Answer:
m∠FEH = 44°
m∠EHG = 64°
Step-by-step explanation:
1) The given information are;
The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°
Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°
Therefore, angle subtended by arc ∠HGF at the center = 88°
The angle subtended by arc ∠HGF at the circumference = m∠FEH
∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)
m∠FEH = 44°
2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°
The sum of angles in a quadrilateral = 360°
Therefore;
m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)
m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°
m∠EHG = 64°.
Answer:
22
Step-by-step explanation:
The 2419 grapefruit filled 134 boxes of 18, with 7 left over.
The 4395 oranges filled 146 boxes of 30, with 15 left over.
The total number of pieces of left-over fruit is 7+15 = 22.
I have never see this in my. Life
Answer:
a). f(0) = 7
b). f(
) = 6
c). f(-5) = 22
d). x = 9
Step-by-step explanation:
The given function is f(x) = -3x + 7
a). For x = 0
f(0) = -3(0) + 7
= 0 + 7
= 7
b). For x =
f() = 
= -1 + 7
= 6
c). For x = (-5)
f(-5) = -3(-5) + 7
= 15 + 7
= 22
d). For f(x) = (-20)
-20 = -3x + 7
3x = 20 + 7
3x = 27
x = 9
