Which number is written in scientific notation? a.4.5*10^-3 b.14.5*10^2 c.0.78*10^-6 d.5.7*4^8

Option A is correct, i.e. 4.5*10^-3

Step-by-step explanation:

To write scientific notations:-

1. The first digit should be non-zero.

2. The decimal representation should be a number greater than 1 and less than 10.

3. The exponent representation should be in form of 10's power.

Checking given options:-

B. 14.5*10^2

Given option B has decimal representation greater than 10, so it is NOT correct.

C. 0.78*10^-6

Given option C has decimal representation less than 1, so it is NOT correct.

D. 5.7*4^8

Given option D has exponent representation NOT in form of 10's power, so it is NOT correct.

Checking option A:- 4.5*10^-3

Given option A has decimal representation between 1 and 10. Also it has exponent representation in form of 10's power.

Hence, option A is correct, i.e. 4.5*10^-3

B) Yes, the congruence can be proved using the ASA Postulate.

Step-by-step explanation:

Congruency: Two triangles are said to be congruent if they have same shape and size.  If two triangles are congruent then their corresponding angles and sides will be same. There are 3 ways to see if the two triangles:

1. ASA (Angle-side-angle): Here the two corresponding angle are same and the the included side is also same.

2. SAS (Side-angle-side): Two corresponding sides and the angle between them are same.

3. SSS (Side-side-side) : When the corresponding sides are equal.

As can be clearly seen from the photograph. these two figures are congruent following the above mentioned ASA postulates.