Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
2x=3x-29
-x=-29
Divide by negative one
x=29.
Answer:
It will take Shanti 150 square inches of paper to wrap the gifts
Step-by-step explanation:
Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.
How much paper did it take to cover the gift?
Solution
To solve this, you will find the surface area of a cube
Surface area of a cube = 6a^2
Where,
a=side length of the cube
a= 5 in
a^2=a × a
=5 × 5
=25 in^2
a^2=25 in^2
Surface area of a cube = 6a^2
=6 × 25 in^2
=150 in^2
It will take Shanti 150 square inches of paper to wrap the gifts
