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.
The answer is 1/2 because 1 = 2/2 3/2 minus 2/2 = 1/2
You can't convert miles into gallons those are two different units of measurement.
Answer:
Look below.
Step-by-step explanation:
39.
10+ = 149 times x
3 - 9 = 143 times x
40.
2(w times 1.5 + w)
Answer:
A. D and E are similar but not congruent.
Step by step explanation :
The side lengths of D are 3 units and 1 unit. The side lengths of E are 2 units and 6 units. The sides are proportional, but are not congruent; this means that the quadrilaterals are similar but not congruent. Choice A is true and choice C is false.
The side lengths of E are 2 units and 6 units. The side lengths of F are 3 units and 1 unit. The sides are proportional, but are not congruent; this means that the quadrilaterals are similar but not congruent. Choice B is false.
The side lengths of D are 3 units and 1 unit. The side lengths of F are 3 units and 1 unit. The sides are congruent; this means that the quadrilaterals are congruent. Choice D is false.
