Answer:
120
Step-by-step explanation:
1. Find the value of x.
The angles in a triangle have a sum of 180 degrees. To find x, add up the other two inside angles and subtract the sum from 180.
87 + 33 = 120
180 - 120 = 60 degrees.
x = 60
2. Angle y is supplementary to angle x, meaning that the sum of the two angles equals 180.
180 - 60 = 120
y = 120
The starting length of the finger nails is 12mm.
Answer:
Area of regular pentagon is 238.95 square inches.
Step-by-step explanation:
Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.
we know a regular polygon divides into 5 congruent triangles.
Side of pentagon i.e base of one triangle is 11.8 inches.
Also, distance from center to middle of side which is height of triangle is 8.1 inches.
Area of 1 triangle= 
= 
= 47.79 sq inches.
Area of regular pentagon=area of 5 congruent triangles=
=238.95 sq inches.
23 is the answer 322 divided by 14 is 23