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3 years ago

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Which can be used to prove that lines are parallel? 1.Vertical Angle Theorem 2.Alternate Interior Angles Theorem 3.Converse of C

orresponding Angles Postulate 4.Converse of Same-Side Interior Angles Theorem

1 answer:

Novay_Z [31]3 years ago

7 0

Answer:

4. Converse of Corresponding Angles Postulate

Step-by-step explanation:

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Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59

andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

$180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree$

So, we will use "Sine formula ":

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet$

Similarly,

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet$

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0

3 years ago

Read 2 more answers

The equation 1.5r+15=2.25r1.5r+15=2.25r represents the number rr of movies you must rent to spend the same amount at each movie

Lelu [443]

1.5r+15=2.25r
Combine like terms: 1.5r+15-1.5r=2.25r-1.5r
15=0.75r
Get the unknown alone: 15/.75=.75/.75r
20=r or r=20 :)

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2 years ago

What are the factors of x^3-2x^2+x+2

Delicious77 [7]

Ummm I think 4 hope this helps

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2 years ago

jenny is comparing the cost of two packages of socks. one package has 8 pairs for $12. Another package has 3 for $6. Are the rat

Ainat [17]

In order to solve this we need to make on part of both statements equal.

Since 12 is divisible by 6 lets do that.

Multiply everything in the second package by 2.

It then becomes 6 pairs for $12.

So now have have 6 or 8 pairs for $12.

You are getting a different amount for the same price therefore they are not proportional.

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3 years ago

Five friedns share three pizzas that cost 12.75 how much do each of them pay

Aliun [14]

They each would pay 2.55

12.75 divided by 5 = 2.55

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3 years ago