(Score for Q4 1. Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must cut the bricks to fit the angles of the garden. Use the given measures to answer the question. MZA= 1° mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x) What are the angle measures of each vertex of the garden? Show your work. B B A С E D Answer. D Focus​

Complete question :

Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must

cut the bricks to fit the angles of the garden. Use the given measures to answer the question.

mzA=x

mZB=(5x-5)

m2C =(2x +20)

mZD=(3x-15)

mZE =(4x)

What are the angle measures of each vertex of the garden? Show your work.

m<a=36

m<b=175

m<c=92

m<d=93

m<e=144

Step-by-step explanation:

Use the given measures to answer the question. MZA= x mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x)

We are given five angles :

Using the sum of interior angle of a regular polygon formula :

180(n - 2) ; where, n = number of sides ;

180(5 - 2) = 180 * 3 = 540°

The sum of the 5 angles should add up to 540°

x + (5x - 5)° + (2x + 20)° + (3x - 15)° + 4x = 540

5 + 20 - 15 + 5x + 2x + 3x + 4x + x = 540

15x = 540

15x = 540

15x = 540

x = 36

mzA= 36°

mZB=(5(36)-5) = 175°

m2C =(2(36) +20) = 92°

mZD=(3(36)-15) = 93°

mZE =(4(36) = 144°

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.