Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
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 and Step-by-step explanation:
Theoretical probability is expected probability of an occurrence hence the name theoretical. It is theoretical and not practical as it has not been experimented or actually become practical. Experimental probability on the other hand is probability that has been experimented- it is the result of test of probability on the actual population.
In the case above, the theoretical which is the expected probability that has not been experimented is 1/2 of getting Red cards. This probability is theoretical and therefore may change when tested. Hence the different result of 7 Red and 13 blacks with 20 cards picked when experimented
You need to distribute the -5 and(2x-7y+3)which gives you -10x+35y-15. Now you have 2x-10x+35y-15+-8. Combine like terms, 2x-10x=-8x, also combine -15+-8= -23. The answer would be -8x+35y-23.
Answer: This is very late but but for helping other people in the future, the answer is 33. I took the test and it's correct. Here is a screenshot:
Step-by-step explanation:
