There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°
Answer:
10.5 hours
Step-by-step explanation:
To find the number of hours she babysat last week subtract 5 from 11 which is 7 hours. 7 hours is equal to 2/3 of the many hours. If she babysat h hours last week then solve for h using 2/3 h = 7.
Solve the equation by multiplying each side by the reciprocal.
3/2 * 2/3h = 7*3/2
h = 21/2
h = 10.5 hours
Answer-
<em>The price of gas will be</em><em> $4.2</em>
Solution-
Gas prices in shelby county = $3.00 per gallon
Market scientist predicts a 40% increase in the price of gas in the coming month.
So the new price will be,




Therefore, the price of gas will be $4.2
Do u want the answe for y= -x- 2/3