Correct Answer: B. 13

Explanation

An exterior angle of a n-sided regular polygon = \(\frac{360}{n}\)

For (n - 1) sided regular polygon = \(\frac{360}{n - 1}\)

For (n + 2) sided regular polygon = \(\frac{360}{n + 1}\)

⇒ \(\frac{360}{n - 1} - \frac{360}{n + 2}\) = 6 9Given)

⇒ \(\frac{360(n + 2) - 360(n - 1)}{(n - 1)(n + 2)}\)

⇒ \(\frac{360n + 720 - 360n + 360}{(n - 1)(n + 2)}\)

⇒ \(\frac{1080}{(n - 1)(n + 2)} = \frac{6}{1}\)

⇒ 1080 = 6 (n - 1)(n + 2)

⇒ 180 = (n - 1)(n + 2)

⇒ 180 = n\(^2\)+ 2n - n - 2

⇒ 180 = n\(^2\) + n - 2

⇒ n\(^2\)b+ n - 2 - 180 = 0

⇒ n\(^2\) + n - 182 = 0

⇒ n\(^2\) + 14n - 13n - 182 = 0

⇒ n (n + 14) - 13 (n + 14) = 0

⇒ (n - 13) (n + 14) = 0

⇒ n - 13 = 0 or n + 14 = 0

⇒ n = 13 or n = -14

∴ n = 13 (We can't have a negative number of side)

Correct Answer: D. Distance

Correct Answer: A. directly

Correct Answer: B. drenching

Explanation

From ΔOKB

sin 36° = \(\frac{|KB|}{24.5}\)

|KB| = 0.5878 x 24.5

=14.4011m

Or

Length of arc = \(\frac{72}{360} * 2 *{\frac{22}{7}} * 24.7\)

=30.8m

Perimeter = 2(14.4011) + 30.8

= 59.6022

= 59.6m

Correct Answer: A. United Nations General Assembly

Correct Answer: A. experiencing a high rate of emigration

Explanation

Emigration; is the act of leaving one's own country to settle permanently in another; moving abroad. A population decline (or depopulation) in humans is a reduction in a human population caused by events such as long-term demographic trends, as in sub-replacement fertility, urban decay, white flight, or rural flight, or due to violence, disease, or other catastrophes.

Explanation

\(\frac{3x^2 + 3x - 2}{(x - 1)(x + 1)}\) = P + \(\frac{Q}{x - 1} + \frac{R}{x - 1}\)

Long division

\(\frac{6x^{-2}}{(x - 1)(x + 1)}\)

= \(\frac{Q}{x - 1} + \frac{R}{x + 1}\)

6x - 2 = Q (x + 1) + R(x - 1)

Let x = -1

6(-1) - 2 = Q(-1 + 1) + R (-1 - 1)

-6 - 2 = -2R

\(\frac{-8}{-2} = \frac{-2R}{-2}\)

R = 4

From 6x - 2 = Q(x - 1) + R(x - 1)

Let x = 1

6(1) - 2 = Q(1 + 1) + R(1 - 1)

6 - 2 = 2Q

\(\frac{4}{2} = \frac{2Q}{2}\)

= Q = 2

Explanation

(a)Nika? is an Arabic word meaning “Marriage”,literally, it connotes tying or knotting,It is a legal contract between a man and a woman to be husband and wife.

(b)*Mothers.

*Daughters

*Sisters

*Paternal aunts

*Maternal aunts.

*Brother’s daughters.

*Sister’s daughters

*Grandmothers.

*Foster mothers

*Foster sisters

*Mothers of your wives

*Step daughters born of wives

*Wives of your sons

*Two sisters together.

*Already married women.

*Granddaughters.

*Father’s wives.

*Grandfather’s wives.

Correct Answer: B. rose