost equal to 4.78 :)

1. Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

Answers

x represents the amount of hours
peppy pets 15 + 3x
happy hounds 21 + x

15 + 3x = 21 + x
subtract x from both sides

15 + 2x = 21
subtract 15 from both sides

2x = 6
divide each side by 2

x = 3 hours


Algebraic equations are equations that consist of unknown variables. These variables can be represented using the letters of the alphabet.

The total fee charged by the companies will be the same in 3 hours.

Let's represent the number of hours as :h

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. The algebraic equation to represent this statement is given as:

$15 + $3 x h

15 + 3h ..........Equation 1

Happy Hounds charges a flat fee of $21 plus $1 per hour. The algebraic equation to represent this statement is given as:

$21 + $1 x h

21 + h ..........Equation 1

We equate both equations to each other

Equation 1  = Equation 2

15 + 3h  = 21 + h

Collect like terms

3h - h = 21 - 15

2h = 6

Divide both sides by 2

2h/2 = 6/2

h = 3

Therefore, the total fee charged by the companies will be the same in 3 hours.

To learn more, visit the link below:

https://brainly.com/question/19631146

Least to greatest 2.3, 2 4/5, 2.6

Answers

First||            2.3, 2.6, 2 4/5          ||Last
Least: 2.3
Middle: 2.6
Greatest: 2 4/5 or 2.8

3x - 6 = 6 - 3x what is x

Answers

move -3x to left side and move -6 to right side
3x+3x=6+6
6x=12
divide both sides by 6
x=2

Answer:

x is 2

Step-by-step explanation:

putting in x

6-6=6-6

0=0 √

The original price of a ski jacket was $240. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.

Answers

Hi!

240*.75 = 180
180*.9 = 162

$162

Hope this helps!

What's the answer to 2+{8-2[32+5(1+2)]}

Answers

2+{8-2[32+5(1+2)]}
2+{8-2[32+5(3)]}
2+{8-2[32+15]}
2+{8-2[47]}
2+{8-94}
2+{-86}
-84

Each week, Tina earns $x babysitting and receives $10 as her allowance. To find how much she will earn in total over 4 weeks, Tina calculates : x + 10 + x + 10 + x + 10 + x + 10 What is another way Tina can calculate how much she will earn in total over 4 weeks? Drag and drop the equivalent expression in the box.


4X+10 X+40 4(X+10) X+10

Answers

each week, she earns babysitting+allownce

4 weeks
so 4 times total earned per week or 4(x+10) is another way

Here is to the point:

4 (X=10)

(-9.6)÷(-3 1/5) i suck at math please help

Answers

The answer 16 because you convert the mixed number into a improper fraction and then divide and Reduce the number.
(-9.6) ÷ (-3 1/5)
= (-9.6) ÷ (-3.2)
= 3

please help everyone
tysm!

Answers

1) fur trade
2)France did (in Canada and around it pretty much)
3)D i believe
4) not enough information

hope this helps

1. Choose the equation you can use to solve the following problem.
Each cupcake costs $4.00. How many cupcakes, x, are purchased if the total cost is $36.00?
(1 point)
2. Choose the equations you can use to solve the following problem.
Sam is 3 years younger than Marco. Marco is 15 years old. How old is Sam?
Let x represent Sam's age, in years.
(2 points)
3. The equation below represents how many hours, x, it will take to travel 210 miles at an average speed of 60 miles per hour.
How long will it take? 60x210

Answers

1.    4x=$36.00  x = 9 cupcakes                                                                            2.    15-3=x   x = 12 years old                                                                                3.     210/60 = x   x = 3.5 hours 




Final answer:

To solve the given problems, use linear equations: for cupcakes, 4x = 36; for Sam's age, x = 15 - 3; and for travel time, 210 = 60x.

Explanation:

1. To find how many cupcakes, x, can be purchased for $36.00 when each cupcake costs $4.00, we use the equation 4x = 36. This equation represents the cost of cupcakes multiplied by the number of cupcakes equals the total cost.

2. For determining Sam's age, given that Sam is 3 years younger than Marco, who is 15 years old, we represent Sam's age with x. The equation to calculate Sam's age would be x = 15 - 3.

3. The equation presented as 60x210 seems to be a mistake. To find out how many hours, x, it will take to travel 210 miles at an average speed of 60 miles per hour, the correct equation is 210 = 60x.

Ashely walks 2 1/2 miles around a lake around three times a week. If Ashley walks around the lake in 3/4 hour,what is her rate of speed? (Hint: Use the formula r= d/t, where the r is rate, d is distance, and t is time.

Answers

To find Ashley's rate of speed in miles per hour, you will use the formula

Rate = Distance/Time.

First, you should fill in what you know. In this case, you know the distance is 2.5 miles, and the time is 0.75 hours. Now, you simply plug in the known variables to the formula to get Rate = 2.5 miles / 0.75 hours. After dividing, you reach the answer Rate = 3.333333 (or 3 and 1/3) miles/hour.

47,57,66,74,81,87,92 what is the pattern

Answers

The next numbers are 
96, 99, 101

The complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.

What is pattern of numbers?

A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

The given sequence of numbers are 47, 57, 66, 74, 81, 87, 92.

Here, 47+10=57

57+9=66

66+8=74

74+7=81

81+6=87

87+5=92

92+4=96

96+3=99

99+2=101

101+1=102

So, the next 4 terms of the given pattern are 96, 99, 101, 102

Therefore, the complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.

Learn more about the pattern here:

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I need help on this question

Answers

[tex] \frac{1}{8} [/tex]  ÷ 6

[tex] \frac{1}{8} [/tex]  ÷ [tex] \frac{6}{1} [/tex]

[tex] \frac{1}{8} [/tex] ⋅ [tex] \frac{1}{6} [/tex]

1⋅1=1
8⋅6=48

= [tex] \frac{1}{48} [/tex]
(1/8) ÷ (6) is the same as (1/8) ÷ (6/1)

Dividing 2 fractions = multiplying the first one by the inverse of the second.
 The inverse of 6/1 is 1/6, then

(1/8) ÷ (6) = (1/8) x (1/6) = 1/48


 The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?

Answers

I think the answer would be $3.06.

Answer:

3.06

Step-by-step explanation:

   

What is 0.21212121.... as a fraction

Answers

if numbers repeat, it's problby divided by 9 or some multipule of 9

if 2 numbers repeat, it's probbalby divided by 99


like 0.abababababab=ab/99


so
0.21212121
21 repeats
so it is 21/99 or 7/33
If we make the number equal to x...
0.21212121.... = x 
multiply each side by 100
21.212121.... = 100x 
remember that x is 0.21212121? we can subtract that now from 21.21212121, as well as x from 100.
21.212121... - 0.212121... = 100x - x 
we are left with 21 = 99x
21 = 99x 
simplify....
7 = 33x 
and divide!
7/33 = x


Your answer is: 0.2121212121.... = 7/33

What are 5 numbers that have 5, 11, and 2 as prime factors

Answers

110, 220, 330, 440, 550

hope this helps

On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time.

About how many milliliters of gasoline are burned per minute by commercial airplanes in flight in the United States?

Enter your answer in the box.

1.2 x 10 (to what power) mL

Answers

3.9 x 5.1 = 19.89

10^3 x 10^3 = 10^6

19.89 x 10^6

move decimal point

1.989 x 10^7

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