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Alik [6]
3 years ago
8

AD = 3x + 4 and CD = x + 6, what is the value of x?

Mathematics
1 answer:
lesantik [10]3 years ago
5 0
Your answer would be x = 1.

The rules for a kite shape is that two pairs are of equal length, which means we can say that AD = CD and thus form an equation:

3x + 4 = x + 6
- x
2x + 4 = 6
- 4
2x = 2
÷ 2
x = 1

I hope this helps!
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Suppose that 10 sophomores, 3 juniors, and 10 seniors are candidates for a prestigious mathematics award of which three will be
faltersainse [42]

Answer:

1771 possible ways

Step-by-step explanation:

In this case, we need to know first how many candidates are in total:

10 + 3 + 10 = 23 candidates in total.

Now, we need to choose 3 of them to receive an award. In this case, we have several scenarios, but as it's an award we can also assume that the order in which the candidates are chosen do not matter, so, the formula to use is the following:

C = m! / n! (m - n)!

Where m is the total candidates and n, is the number of candidates to be chosen. Replacing this data we have:

C = 23! / 3! (23 - 3)!

C = 2.59x10^22 / 6(2.43x10^18)

C = 1771

So we have 1771 ways of choose the candidates.

7 0
2 years ago
A tournament is being run between two teams, A and B. This is a 2- tournament meaning that the first team to win 2 games is the
natta225 [31]

Answer:

Step-by-step explanation:

For first game PA = 1/3

For second game PA = 1/3 ( If A is not lost in first game )

 = 2/5 (If A is lost in first game )

For conclusion of game in three matches :

If A wins , the probability is

PA , PB , PA  = 1/3 X 2/3 X 3/5 = 6/45

PB , PA , PA = 2/3 X 3/5 X 1/3 = 6/45

If B wins

PA, PB, PB = 1/3 X 2/3 X 2/5 =  4/ 45

PB, PA , PB = 2/3 X 3/5 X 2/3 = 4 / 15

Total probability of conclusion of game in 3 matches

= 6/45 +6/45 + 4/45 +4/15 = 28/45

b )

For the game concluding in 2 matches , the probability are as follows

PA,PA = 1/3 X 1/3 = 1/9

PBPB = 2/3 X 2/5 = 4 / 15

Total probability

= 1/9 + 4/15 = 17/45

So PA = 1/9 / 17/45

= 5/17

5 0
3 years ago
1/3 of 7 1/6 is what number
serg [7]
I believe its approx. 2.365 because if you do 

33/100 * x/43/6 you get 100x = 236.5 which simplifies to 2.365


8 0
3 years ago
Read 2 more answers
Pat shows that 16 1/2= the square root of 16. What is one possible way pat could have shown this correctly?
kifflom [539]
<h3>Answer: Choice C</h3>

The base 16 is the same as 4*4.

From there, the rule (a*b)^c = a^c*b^c is used to get (4*4)^{1/2} = 4^{1/2}*4^{1/2}

Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is a^b*a^c = a^{b+c} which only works if the bases are both the same.

6 0
3 years ago
Find the slope of the line (12,-18), (11,12)
telo118 [61]

Answer:

-30

Step-by-step explanation:

To find slope, subtract two y's and then subtract the x's in the same order.

<u>12-(-18)</u>=<u>30</u>=-30

11-12       -1

You could also switch the order like this...

<u>-18-12</u>=<u>-30</u>=-30

12-11      1

As you can see, both of the ways of solving for slope resulted in -30.

Hope this helps!! Have a great day :3

4 0
2 years ago
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