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Fofino [41]
3 years ago
7

The measure of <1 = 20x + 21 and the measure of <2 = 30x - 29.

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

Answer:

Both equal 121 degrees

Step-by-step explanation:

Vertical angles are equal, and  and 2 are indeed vertical angles.  They are the "top" and "bottom" of the x formed.  So you can use this.

angle 1 = angle 2

20x + 21 = 30x - 29

50 = 10x

5 = x

So just plug this in.

20x + 21

20(5) + 21

121

30x - 29

30(5) - 29

121

So both are 121.

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Andreyy89

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

<h3>Answer:  0.26</h3>

===============================================

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

<h3>Answer:  0.3</h3>

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Part (c)

<h3>Answer: Choice A) </h3>

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

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2 years ago
a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone
ipn [44]

<u>Given</u>:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

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<u>Height of the cone:</u>

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3 years ago
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Answer: 11) 1/3

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Step-by-step explanation:

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3 years ago
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How do you work this out?
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Here's an outline of what to do:

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