The measure of angle CFD is The measure of angle CDF is The measure of angle AFB is The measure of angle BFD is The measure of angle ABC is

∠CDF = 23° ,  ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°

Step-by-step explanation:

m∠CDF = 180 - m∠CDE

m∠CDF = 180 - 157

m∠CDF = 23°

m∠CFD = 180 - ( m∠DCF + m∠CDF )

m∠CFD = 180 - ( 42 + 23 )

m∠CFD = 115°

m∠AFB = m∠CFD (Vertically opposite angles)

m∠AFB = 115°

m∠BFD = 180 - m∠CFD

m∠BFD = 180 - 115

m∠BFD = 65°

∠ABC

Solution 1:

m∠ABC = m∠DCF (Alternate angles)

m∠ABC = 42°

Solution 2:

In ΔAFB

m∠FAB = m∠CDF (Alternate angles)

m∠FAB = 23°

m∠ABC = 180 - ( m∠AFB + m∠FAB )

m∠ABC = 180 - ( 115 + 23 )

m∠ABC = 42°

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.