Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary? Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _. So, _. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.

A) twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE

B) twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE

C) one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE

D) one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE

C) one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE

Step-by-step explanation:

Quadrilateral CDEF is inscribed in circle A, so:

m arc CDE + m arc CFE= 360°.

∠CFE and ∠CDE are inscribed angles, which means that their measures are one half the measure of their intercepted arcs.

So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE.

Using the substitution property of equality:

2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°.

Using the division property of equality, divide both sides of the equation by 2, resulting in:

m∠CFE + m∠CDE = 180°.

Therefore, ∠CFE and ∠CDE are supplementary.

The correct option is C.

inscribed angles; one half the measure of their intercepted arcs

Step-by-step explanation:

i took the flvs test :)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

their is no graph showing

step-by-step explanation: