Answer:
C = 80
Step-by-step explanation:
A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.
It has 1 interesting property that should concern you: <B + <D = 180 degrees.
3x - 59 + 2x - 1 = 180 Combine like terms
5x - 60 = 180 Add 60 to both sides.
5x = 180 + 60
5x = 240
x = 240/5
x = 48
Now go to 2x + 4.
x = 48
A = 2*48 + 4
A = 96 + 4
A = 100
So C = 180 - 100
C = 80
Answer: Vertex
Step-by-step explanation:
To solve this exercise you must keep on mind the definitions shown below:
1. By definition, a regular pyramid is a right pyramid whose base is a regular polygon.
2. By definition, a regular polygon is a polygon whose sides have equal lenghts.
3. By definition the apex (which is the vertex at the tip of the pyramid) of a right pyramid lies directly above the center of the base.
Therefore, keeping the above on mind, you can conclude that:
A regular pyramid has a regular polygon base and a Vertex over the center of the base.
Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
Answer:
6
Step-by-step explanation:
Add all the numbers together and divide by the amount of numbers
6+9+3+8+9+3+4= 42
42/7 = 6
Answer:
239
Step-by-step explanation:
Write the equation. Fill in the given values, and solve for the unknown,
z = k√x
717 = k√9
k = 717/3 = 239
The constant of proportionality is 239.
