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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:

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.

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Answer:

d

Step-by-step explanation:

correct answer is:

Brown 10 12 15 32

Green 18 23 35 64

Total 28 35 50 96

Answer:The complete sentences are:

Angles 7 and 8 are vertical opposite angles.

The special angles created are vertically opposite angles and adjacent angles.

The value of y is 24, and the measure of angles 7 and 8 is 89 degrees

Relationship between <7 and <8

From the attached figure, we can see that:

The point of intersection of lines C and D created 4 angles.

A pair of angles are either vertically opposite angles or adjacent angles.

Using the second highlight above, we have:

The above means that:

Angles 7 and 8 are congruent

The congruence relationship between both angles is vertically opposite angles.

Special angles created by lines C and D

Using the second highlight above, we have:

This means that, the special angles created are:

Vertically opposite angles

Adjacent angles

Value of y, and the measures of <7 and <8

We have:

--- vertically opposite angles

Collect like terms!

Divide both sides by 2

To calculate <7, we have:

---- adjacent angles

Substitute 24 for y

Subtract 91 from both sides

Hence, the measure of angles 7 and 8 is 89 degrees

Step-by-step explanation:

Answer:

1.) Let x be the number. The inequality can be written as:

x + 7 < 18

Subtracting 7 from both sides, we get:

x < 11

Therefore, the number is less than 11.

2.) Let x be the number. The inequality can be written as:

x + 5 > 26

Subtracting 5 from both sides, we get:

x > 21

Therefore, the number is greater than 21.

3.) Let x be the first integer. The second integer is x+1. The inequality can be written as:

x + (x+1) < 55

Simplifying, we get:

2x + 1 < 55

Subtracting 1 from both sides, we get:

2x < 54

Dividing both sides by 2, we get:

x < 27

Therefore, the largest possible first integer is 26, and the second integer is 27. Their sum is 53.

4.) Let w be the width of the rectangle. The length is 4cm longer than the width, so the length is w + 4. The perimeter is given by:

2(length + width) ≤ 28

Substituting the expressions for length and width, we get:

2(w + 4 + w) ≤ 28

Simplifying, we get:

4w + 8 ≤ 28

Subtracting 8 from both sides, we get:

4w ≤ 20

Dividing both sides by 4, we get:

w ≤ 5

Therefore, the maximum possible width is 5cm, and the maximum possible length is 9cm.

5.) Let x be the first odd integer. The second and third odd integers are x+2 and x+4, respectively. The inequality can be written as:

x + (x+2) + (x+4) ≥ 51

Simplifying, we get:

3x + 6 ≥ 51

Subtracting 6 from both sides, we get:

3x ≥ 45

Dividing both sides by 3, we get:

x ≥ 15

Therefore, the smallest possible first odd integer is 15, and the second and third odd integers are 17 and 19, respectively. The middle integer is 17.

Step-by-step explanation:

Answer:

.559

Step-by-step explanation:

The cost for one admission is $10, and the cost for one ride is $2.

To find the cost for r rides, we need to multiply the cost per ride by the number of rides, which gives:

cost for r rides = $2 x r = $2r

To find the total cost for one admission and r rides, we need to add the cost of one admission and the cost for r rides, which gives:

total cost = cost for one admission + cost for r rides

total cost = $10 + $2r

total cost = $2r + $10

Therefore, the cost for one admission and r rides is $2r + $10.

Answer:

To solve this question, we need to multiply the per-ride cost, which is $2, by the number of rides, r. Then, we need to add the cost of admission, which is $10, to the cost of the rides.

The equation for the cost of one admission and r rides is:

Cost = $10 (admission) + $2r (rides)

So, to find the cost for one admission and r rides, we need to plug in the value for r. For example, if r = 2, the cost would be:

Cost = $10 (admission) + $2(2) (rides) = $14

So, the cost for one admission and 2 rides would be $14.

Similarly, if r = 4, the cost would be:

Cost = $10 (admission) + $2(4) (rides) = $22

So, the cost for one admission and 4 rides would be $22.

Answer:

BCD = 87

Step-by-step explanation:

360 -55 - 128 - 90 = 87

The measure of angle BCD will be 87° .

Given,

Quadrilateral ABCD .

Here,

Measure of all the angles of quadrilateral will be 360° .

So,

Sum of all the angles,

∠(BCD + BAD + ABC + ADC) = 360°

Substitute the values of angles in the above equation,

∠(BCD + 90° + 128° + 55°) = 360°

∠BCD = 87°

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Answer :

Line 1 : 3 x (4 - 1 ) equals 3 x 3 which equals 9

Line 2 : 3 x 4 - 3 x 1 equals 12 - 3 which equals 9

Step-by-step explanation:

Answer:

I don't understand

Step-by-step explanation:

where are the answers?

Koharu could have bought a variety of fruits that add up to 1 pound in weight. Some examples of fruits and their approximate weights per piece are:

- Apples: 1 large apple = 0.5 pounds

- Bananas: 1 medium banana = 0.3 pounds

- Oranges: 1 medium orange = 0.3 pounds

- Grapes: 1 cup of grapes = 0.5 pounds

- Strawberries: 1 cup of strawberries = 0.3 pounds

- Blueberries: 1 cup of blueberries = 0.3 pounds

So Koharu could have bought a combination of these fruits that adds up to 1 pound in weight. For example, she could have bought 2 large apples (1 pound), or 3 medium bananas and 2 medium oranges (1.2 pounds), or 2 cups of grapes and 1 cup of blueberries (1.3 pounds), and so on.

Answer:She could have bought a cantaloupe

Step-by-step explanation: a cantaloupe weighs 16 oz and 16 oz equals 1 pound

Step-by-step explanation:

It seems like a part of the expression is missing at the end, but I will simplify what is given and hope it helps.

{[14 ÷ 2) - 3] x 4}

Starting with the parentheses, we have:

{[7) - 3] x 4}

Next, we can simplify the expression inside the brackets:

{4 x 4}

Multiplying, we get:

16

So the simplified expression is 16.

Answer:

15/112

Step-by-step explanation:

Answer:

for #5 is C and E

and for #6 A and C is yes and B and D is no

im not sure if im right but i hope ot helps

Answer:

∠CHK is adjacent to ∠DHC

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Isolate the x^2 by dividing both sides by (a-b)

y/(a-b)=x^2

2) Then take the square root of both sides

[tex]\sqrt{\frac{y}{a-b}}=\sqrt{x^{2} } \\\\\sqrt{\frac{y}{a-b}}= x[/tex]

Answer:

-8 3/20 units.

Answer:

6 outfits.

Step-by-step explanation:

Bob has 2 shirts and 3 pairs of pants. That means he can wear one of the two shirts with any of the three pants (which'd make 3 outfits) and then with the other shirt with any of those three pants again (which'd make another three outfits.

Since you want to find out how many outfits Bob can make using the five articles of clothing, therefore 3+3=6 and 6 outfits would be your answer.

If you want to think of this problem another way, in simpler terms you can think of it like this: 2*3=6. Two shirts times three pants, which equals to six that makes our answer Bob can make six different outfits from his options above.

Answer:

Including the miles already driven: 680

Step-by-step explanation:

1. We can see that 5 is half of 10, or 1/2.

2. Times 340 by 2 because he has has already driven 1/2 of the time needed, so he needs to drive another 5 hours in order to complete the 10 hours needed.

Or: 340 x 2 = 680.

3. So in 10 hours he will have driven 680 miles.

the answer is 7.4

To find the mean, you add all of the numbers together and divide by the amount of numbers added.

1. 2. 3. 4.

ex: 3+6+7+10=26. there are four numbers before the equal sign.

So the mean is 26÷4 or 6.5

since there are 5 total numbers, and all of the numbers added equal 37, then divide by 5, which will equal 7.4

A speed skater travels 12.5

A cheetah travels 26

I'm pretty sure that is correct

Step-by-step explanation:

Divide the number of meters by the minutes to get the meters per second

Step-by-step explanation:

Don't worry we will take care of everything. It's easy. listen carefully

1. we know the salary of each employee, before raise. and also their raise %age.

2. CONCEPT:- FOR EMPLOYEE (JANE) -

AMOUNT RAISED ON HER SALARY= 4% of $41000

= ( 4/100)× 41000

= $1640 (this is the raised amount in jane original salary)

3. similarly , you can also find raised amount for jhon and jack which will be $1953 and $1182 respectively.

4. for final solution, you just have to add all the raised amount in their original salary. hence final solution will be

= $1640 + $1953 + $1182

= $ 4775 (final solution).

Answer:

Step-by-step explanation:

Answer:for the first on is 4 second one is 3 and the 3rd one is 8

Step-by-step explanation:

i just know stuff