Answer:
Step-by-step explanation:
Let's solve for in the first equation and then solve for
in the second equation.
I will then use the following identity to get right of the parameter, :
(Pythagorean Identity).
Let's begin with .
Subtract 2 on both sides:
Divide both sides by -3:
Now time for the second equation, .
Subtract 1 on both sides:
Divide both sides by 4:
Now let's plug it into our Pythagorean Identity:
Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
Answer:
The value of x is
Step-by-step explanation:
we know that
Applying the tangent-secant theorem
substitute the values and solve for x
using a graphing tool
to solve the quadratic equation
The solution is
see the attached figure
