Answer:
The answer is 40°
Step-by-step explanation:
Solution
Now,
The Measure of major arc FD = 280°
Thus,
One complete angle measure 360°
Then
m∠FED = 360 - 180
m∠FED = 80°
Thus,
FE = DE ( the same circle Radius)
∠EFD = ∠EDF ( opposite angles to equal sides are equal)
Now
Applying angle sum property of a triangle in ΔEFD
∠EFD + ∠EDF + ∠FED = 180°
∠EFD + ∠EFD + 80 = 180
2∠EFD = 100
∠EFD = 50°
Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.
∠EFG = 90°
∠GFD + ∠EFD = 90°
∠GFD + 50 = 90
∠GFD = 40°
Therefore, The measure of the angle GFD is 40°
Answer:
1/2, because there's 4 suits, and so the probability of choosing 2 is 1/2.
Step-by-step explanation:
A function assigns the values. The maximum amount of students able to receive tickets is 178.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Let the maximum amount of students able to receive tickets be represented by x. Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are already coming. And the auditorium seats a maximum of 1275 people. Therefore, we can write,
1275 = 4x + 560
1275 - 560 = 4x
4x = 715
x = 178.75
Since the number should be a whole number therefore, the maximum amount of students able to receive tickets is 178.
Learn more about Function:
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Answer:
Step-by-step explanation:
6 < 2 1/2 + 1 1/3R
