Draw the triangle and then use Pythagoras' theorem
distance =

= 19.70 (2dp)
Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
Answer: 
Step-by-step explanation:
total sides = 6
p (rolling a 1) = 
p (rolling a 2) = 
Note:
or - add
and - multiply
∴ 
∴ 
hence, p (rolling a 1 or 2) = 
Answer:
units
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side.
The length of the sides of a square is given by the expression 
To find the perimeter, we multiply this expression by 4.

We expand to obtain:

This simplifies to:

Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF


and


Thus

∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .