Explanation

Nylon actually has excellent abrasion resistance, not poor.

It is also highly resilient, resistant to insects, fungi, and many chemicals.

Explanation

0 is called additive identity because a + 0 = a for any number 'a'.

It does not change the value of a number when added.

Explanation

To convert (10101)₂ to decimal: = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

= 16 + 0 + 4 + 0 + 1

= 21

Explanation

(n - 2)180° formula calculates the sum of all internal angles of an n-sided polygon.

It works because any polygon can be divided into (n - 2) triangles.

Explanation

A group of wolves is called a pack.

"Herd" is used for cattle or deer.

"Pride" is for lions.

Explanation

The cells in the nasal chamber, specifically the olfactory cells, detect smell.

These sensory cells send signals to the brain to process different odors.

Explanation

The area of a trapezium is given by:

Area = (1/2) × (sum of bases) × altitude

Given:

Area = 153 m^2

Altitude = 9 m

One base = 13 m

Let's denote the other base as 'b'. Then:

153 = (1/2) × (13 + b) × 9

Multiply both sides by 2:

306 = (13 + b) × 9

Divide both sides by 9:

34 = 13 + b

Subtract 13 from both sides:

b = 21

Explanation

When rotating a point (x, y) 90° counterclockwise, the new coordinates are (-y, x).

For P(-5, -3), the new coordinates P' will be (3, -5).

Explanation

Given:

x + 1/x = 10

Squaring both sides:

(x + 1/x)^2 = 10^2

x^2 + 2(x)(1/x) + 1/x^2 = 100

x^2 + 2 + 1/x^2 = 100

Subtract 2 from both sides:

x^2 + 1/x^2 = 98

Explanation

A number divisible by 9 but not by 18 must be divisible by 9 but not by 2 (since 18 is a multiple of 2 and 9).

27 is divisible by 9 but not by 18, as 27 ÷ 9 = 3, but 27 ÷ 18 does not result in an integer.