Answer:
The measure of arc EF = 41°
Step-by-step explanation:
Given:
Arc DE = 73°
![\angle FED=123\°](https://tex.z-dn.net/?f=%5Cangle%20FED%3D123%5C%C2%B0)
Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,
![\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°](https://tex.z-dn.net/?f=%5Ctextrm%7BMajor%20Arc%20DGF%7D%3D2%5Ctimes%20%5Cangle%20FED%5C%5C%5Ctextrm%7BMajor%20Arc%20DGF%7D%3D2%5Ctimes%20123%5C%5C%5Ctextrm%7BMajor%20Arc%20DGF%7D%3D246%5C%C2%B0)
Now, we know that sum of all arcs on a circle is equal to 360°.
Therefore, arc DGF + arc DE + arc EF = 360°
![246+73+arc\ EF=360\\319+arc\ EF=360\\arc\ EF=360-319=41\°](https://tex.z-dn.net/?f=246%2B73%2Barc%5C%20EF%3D360%5C%5C319%2Barc%5C%20EF%3D360%5C%5Carc%5C%20EF%3D360-319%3D41%5C%C2%B0)
Therefore, the measure of the arc EF is 41°.
A............................................
1.4n represents the price and number of packages of pencils. 1.2m represents the number of paper pads and the price
Answer:
Tip: $8
Total:$48
Step-by-step explanation:
Multiply 40 by 20% to find out how much money he gave for tip.
Add the amount of tip, 8, to $40 find out the total amount of money he spent.
C , a relationship between two variables can be expressed by an equation in which one variable is equal to a constant.