*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon:
square units
(22)
Similar to (21)
Area =
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:


Hence, area of the hexagon will be:
square units
(24)
Given is the inradius of an equilateral triangle.

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle =
square units
Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.
Answer: The Correct Answer is A! I'm not very good at explaining but I already took the test, You can go look at the other questions for an explanation. :)
- Hope this Helps! ♥️
Answer:
Step-by-step explanation:
11) Profit = Selling price - purchase price - other expenses

12) Profit = Selling price - purchase price - other expenses
(after rounding off)
13) Annual interest on bond
=INterest rate on face value of bond for 1 year

14)Cost of bond
= quoted value (rate)
=3500(80.5)
=2817.50
15) Cost of bond
= quoted value (rate)
=4250(83.5)
=3548.75
Midpiont=(_2+3\2), (4+_1/2)
=2/2,6/2
=1,3