Lee is creating a garden with the dimensions shown.

Lines are drawn inside a large triangle at each point to create smaller triangles. Line A B is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to A B is 36 degrees. Line Z Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to Z Y is 65 degrees. Line X Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to X Y is 79 degrees.

He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?

AB= 12.94ft, 108deg

ZY= 6.76ft 50deg

XY 3.05ft, 22deg

Pathway adds up to 22.95ft

Step-by-step explanation:

AB is base

Sides 8 feet each = isosceles. =8ft, 8ft, 12.94ft

Top angle is 36 degree = 36°.36°,108°

ZY is base

Sides 8 feet each = isosceles = 8ft, 8ft, 6.76ft

Top angle is 65° = 65° 65° 50 °

XY is base

Sides 8 feet each =isosceles =8ft, 8ft, 3.05ft

Top angle is 79° degree = 79°,79 °,22 °

Pathway means triangles in a row side by side = Product of 3 values = ? feet

12.94 +6.76 + 3.05 =22.95ft pathway

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).