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saw5 [17]
3 years ago
12

ABC ~ XYZ. The ratio of their areas is 25/16. If XY has a length of 40, what is the length of AB?

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0

Answer:

62.5

Step-by-step explanation:

From the question, we ware told that triangle ABC is similar to XYZ

Hence Aabc/Axyz = AB/XY

Substitute the given values

25/16 = AB/40

Cross multiply

16AB = 40 * 25

16AB = 1000

AB = 62.5

<em>Hence the length of AB is 62.5</em>

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4 years ago
Find a number in the sequence<br><br> 1) 100, 400, 610, ?, 652<br><br> 2) 342, 128, ?, 26
dsp73

Answer:

1.  460

2.  216

Step-by-step explanation:

1.

From the series ,

100 , 400 , 610 , ? , 652

Writing the the digits in the revere order , i.e

001 , 004 , 016 , ? , 256

Now,

Now , getting the number in the form of the multiple of 4 as -

1  ,   1 * 4 = 4  ,   4 * 4 = 16 ,  ?  , 64 * 4 = 4  

Hence , the value for ?  =  16 * 4 =  64 .

Again , reversing 64 to get the missing number of the series -

460 .

Hence ,

The value for ? is 460 .

2.

From the series ,

342 , 128 , ? , 26

Now, multiplying the first digit with the second digit and merging it to the product of the second and third digit -

3 * 4 and  4 * 2 , 1 * 2 and 2 * 8 , ?

128 , 216 , ?

Hence ,

The value for question mark = 1 * 2 and  1 * 6 = 216

Hence ,

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