Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
Answer:
Perimeter = 21.58 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the quadrilateral LEAP = PL + AE + EL + LP
= 4.47 + 4.47 + 6.32 + 6.32
= 21.58 units
[If the distances between two point are not given, use the formula to calculate the distance between two points 
and 
Distance = 
]
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.
Answer: 461.60 is the volume of liquid the tank can hold.
Step-by-step explanation:
We were given;
Height H = 9 ft
Diameter D = 14 ft
Pie π = 3.14
We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone
So
V = 1/3 * πr2h
First we need to find our radius r
Radius = 1/2 of diameter = 14/2 = 7
So using the formula
V = 1/3 * πr2h
V = 1/3 (3.14 * 7² * 9)
V = (3.14 * 49 * 9)/3
V = 1384.74 / 3
V = 461.58 = 461.60 (nearest ten)
The opposite angle is also 80°. since consecutive angles must total 180, the other 2 angles are 100 each. 100+100+80+80=360, as needed for a parallelogram
