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find the missing term of the following proportion 2:9-N:8​

Sagot :

Answer:

1. n= 30

2. n= 72

3. n= 18

4. n= 84

5. n= 9

Step-by-step explanation:

1. 3 : 5 = n : 50

3/5 = n/50

Multiplying both sides by 50 cancels on the right

50 x (3/5) = (n/50) x 50

50 x (3/5) = n

Then solving for n

n= 50 x (3/5)

n= 30

Therefore

3 : 5 = 30 : 50

2). 64 : n = 8 : 9

n/64 = 9/8

Multiplying both sides by 64

cancels on the left

64 x (n/64) = (9/8) x 64

n = (9/8) x 64

Then solving for n

n = 81 x (2/9)

n = 18

Therefore

2 : 9 = 18 : 81

4). 5 : 12 = 35 : n

12/5 = n/35

Multiplying both sides by 35

cancels on the right

35 x (12/5) = (n/35) x 35

35 x (12/5) = n

Then solving for n

n = 35 x (12/5)

n = 84

Therefore

5 : 12 = 35 : 84

5). 2 : n = 4 : 18

n/2 = 18/4

Multiplying both sides by 2

cancels on the left

2 x (n/2) = (18/4) x 2

n = (18/4) x 2

Then solving for n

n = 2 x (18/4)

n = 9

Therefore

2 : 9 = 4 : 18

To find the missing term of the given ratio to proportion is to connect the means and extremes:
2:9=N:9 (2=9)-extremes (9:N)-means
Multiply the ratio who has a pair in this situation, we need to multiply 2 x 9 because they have both pair.
2x9 = 18
Then divide it to the ratio which who don't have a pair, in this situation we have 9.
18 divided by 9= 2

So the answer in the N is 2. Now we have the proportion betwen this given ratio.