Answer:
if a polygon is square,then it is also a rectangle is correct
Step-by-step explanation:
1)if a polygon has 4 right angles,then it is a square is wrong since in the statement a square has all its angles as right angles but it need not imply that it is a square as it could also be a rectangle
2) polygon need not have four right angles eg:rhombous with angles 60°,60°,120°,120° is also a polygon
3)every polygon need not be a rectangle as it could be square
4)if a polygon is square, then all its angles are right angles and if all its angles are right then it is rectangle.
hence option 4 is true.
The converse of the conditional statement is that “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” and the inverse of the conditional statement is “If not P then not Q
<h3>How to illustrate the information?</h3>
Conditional: If C, then D. (starting statement)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Both the contrapositive and the inverse are opposites of the conditional as both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances.
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Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
The total is 191.008 centimeters.
