Answer is "Nothing, they are equal". The central angle = its associated arc.
Other things to remember:
Tangent Angle= 1/2 Arc
Inscribed angle= 1/2 Arc
The central angle is the only one that equals its arc.
Answer:
The perimeter of the triangle 198 cm.
Step-by-step explanation:
Given that,
In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.
Pythagorean Theorem:
Sum of square of the legs is equal to square of hypotenuse.
∴a²+b²=c²
a= ?, b= 77 cm and c=85 cm
a²+77²=85²
⇒a²+5929=7225
⇒a²=7225-5929
⇒a²= 1296
⇒a = 36 cm
The perimeter of the triangle = sum of all sides
=a+b+c
=(36+77+85) cm
= 198 cm
You can get all the terms on one side, and then solve for x by any means:

Factor out a -2:

Factor this equation:

I will use the AC method. To use it, first multiply a and c (in ax^2 + bx +c):

Now, look for two numbers that multiply to -12 and add to -11. Obviously these numbers are -12 and 1. (-12*1 = -12 and -12+1 = -11). Now, because of rules, you set it up in a Punnett square:
4x^2 -12x
x -3
Now, we find common factors of the terms in rows:
_x_______-3__
4x| 4x^2 -12x
1 | x -3
So, you can use this to write an equivalent expression to the quadratic given:

Now, we known the factors are (solve for x):
3 and -1/4.

<em>In decimal form, a = 114.5; b = 25.5</em>
We will write this as a system of equations, where
and
are the two angles.

We will use substitution to solve this system. We know what
equals, so we plug that into the second equation.

Combine the like terms.

Add
on both sides.

Divide both sides by
.

Now just subtract that from
.

Answer: Yes
Step-by-step explanation: We're going to have to substitute
in the coordinates of that ordered pair into the equation.
I am going to substitute in the x and substitute in the y.
So it's really 5(2) + 3(-3) = 1.
From here it should be pretty straightforward,
all we are doing is evaluating the statement.
Simplifying on the left we have 10 + -9 = 1 or 1 = 1.
Now we know that the ordered pair (2, -3) satisfies this equation.