Okay so divide 56 by 14 and so x = 4
Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Answer:
x=81 degrees z=99 degrees y=68 degrees
Step-by-step explanation:
first we know 36+63+x is 180 degrees by triangle sum ( the sum of the three angles of a triangle is 180) so x would be 81 degrees. then we know x+z=180 degrees by sum of a line( a line is 180 degrees on either side) making z=99 degrees. Then doing triangle sum again we know 13+99+y=180 degrees making y=68 degrees
Answer:
51.2 i think
Step-by-step explanation:
The two lines are neither
This is because in order for two lines to be considered parallel, they must have the same slope/ gradient. And none of our equations have the same slope/gradient
Whereas, in order for two lines to be considered perpendicular, their slopes/gradient must multiply together to give -1. And if we multiply the gradients of our equations, we do not get negative one