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ddd [48]
3 years ago
11

Need help with this slide about proofs explanation would be nice aswell.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

1. AB ~= DF

2. Definition of Congruent

3. Reflexive Property of Congruency

4 BD=BD

6. AB+BD=AD; DF+BD=BF

7. Substitution Property of Equality

8. Definition of Congruent

Step-by-step explanation:

1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).

2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.

3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.

4. Remember if something is congruent then it is equal.

6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.

7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.

8. If two things are congruent then they are equal by definition of congruency.

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6 0
3 years ago
Please help its due soon!
notka56 [123]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Select all pairs of numbers that have a least common multiple of 24.
Vlada [557]
3 and 8
6 and 8
8 and 12
5 0
3 years ago
Read 2 more answers
What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.
kotykmax [81]

Answer:

30

Step-by-step explanation:

\sin^{-1}(\theta) is going to output a number in between \frac{-\pi}{2} and \frac{\pi}{2}.

Luckily you are looking for \theta in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering \sin^{-1}(\frac{1}{2}) in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

4 0
3 years ago
Alex swims at an average speed of 45m/min. How far does he swim in 1 minute and 24 seconds?
aksik [14]

Answer:

63 m        

Step-by-step explanation:

We are given the following in the question:

Average speed of swimming = 45 m/min

Time = 1 minute 24 seconds

Converting time into minutes:

=1 + \dfrac{\text{seconds}}{60}\\\\=1 + \dfrac{24}{60}\\\\=1.4\text{ minutes}

Formula:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

Putting values, we get.

45 = \dfrac{\text{Distance}}{1.4}\\\\\text{Distance} = 45\times 1.4 = 63\text{ m}

Thus, Alex swims for 63 m in 1 minute and 24 seconds.

6 0
3 years ago
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