In circle o, ad and be are diameters. the measure of arc ab is 55 and the measure of arc cd is 25 what is the measure of eac

arc EAC = 280 degrees

Step-by-step explanation:

Given: the measure of arc AB is 55  and the measure of arc CD is 25

Vertical angles are equal so <AOB = <DOE = 55

In a circle, the degree measure of an arc is equal to the measure of the central angle.

so if <DOE = 55 then arc DE = 55

As you know, the arc angle to a full angle in a circle = 360

so

arc EAC = 360 - arc CD - arc DE

arc EAC = 360 - 55 - 25

arc EAC = 280

arc EAC = 280 degrees

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