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Alexxandr [17]
3 years ago
6

Which value of x would make NO || KJ? 1 6 8 10

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

8

Step-by-step explanation:

bearhunter [10]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

If NO is parallel to KJ then the sides LK and LJ are in proportion, that is

\frac{KN}{NL} = \frac{JO}{OL}, substitute values

\frac{x+2}{x-3} = \frac{x}{x-4} (cross- multiply )

x(x - 3) = (x + 2)(x - 4) ← expand factors on both sides

x² - 3x = x² - 2x - 8 ( subtract x² - 2x from both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8

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6 0
3 years ago
Y = x + 2 and y = 2x + 3
Reil [10]
Im confused as to what you are asking!
8 0
2 years ago
Solve 5x(m+n) using the distributive property
Genrish500 [490]

Answer: 5xm+5xn

Step-by-step explanation:

For this exercise it is necessary to remember the following:

1) The Distributive Property states the following:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2) The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Knowing this, and having the following expression given in the exercise:

5x(m+n)

You can apply the Distributive property multiplying m and n, which are inside the parentheses, by 5x.

So, you get the following result:

=(5x)(m)+(5x)(n)=5xm+5xn

4 0
3 years ago
A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8,
Inessa [10]

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

7 0
3 years ago
A group of 3030 students from your school is part of the audience for a TV game show. The total number of people in the audience
nlexa [21]

Answer:

Step-by-step explanation:

In general, probably can be found as n(E)/n(S), where n(E) is the number of favorable outcomes, and n(S) is the number of total outcomes.

 

n(S) is the number of ways any 9 students can by picked from the audience, which is 9/140.

 

n(E) is the probability of picking four students from our school and five students from another school. This is (4/30)*(5/110) = 9/3300 =3/1100

 

n(E)/n(S) = (3/1100) / (9/140) = (3/1100) * (140/9) = 14/330

4 0
3 years ago
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