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stich3 [128]
3 years ago
5

Part A: An angle is two collinear rays with a common endpoint. Find an example that contradicts this definition. How would you c

hange the definition to make it more accurate? (5 points) Part B: Give an example of an undefined term and how it pertains to angles. (5 points)
Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Angles are formed by intersection of non-collinear lines, rays and planes.

<u>Part A</u>

<u>1. Contradictory Example</u>

A contradictory example to the given definition is that:

When the rays are collinear; the rays do not form an angle, but they form a line

<u>2. A more accurate definition</u>

A more accurate definition is that:

An angle is formed at the intersection of two non-collinear rays that have the same endpoint

<u>Part B</u>

<u>Example of an undefined term</u>

Undefined terms do not have a formal definition; an example is the plane.

A plane pertains to angles because it determines the parameter to be measured.

Read more about angles and undefined terms at:

brainly.com/question/1402901

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How many 3 letter codes are possible using a-j without repeats?
Dennis_Churaev [7]
There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.

We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3

Overall, there are 10*9*8 = 90*8 = 720 different permutations

Answer: 720

Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
5 0
3 years ago
Simplify 2a^2b^3 (4a^2 + 3ab^2 - ab) =?
stellarik [79]

The correct answer is D.D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4

You can tell this by the lead term alone. When you mutliply the term outside to the lead term, D is the only one that has that term.

2a^2b^3*4a^2 = 8a^4b^3

D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4

7 0
3 years ago
Fred purchased a jacket for $20 and 5 T-shirts. Each T-shirt cost the same amount. The total cost was $85. How much did each T-s
snow_tiger [21]

Answer:

Each t-shirt  cost 13 dollars.

Step-by-step explanation:

Since the jacket was 20 bucks, we can set that aside:

85-20=65

Now that we've set that aside, there are five t-shirts. If they all cost the same, that means we can divide!

65/5=13

How to check?

Use inverse operations: 13*5=65

Re-add the 20 bucks from the jacket, and the bill is complete again! Use inverse operations: 13*5=65

Each shirt costs $13.

4 0
3 years ago
Write a function rule for the input output table input x -2, -1, 0, 1 output y 13, 14, 15, 16​
mojhsa [17]

Answer:

  y = x+15

Step-by-step explanation:

x-values increase by 1, as do y-values. The ratio of increases is Δy/Δx = 1/1 = 1. This is the slope (m) that is needed in the function rule.

The y-value is 15 for an x-value of 0, so we can use 15 as the y-intercept (b) in the function rule.

In slope-intercept form, the function rule is ...

  y = mx +b

  y = x +15

4 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B5%7D%7B27%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \frac{5}{27}
Paraphin [41]

Answer:

\sqrt\frac{15}{9}

Step-by-step explanation:

5 0
3 years ago
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