A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
Answer:
A
Step-by-step explanation:
Edge 2021
Answer:
1 7/8
Step-by-step explanation:
I think you need to times it like 2 1/2 x 3/4, first you make 2 1/2 into 5/2 then times it like this 5/2 x 3/4. the answer is 1 7/8
Answer:
exponent of x is 33
exponent of y is 0
Step-by-step explanation:
you need to combine all powers (exponents) of x, and all exponents of y separately.
remember : x to the power of a divided by x to the power of b is x to the power of (a-b).
when multiplying, the "-" turns into a "+".
so, we have actually for x the exponent calculation :
8 - 14 -(-39) = 8 - 14 + 39 = 33
so, x³³ remains.
and for the y exponents
-26 -(-5) -(-21) = -26 + 5 + 21 = 0
so, all the y expressions eliminate each other and y⁰ remains.
