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°
The answer is fifteen (15)
Hope this helps!
Answer:
250 cookies
Step-by-step explanation:
The employee burns 55 chocolate chip cookies
if this represented 22% of the days production
Let x = the total production of cookies for the day
how many cookies did you plan on producing that day?
22% of x = 55
22 / 100 * x = 55
0.22x = 55
Divide both sides by 0.22
x = 55 / 0.22
= 250
x = 250 cookies
Therefore, the total production of cookies for the day is 250
You have: y=0.73x+1. Compare this to the equation of a straight line (in slope-intercept form). The slope, m, is 0.73. The y-intercept, b, is 1.
Answer:
163 lbs
Step-by-step explanation:
Since she weighs 177 lbs after birth, and they want to know how much she will weigh in 3.5 months with 4 lbs lost every month, here is the math:
4x3.5=14 lbs total
177 - 14lbs is 163
