Answer:
The answer is x = 8/5
Step-by-step explanation:
6 - 5x + 2 = 3x - 12 + 2x
4 - 5x = 5x - 12
4 = 10x - 12
16 = 10x
8/5 = x
Answer:
45 or multiples of 45 around the centre of octagon
Step-by-step explanation:
Given that ABCDEFGH is a regular octagon. i.e. it has 8 sides.
Since regular ocagon, all interior angles would be equal.
Sum of all interior angles of octagon = 2(8)-4 right angles
= 12 right angles
Hence each angle = 12(90)/8 = 135 degrees
Thus the octagon when rotated will take the same shape if vertices interchange also due to the property that all sides and angles are equal
Since each angle is 135 imagine an octagon with one vertex at origin O, and adjacent vertex B on x axis. OB has to be coincident with BC the next side or the previous side to get it mapped onto itself
The centre will be at the middle with each side subtending an angle of 45 degrees.
Hence if rotation is done around the centre with 45 degrees we will get octagon mapped onto itself.
45, 90, 135 thus multiples of 45
Answer:
0.1 for each case
Step-by-step explanation:
Because Jordan's teacher randomly calls on students and Jordan has 10% chance of being called on any given day, the probability that on the first day Jordan is called on is 0.1 Besides, the probability remains constant on any given day, so, the probability that on the 2nd day Jordan is called on is 0.1 and for the 5th day is the same 0.1 Probability is always a number between 0 and 1.
Answer: 20/21 gallons
Step-by-step explanation:
From the question given, we are informed that Maleah turned on the water in the kitchen and that for every 1 3/4 minute, 1 2/3 gallons of water went into the sink.
The number of gallons of water that filled the sink per minute will then be calculated as:
= Amount of gallons of water that went into sink / Number of minutes used
= 1 2/3 ÷ 1 3/4
= 5/3 ÷ 7/4
= 5/3 × 4/7
= 20/21
Therefore, 20/21 gallons of water filled the sink per minute
I think so too it sounds right to me
