A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
2 answers:
Answer:
Option (3). 72°
Step-by-step explanation:
Angle of rotational symmetry = Central angle of a polygon
That means when we rotate the regular polygon by a central angle, polygon overlaps itself.
Central angle of a polygon with n sides =
Where n = number of sides of the polygon
Therefore, central angle of a polygon with 15 sides =
= 24°
Central angle tells us that after every 24° of rotation, polygon overlaps itself.
Angle of rotational symmetry may be 48°, 72°, 96°.....
Therefore, Option (3) is the possible angle of rotational symmetry.
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Answer:
Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges
Step-by-step explanation:
Cost of one pound of Apple = $2x
Cost of one pound of Grapes = $(6x-5)
Cost of one pound of Oranges = $(x+2)
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
It can be written as:
We need to find how much the shopper spend on each fruit.
First we need to find value of x by solving equation
Solving:
The value of x is: x=1.5
Now finding cost of one pound each fruit by putting x=1.5
Cost of one pound of Apple = $2x = 2(1.5) = $3
Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4
Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5
So,
Cost of one pound of Apple = $3
Cost of one pound of Grapes = $4
Cost of one pound of Oranges = $3.5
So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges
Answer:
Step-by-step explanation:
You know that and have to find
Use the main properties of exponents:
1.
2.
Note that
then
Now
Since then