If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,
m₁ + m₂ + m₃ = 180
Given the measures of the first two angles, the measure of the third angle is calculated through the equation,
m₃ = 180 - (m₁ + m₂)
Substituting the known expressions,
m₃ = 180 - (-3x⁵ + 2x²)
Simplifying,
<em> m₃ = 180 + 3x⁵ - 2x²</em>
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so

we have that the base and the height of triangle is equal to the radius of the circle

substitute

simplify
Factor 36

Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to

substitute the given values

Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to

simplify

Find the perimeter

simplify
Factor 6

Answer:
The answer is x = 7. Hope this helps.
Answer:
$60.00
Step-by-step explanation:
First person:
$4.50
Second person:
3 times $4.50 = $13.50
Total of first two people:
$4.50 + $13.50 = $18.00
Third person:
$78.00 - $18.00 = $60.00
The third person pays $60.00
Answer:44
Step-by-step explanation:
0.2x+(-0.9)+1.7==9.6
0.2x+0.8=9.6
Subtract 0.8 from both sides
0.2x+0.8-0.8=9.6-0.8
0.2x=8.8
Divide both sides by 0.2
0.2x ➗ 0.2=8.8 ➗ 0.2
x=44