Question

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Answer 1

Answer:

Q.11) 106

Q.12) 0.025

Q.13) Mode is 2

Q.14) n = 14

Q.15) Sum of angles = 180°

Step-by-step explanation:

Q.11

Let the number be x

Thus, according to the Question

(-53) + x = 53

x = 53 - (-53)

x = 53 + 53

x = 106

Q.12

We know that,

a ÷ b = a × (1/b)

So,

0.25 ÷ 10 = 0.25 × (1/10)

also,

0.25 = 25/100

Thus,

(25/100) × 1/10

= 25/1000

= 0.025

Q.13

Mode is the number which is repeating the most.

Here, if we rearrange it we get,

1, 1, 1, 2, 2, 2, 2, 3, 4, 4

Here,

1 is repeating 3 times

2 is repeating 4 times

3 comes only once

4 is repeating 2 times

∴ 2 is the mode of the data, since it repeating the most.

Q.14

Given,

n + 5 = 19

n = 19 - 5

∴ n = 14

Q.15

We know that,

Two angles are said to be supplementary, only if they add upto 180°.

∴ Sum of the angles = 180°

Hope it helped and believing you understood it........All the best