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:
(x - 1) (x + 2) (x + 4)
Step-by-step explanation:
Factor the following:
x^3 + 5 x^2 + 2 x - 8
The possible rational roots of x^3 + 5 x^2 + 2 x - 8 are x = ± 1, x = ± 2, x = ± 4, x = ± 8. Of these, x = 1, x = -2 and x = -4 are roots. This gives x - 1, x + 2 and x + 4 as all factors:
Answer: (x - 1) (x + 2) (x + 4)
Multiply all the numbers by what you see on the screen and the six the side and then divide it into a equal amount.
Answer:
The use of sampling would be best in the following situation:
a. The need for precise information is less important.
Step-by-step explanation:
Sampling:
It is such a process of analysis in which we divide a large proportion of data into smaller proportions called samples to determine the characteristics of that data.
- The option a is correct as in sampling, we take a smaller proportion from a large pool of data so when the precise information is less important, it is a good way to use sampling.
- The option b is not correct as the number of items comprising the population is always large.
- The option c is not correct as the likelihood of selecting a representative is relatively not small rather it is large.
- The option d is incorrect as the use of sampling is not appropriate in all of these situations.