WILL BE MARKED BRAINLYESTRay OJ bisects Angle LOK.

Measurement of Angle LOK = 82 degrees.

Solve for x.
WILL BE MARKED BRAINLYEST Ray OJ bisects Angle LOK. Measurement - 1

Answers

Answer 1
Answer:

Answer:

x = 14

Step-by-step explanation:

<LOJ = 3x

<KOJ = (2x + 12)°

<LOK = 82°

m<LOJ + m<KOJ = m<LOK (angle addition postulate)

3x + 2x + 12 = 82 (substitution)

5x + 12 = 82

5x = 82 - 12 (Subtraction property of equality)

5x = 70

x = 70/5 (division property of equality)

x = 14


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A vehicle designed to operate on a drag strip accelerates from zero to 30m/s while undergoing a straight line path displacement of 45m. What is the vehicle's acceleration if its value may b assumed to be constant? A.2.0m/s
B.5.0m/s
C.10m/s
D.15m/s​

Answers

The vehicle's acceleration if its value may b assumed to be constant is 10 m/s. Therefore, option C is the correct answer.

Given that, a vehicle designed to operate on a drag strip accelerates from zero to 30m/s while undergoing a straight line path displacement of 45m.

What is an acceleration?

Acceleration is the name we give to any process where the velocity changes. Since velocity is a speed and a direction, there are only two ways for you to accelerate: change your speed or change your direction-or change both.

Here, Δx = 45 m, v₀ = 0 m/s and v = 30 m/s

Using the formula v² = v₀² + 2aΔx

(30 m/s)² = (0 m/s)² + 2b (45 m)

b = 10 m/s

The vehicle's acceleration if its value may b assumed to be constant is 10 m/s. Therefore, option C is the correct answer.

Learn more about the acceleration here:

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Answer:

C. 10 m/s²

Step-by-step explanation:

Given:

Δx = 45 m

v₀ = 0 m/s

v = 30 m/s

Find: a

v² = v₀² + 2aΔx

(30 m/s)² = (0 m/s)² + 2a (45 m)

a = 10 m/s²

The measure of an inscribed circle of an angle is the measure of the intercepted arc

Answers

Answer:

(the statement does not appear to be true)

Step-by-step explanation:

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

The table shows data for orders of cheese. Multiply each number of pounds of cheese in the table below by its frequency.Drag the tiles to complete the table. The first one is done as an example. Each tile may be used once, more than once, or not at all.

123456


Pounds Frequency Multiplication
1
4
1
4

4
4
1
1

3
4
3
4

8
8
1
1
4
1
1
4

4
4

Answers

Answer:

Part One:

Pounds Frequency Multiplication

1/4           4                       1  

3/4           8                       6  

1 1/4        4                        5

1 1/2       2                        3

Part Two:

The total number of pounds of cheese ordered is 15 pounds

The following dot plot shows the number of cavities each of Dr. Vance's 63 patients had last month. Each dot represents a different patient. Which of the following is a typical number of cavities one patient had?

Answers

Answer:

Theansweris2                                                        

Step-by-step explanation:

There are lots of ways we can think about the typical number of cavities.

  • What was the most common number of cavities?
  • If we split the cavities evenly among all the patients, how many cavities would each patient have?
  • What would be the balance point of the data?
  • What is the middlemost number of cavities?  

The most patients had 0cavities.  

If we split the cavities evenly, each patient would have 2 or 3 cavities.  

If we put our dot plot on a balance scale, it would balance when the pivot was between 2 and 3 cavities.

The scale would tip if, for example, we put the pivot at 5 cavities.

There are 8 patients with 2 cavities each. About half of the rest of the patients have fewer than 2 cavities and about half have more than 2 cavities.

Of the choices, it is reasonable to say that a patient typically had about 2 cavities.

Thankyouforreading, staysafe!!!                                  -Written in 2/4/2021

Final answer:

The 'typical' number of cavities one patient had can be determined by finding the mode (most common number) in the data set, which should be represented in the dot plot. To do this, one would count the number of dots at each value on the dot plot. The value with the most dots would be the 'typical' number of cavities.

Explanation:

The question is asking for a 'typical' number of cavities one patient had out of Dr. Vance's 63 patients. In statistics, a typical, or 'common', value can be shown by calculating the mode, which is the number that appears most frequently in a data set.

Unfortunately, the dot plot is missing from the information provided. However, to find the mode (or typical value) using a dot plot, you would typically count how many dots are at each value on the plot. The value with the most dots (indicating the most patients with that number of cavities) is the mode. This would be the 'typical' number of cavities a patient of Dr. Vance had last month.

Let's create a hypothetical scenario. If your dot plot looked like this:

  • 0 cavities: 10 patients
  • 1 cavity: 15 patients
  • 2 cavities: 24 patients
  • 3 cavities: 8 patients
  • 4 cavities: 6 patients

The mode would be 2 cavities because 24 patients had this amount, more than any other amount. Therefore, the 'typical' number of cavities one patient had would be 2.

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What is the weight of a 43.11-carat diamond in grams and ounces?

Answers

1/5 is the answer :)

TEST QUESTION: Jane is making bows for the holidays. One bow requires 23 yard of ribbon. Jane has 13 yards of ribbon. What is the GREATEST number of projects Jane can complete with this ribbon? ​

Answers

Answer:

this makes no sense she can make any bows