The sum of all the angles made by a straight line is 180°. Then the value of x is 61°.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The angles are shown on the diagram.
The angles are 52° and 67°. And let the other angle be x.
We know that the sum of all the angles made by a straight line is 180°.
Then we have
x + 52° + 67° = 180°
On simplifying, we have the value of x.
x = 61°
Thus, the value of x is 61°.
More about the angles link is given below.
brainly.com/question/15767203
Step-by-step explanation:
The vertex form of a parabola can be written as
where (h, k) are the coordinates of the parabola's vertex. The vertices of the functions are as follows:
a) (3, 5)
b) (-7, 3)
c) (4, 0)
d) (0, -1)
e) (-1, -5)
f) (-1, -5)
Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, -
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Answer:
Billy is a fly enthusiast! He has a huge glass container filled with 506 flies! One day when Billy went to feed the flies, he accidentally left the screw opened for too long, and 8 flies escaped! How many flies are left in the tank?