Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the measure of angle a
we know that
The formula to calculate the measure of the interior angle of a regular polygon is equal to
where
n is the number of sides of the regular polygon
For the regular pentagon in the figure
n=5
substitute in the formula
Part 2) Find the measure of angle b
Remember that a regular polygon has equal sides and equal interior angles
so
In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon
therefore
The triangle in white of the figure is an isosceles triangle
The measure of the vertex angle of the isosceles triangle is equal to
Remember that
The sum of the interior angles of triangle must be equal to 180 degrees
so
solve for b
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
<h3>System of equations</h3>
Given the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: brainly.com/question/10439235
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Answer:
1,600 ml
there is 20 bottles all together in both boxes. Multiply 20 times 80 to get 1,600 ml in all
16x+13x
Would be the correct response
They wont..............................................................................................................................................................................
