32/36=8/9 divided both digits by 4
Answer:
M
Step-by-step explanation:
M is the point located in (2,4 )
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°.
Answer:
18 years
Step-by-step explanation:
2(8+x) = 34+x
16+2x = 34+x
-18 = -x
Answer:
$35
Step-by-step explanation:
equation to represent the situation:
4.90 = 0.14 * b
so,
4.90 / 0.14 = b
b = 35
The cost of the manicure was $35.