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4 years ago

Which lines are parallel if m4 = m5? Justify your answer.

1 answer:

7 0

Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.

When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, we can conclude that r and s are parallel.

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Three coins are placed in a bag. Each coin is labeled "1", "2", or "3". A coin is drawn from the bag, recorded, and then placed

Tpy6a [65]

Answer:

1/3 or 33.33%

Step-by-step explanation:

Each draw is an independent event, and it doesn't happen what happened before, since the coin is placed back in the bag, recreating the same scenario.

There are 3 coins in the bag... so drawing out the coin labeled '1' is one possibility out of three possible outcomes.

1/3 or 33.33%

7 0

3 years ago

1 gal3 qt+2qt3pt I don’t know how to do this

kaheart [24]

Hello it would be 2.62500 US gallons hope it helped

6 0

3 years ago

You read online that the probability of being dealt four‑of‑a‑kind in a five‑card poker hand is 1 / 4165. Explain carefully what

Lapatulllka [165]

Answer:

There is about 4,164/4,165 chances of not getting getting a four of a kind. So, it is extremely unlikely or even borderline impossible in that situation to get a four of a kind.

But in the long run, it can be increased only if you keep drawing. So, the awnser would have to be. D

Step-by-step explanation:

A. It does mean that if you are dealt 4165 five‑card poker hands, one will be four‑of‑a‑kind.

B. It does not mean that all will be four‑of‑a‑kind. The probability is actually saying that only on the 4165 the poker hand will you get a four‑of‑a‑kind, not just on any of the 4165 poker hands.

C. The probability is actually saying that in the long run, with a large number of five‑card poker hands, the fraction in which you will be dealt a four‑of‑a‑kind is 1 / 4165.

D. The chance you will be dealt four‑of‑a‑kind is 1 / 4165 only on the first hand. This chance will then increase with each new hand you are dealt until you eventually win

6 0

3 years ago

2) Angelina is deciding which bank would give her the

Nutka1998 [239]

Answer:

3.33%

Step-by-step explanation:

Given that :

Final amount A= 320

Principal P = 300

Time (t) = 2 years

Yes, the information is enough to obtain the interest rate :

Using the relation :

A = P(1 + rt)

r = interest rate

320 = 300(1 + r*2)

320 = 300(1 + 2r)

320/300 = 1 + 2r

1.0666666 = 1 + 2r

1.0666666 - 1 = 2r

0.0666666 = 2r

r = 0.0666666 / 2

r = 0.0333333

(0.0333333) * 100% = 3.33%

7 0

3 years ago

What is the area of the triangle shown below? 5 5 8 units2

natima [27]

Answer:

your answer is 12 units

Step-by-step explanation:

I hope it helps

3 0

3 years ago