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Tamiku [17]
2 years ago
11

Heya! ツ

Mathematics
2 answers:
fiasKO [112]2 years ago
5 0

Answer:

See Below.

Step-by-step explanation:

In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.

We want to prove that I) AE = CE and II) BE = DE

First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.

Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}

Arc AB is the sum of Arcs AD and DB:

\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}

Likewise, Arc CD is the sum of Arcs CB and DB. So:

\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}

Since Arc AB ≅ Arc CD:

\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}

Solve:

\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}

The converse tells us that congruent arcs have congruent chords. Thus:

AD\cong CB

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

\angle ADC\cong \angle CBA

Additionally:

\angle AED\cong \angle CEB

Since they are vertical angles.

Thus:

\Delta AED\cong \Delta CEB

By AAS.

Then by CPCTC:

AE\cong CE\text{ and } BE\cong DE

stepladder [879]2 years ago
3 0

Answer:

this is your answer. look it once.

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raketka [301]

The question you are asking is not that really hard. In fact it is really easy.

I will give you my examples for some question.

1. (example) The probability of the two heads shown will be more than the two tails shown\

2. Since I hit 17 / 100 (17%) for the two heads and I hit 11 / 100 (11%) for the two tails, then my (example) theory was correct since I stated that there will be more probability showing two heads than on two tails.

Basically at questions 3 & 4 (and also 5 & 6), it is the same as questions 1 & 2.

In question 1, 3, and 5, you need to state what YOU think will happen before doing the 100 coin flip.

Then in question 2, 4, and 6, you need to sate IF YOUR THEORY WAS CORRECT OR WRONG using the results you have. It does not matter if you are wrong.

I will give you my example for 1 and 2 question.

1. (example) The probability of the two heads shown will be more than the two tails shown

2. Since I hit 17 / 100 (17%) for the two heads and I hit 11 / 100 (11%) for the two tails, then my (example) theory was correct since I stated that there will be more probability showing two heads than on two tails.

Basically at questions 3 & 4 (and also 5 & 6), it is the same as questions 1 & 2.

For question number 7, the answer is because my theory is just a guess before the outcome.

You can vote how good my answer is, I just hoped I helped you clarify your misunderstandings.

5 0
3 years ago
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2 years ago
Help me with this pleaae
marissa [1.9K]

Answer:

(D) 30pi inches

Step-by-step explanation:

First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.

volume = \pi r^2 h

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We set the formula equal to the volume and replace h with 30 in.

\pi r^2 h = 6750 \pi~in.^3

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Divide both sides by 30pi in.

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Take the square root of each side.

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The radius of the base is 15 in.

Now we use the radius of the base and the formula of the circumference of a circle to find the answer.

circumference = 2 \pi r

circumference = 2 \pi \times 15~in.

circumference = 30 \pi ~in.

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