Which of the following explains the student's error?

Multiple choice questions.
cross out

A)
The two angles must equal 90°, so 2x+6+60=90
C)
The two angles do not equal 180°. They are vertical angles, so 2x+6=60
D)
The student should have added 66 to both sides of the equation instead of subtracting 66.

Part B
Fill in the blank question.
What is the correct solution?

Answers

Answer 1

The correct explanation for the student's error is: (C) The two angles do not equal 180°. They are vertical angles, so 2x+6=60

Vertical angles are pairs of angles formed when two lines intersect. These angles are opposite each other and have equal measures. However, the student incorrectly assumed that the vertical angles were supplementary angles (adding up to 180°).

As a result, they set up the equation as 2x + 6 + 60 = 180, which does not apply to vertical angles. This is why option C explains the error by stating that the two angles are vertical angles, and the correct equation should be 2x + 6 = 60.

To solve the correct equation for 'x', which is 2x + 6 = 60, follow these steps:

Start with the equation: 2x + 6 = 60Subtract six from both sides of the equation: 2x = 54Divide both sides by 2: x = 27

The correct solution is x = 27, which means that the value of 'x' that satisfies the equation 2x + 6 = 60 is 27. This correctly reflects the measure of the angle within the given context.

In summary, the student's error stemmed from misunderstanding the nature of vertical angles and incorrectly assuming that they were supplementary angles. By recognizing the correct characteristics of vertical angles and applying the appropriate equation, the solution can be accurately determined as x = 27.


Learn more about angles:
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Related Questions

help me ! please needs to be done today

Answers

Answer:

I believe the answer will be C, because if Claire wants a cupcake also, then it would have to be 30. After all, 29 girls, not including Claire.

Answer:

C

Step-by-step explanation:

They're 24 boys and 29 girls which she's not included in. If she wants to know how many she knew to make for here to get 1 cupcake and the rest of friends she's inviting she'll have to do 24 boys + 29 girls + plus her(1). Making it 24 + 30 = c

If u help me with this question u are a topG

Answers

Answer:

37

Step-by-step explanation:

I’m not sure if this is the right way, but it should get ur answer/

Do 2 x 11 = 22 (I got 11 by add 3,4,4)

And then 5x3 which is 15

15 + 22 = 37

Answer:37 ft^2

Step-by-step explanation:

2*11=22

cuz 4+4+3

then

5*3=15

22+15= 37ft^2

Sofia needs 8 inches of ribbon to make 1 party favor. Which of the following lengths would be enough ribbon for Sofia to make from 15 to 20 party favors? 1 inch 5 2.54 centimeters, 1 centimeter < 0.39 inch
A 61 centimeters
B 390 centimeters
C 405 centimeters
D 411 centimeters
E 490 centimeters

Answers

First, we need to determine how much ribbon Sofia needs for each party favor. Since she needs 8 inches of ribbon for one party favor, we can convert that to centimeters (since the answer choices are given in centimeters):

8 inches x 2.54 cm/inch = 20.32 cm

So Sofia needs 20.32 cm of ribbon for each party favor.

To find out how much ribbon she needs for 15 to 20 party favors, we can multiply the amount needed for one party favor (20.32 cm) by the number of party favors:

15 party favors x 20.32 cm/party favor = 304.8 cm
20 party favors x 20.32 cm/party favor = 406.4 cm

The closest answer choice to this range is C, 405 centimeters. Therefore, C is the correct answer.

Answer:

D: 411 centimeters

Step-by-step explanation:

Multiply 8 by 15 you'll get 120 inches from thisMultiply that by 2.54 to find how many centimeters it is. It would be 304.8 centimeters.Then repeat steps 1-2 but replace 15 inches with 20 inches. When you multiply it by 8 it becomes 160 and it becomes 406.4 centimeters when it's multiplied by 2.54 which is why the correct answer is D

Please answer the question

Answers

Answer:

X=10

Step-by-step explanation:

subtract 30 from 68= 38

add two to 38 = 40

what times 4 gives you forty?= 10

10 is the answer for x

Need help in this
Sam has a deck that is shaped like a triangle with a base of 15 feet and a height of 6 feet. He plans to build a 4:5 scaled version of the deck next to his horse's water trough.

Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)

Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)

Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)

Answers

Answer:

Part A: 42        Part B: 90

Step-by-step explanation:

Part A: 6x2=12      15x2=30

              12+30= 42

Part B: LxW=A

6x15= 90

Balvinder had his first child on his 26th birthday, his second child exactly 4 years later, and his third child exactly 4 years after that. How old was Balvinder when his age was equal to the sum of his three children's ages?
Answer with explanation pls

Answers

Answer:

Step-by-step explanation:

Answer:34 years old

Step-by-step explanation:26+4+4=34

WILL MARK BRAINLIEST IF YOU ANSWER THIS!!!! (not joking)
There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical tank holds 1,600 liquid gallons and has a radius of 2.2 feet, what is the approximate height of the water tank? Approximate using pi = 3.14 and round to the nearest tenth.
213.9 feet
44.2 feet
14.1 feet
4.8 feet

Answers

Answer: 14.1                                                        

................................

It can only be 14.1 BRAINLIST = LEGEND OF U

Which number is divisible by 5 and 10?

Answers

Any number divisible by 10 is also divisible by five. Ex 110/10 is 11 but 110/5 is 22

evaluate 3^-4 into a fraction or whole number

Answers

Answer:

[tex] \frac{1}{81} [/tex]

Step-by-step explanation:

Use the degree properties:

[tex] {3}^{ - 4} = { (\frac{1}{3})}^{4} = \frac{ {1}^{4} }{ {3}^{4} } = \frac{1}{81} [/tex]

The wholesale price for a bookcase is $194. A certain furniture store marks up the wholesale price by 11%. Find the price of the bookcase in the furniture store. Round your answer to the nearest cent, as necessary.

Answers

215.34 is the answer because 0.11 x 194 is 21.34 and you add that to 194 you get 215.34

from 22 kilograms of fresh mushrooms, 2.5 kilograms of dry mushrooms are obtained, containing 12% water. What is the percentage of water in fresh mushrooms?

(I didn’t really understand the problem’s wording, so you don’t have to give me an answer if you aren’t able to. Just an approach at it.)

Answers

Answer:114

Step-by-step explanation:

i am smart

The percentage of water in fresh mushrooms is 10 percent.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, from 22 kilograms of fresh mushrooms, 2.5 kilograms of dry mushrooms are obtained, containing 12% water.

Let x% of water in fresh mushrooms.

Here, x% of 22 = (100-12)% of 2.5

x/100 ×22 = 88% of 2.5

22x/100= 88/100 ×2.5

22x=88×2.5

x=4×2.5

x=10%

Therefore, the percentage of water in fresh mushrooms is 10 percent.

To learn more about the percentage visit:

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#SPJ2

please help and if you answer both I will give Brainliest

Answers

Answer:

For the first one it's B. 339.12 square units

and for the last one it's D. 235.5 squad units

Step-by-step explanation:

I'm 99.9% that this is right!

I'm really sorry if it's not!

hope this helps!

Answer:

1.B

2. D

Step-by-step explanation:

A scale drawing of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?

252 feet
211.2 feet
208.8 feet
175 feet

Answers

Answer:

211.2

hpoe this helps

the answer is 252 feet!! the other person is wrong!! if the 1 in 1.2 = 210, then the 2 would be 20% of 210 which is 42. and 42+210= 252.

Brainliest if correct!

Triangle XYZ is drawn with vertices X(−2, 4), Y(−9, 3), Z(−10, 7). Determine the line of reflection that produces Z′(10, 7).

A: y-axis
B: x-axis
C: y = 3
D: x = −4

Answers

Answer:

A:y-axis

Step-by-step explanation:

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

What is an angle that is adjacent to CED?

Answers

The angle adjacent to CED is BEC

Answer: CEB

Step-by-step explanation:

adjacent means touching/joint vertex so CED touches CED

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,512 from popcorn sales and $1,584 from nacho sales. If on the next night the employees sell $1,848 of popcorn, how much is earned from nachos

Answers

Answer:

$1,920

Step-by-step explanation:

$1,848 minus $1,512 equals $336

$336 plus $1,584 equals $1,920

There is your answer

$1936

Explanation:

1512. 1848
——- = ———
1584. x

Cross multiply and divide
(1848x1584)/ 1512

{Brainliest} if correct

Use the graph below to answer the question.

Determine the scale factor used to create the image.

one half
2
one fourth
4

Answers

Answer:

The scale factor used to create the image is one-half.

I NEED HELP PLSS. I CANT DO IT

Answers

Answer:

A= 8/200

B) 81/200

MASSIVE DROP 100 POINTS

Please help me I don't understand

Answers

well, for 3)

we have a cylinder with a hole in it, mind you that we don't have a height for it, so let's call our height "h".

so hmmm let's take the area of the circular rings atop and bottom, Check the picture below.  Then we'll take the lateral area of the cylinder.

now, we have a hole in the middle, a cylindrical hole, since we need the walls of that hole, that's simply just the area of the inner-cylinder.

[tex]\stackrel{ \textit{\LARGE area of the outer part} }{\stackrel{ \textit{two circular rings} }{(2)\pi (\stackrel{ R^2 }{10^2} - \stackrel{ r^2 }{5^2})}~~ + ~~\stackrel{ \textit{lateral area} }{2\pi (10)(h)}}\implies 75\pi +20\pi h \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{ \textit{\LARGE area of the inner part} }{\stackrel{ \textit{total area of inner cylinder} }{2\pi (5)(h+5)}\implies 10\pi h+50\pi} \\\\[-0.35em] ~\dotfill\\\\ (75\pi +20\pi h)~~ + ~~(10\pi h+50\pi)\implies {\Large \begin{array}{llll} 125\pi +30\pi h \end{array}}[/tex]

they other person is right!

Event A: Spinning green or yellow on the spinner shown Event B: Rolling an odd number on a number cube What is P(A and B)?

Answers

Answer: Not sure if this is correct, but I believe the answer is B.

Step-by-step explanation:


Event A Probability = 2/5

Event B Probability = 1/2


P(A and B) = 2/5 * 1/2

P(A and B) = 2/10 = 1/5

B. 1/5

What is the height of the parallelogram?


5 cm


2 cm


4 cm


8 cm

Answers

The answer is 4 cm. Since 24 divide by 6 is 4
The answer is 4, Because you divide the Area by the base ex; 24 divided by 6 is 4.

A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.

What is the area of the playground?

900 square yards
855 square yards
1,710 square yards
1,305 square yards

Answers

Answer:

By answering the presented question, we may conclude that Therefore rectangle 855 square yards is the closest response choice.

What is rectangle?

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

The rectangle has a 20-yard base and a 10-yard height, hence its area is:

200 square yards = 20 yards x 10 yards

The triangle on the left has a 20-yard base and a 45-yard height (since the top side of the polygon is indicated as 45 yards), hence its area is:

450 square yards = 1/2 x 20 yards x 45 yards

210 square yards = 1/2 x 12 yards x 35 yards

As a result, the total playground area is:

860 square yards = 200 square yards plus 450 square yards plus 210 square yards

Therefore 855 square yards is the closest response choice.

help me, please so I can get a better score

Answers

Answer:

27

Step-by-step explanation:

the sum of both of these angles would be 180

45+5x=180

5x=180-45

5x=135

x=27

So first you cut the shape into two triangles. One triangle is 180 so you would do 45+45+5x+5x=360. SP then you add up the numbers 45+45=90 then you would do the same for 5x+5x =10x. Now that you have both numbers you’re able to subtract 90 from 360 and that equals 270 now you do 270 divided by 10x and that equals 27

Help asap! 40 points

Given d || e.

∠1 and ∠2 are ___
vertical
corresponding
complementary
supplementary
angles.

∠6 and ∠8 are ___ angles. (same options as first one)

∠1 and ∠5 are ___ angles. (same options as first one)

Answers

Answer:

∠1 and ∠2 are supplementary angles.

∠6 and ∠8 are vertical angles

∠1 and ∠5 are corresponding angles.

Step-by-step explanation:

∠1 and ∠2 lie on a straight line which will always add up to 180 degrees or supplementary.

∠6 and ∠8 lie opposite each other on the transversal (intersecting line) and are equal.

<1 and <2 are Supplementary angles

<1 and <5 are Corresponding angles

<6 and <8 are Vertical angles

Given that d II e

when a transversal intersects two parallel lines the following conditions are true:

Supplementary angles are those angles when the sum of two angles is equal to 180 degrees. Since <1 and <2 are on either side of the transversal their sum is equal to 180 degrees hence why it's a supplementary angle.

Vertical angles form 4 angles when a line intersects them and the two angles are opposite to each other. In this case <6 and <8 are opposite each other hence why they are vertical angles.

Corresponding angles are the angles that are in the same position on each of the parallel lines and on the same side of the transversal. In this case both <1 and <5 are on the same side of the transversal on each of the parallel lines hence why they are corresponding angles

To learn more about supplementary, corresponding, and complementary angles,

https://brainly.com/question/30147425?referrer=searchResults

https://brainly.com/question/14954159?referrer=searchResults

Can't do this because of numbers including e in it.

Answers

Answer:

Step-by-step explanation:

Answer:

A) 756522

B) 5687649.7

C) 14561856000000000000

Step-by-step explanation:

The Box-and-Whisker Graph shows the heights, in inches, of children between ages of 7 and 14. Between which two numbers would we find the lower 50% of the data?

A. Between 52 and 61 B. Between 61 and 64.5 C. Between 61 and 72 D. Between 57.5 and 61

Answers

Answer:

A. Between 52 and 61

Step-by-step explanation:

In this box and whisker plot Q1 represents the first quartile or the bottom 25% of all the data(25th percentile)

Q2 represents the second quartile and represents the lower  50% of all the data 50th percentile). The middle line represents the median of the data set.

Therefore the lower 50% of the data is found between 52 (lower limit) and 62(50th percentile)

I have no clue and I always get these questions wrong! It would be awesome if someone can help me!

Answers

Sorry if this doesn’t help now!


The number between 67 and 113 which is a multiple of 3, 9, and 12 will be 725, and 108.


All the LCM= 36

If the number is a multiple of 36 will be also a multiple of 3, 9, and 12.36,

725 and 108

please help me thanks

Answers

the first answer is 1.429624 × 1012

id know how to do the rest, sorry

The question is on the picture

Answers

A and C i believeeeeeee

Please answer the question

Answers

Solution:
2x+15=3x-15
x=30

We can also conclude that each angle equals 45 degrees, and that the ray is an angle bisector.
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