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zysi [14]
2 years ago
10

3. Given: Circle Q<A = 35Find: m AB​

Mathematics
1 answer:
Agata [3.3K]2 years ago
5 0

Answer:  110°

<u>Step-by-step explanation:</u>

∠A ≅ ∠B  

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

     70°    + ∠Q = 180°

                 ∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

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Are the triangles shown below similar? Please explain why or why not.
erica [24]

Yes

Angles r congruent

5 0
2 years ago
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Use the converse of the Pythagorean theorem to decide whether ΔABC is a right triangle by answering the questions.
navik [9.2K]

Answer:

Pythagorean theorem: a^2 + b^2 = c^2

1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81 --> sqaure root to find the answer basically.

a = 9

- we put AD as a so AD = 9

final answer : 9

2. to find AC, simply add AD and DC.

9 + 16 = 25

final answer: AC = 25

3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.

-- let me know if you need any further explanations.

3 0
2 years ago
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Steve can jog 14 miles in 2 hours. At this rate, how many miles can he jog in 1/4 hour?
Assoli18 [71]

Answer:

1  3/4 miles in 1/4 hour.

Step-by-step explanation:

Write and solve an equation of ratios:

 x           (1/4) hr

--------- = ------------

14 mi       2 hr

Cross multiplying, we get 2x = (1/4)(14), or

                                              x = (1/4)(7), or x = 7/4

Steve can jog 7/4 miles in 1/4 hour.  That's 1  3/4 miles in 1/4 hour.

4 0
3 years ago
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Find the Volume for number 1 , 2 and 3
Usimov [2.4K]
For the first one I got : 
V = 165/8
 V = B*h
(B)11/2 * (h)15/4 
= 165/8


Pls correct me if im wrong!! :)
3 0
3 years ago
If you draw a card with a value of 4 or less from a standard deck of cards, I will pay you 165$ if not your pay me $45. (Aces ar
jekas [21]

Answer: The required expected value is $3.46.

Step-by-step explanation:

Since we have given that

Number of value of 4 or less are

2,3,4

So, there are 12 in numbers.

So, probability would be

\dfrac{12}{52}

Since Aces are considered as the highest card in the deck.

So, remaining probability would be

\dfrac{40}{12}

Amount paid or value of 4 or less = $165

Amount not paid for other case = $45

So, the expected value would be

\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46

Hence, the required expected value is $3.46.

7 0
3 years ago
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