Step-by-step explanation:
a,b) you can place all 17 in the middle and both circle will have 17 each. then remove 2 and place one each on separate sides. you can do this 8 times so that at the you'll end up with 1 in the middle and 8 each on separate sides.
the ways to do is then 9.
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:
0.78¢
Step-by-step explanation:
if 3.5 lbs of bananas is $2.73, then we need to divide each side by 3.5 to get 1 lb of bananas
1 lb = 0.78¢
To check our work, we can do 0.78x3.5 = 2.73
Hope this helps! Please mark Brainliest if this helped :)
Answer:
There will be 1 solution to the system of equations.
Step-by-step explanation:
y = 6x - 7
y = 53x + 13
Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.
tadah!
Answer:y.5
Step-by-step explanation:5 times 3 = 15/2 = 7.5
