Answer:
your answer is point D represent
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
Answer:
the answer is C i think
Step-by-step explanation:
Answer:
length = 22
width = 13
Step-by-step explanation:
Perimeter of a rectangle is given by the formula
P =2(l+w)
we know the length is x
width is x-9
P =70
Substituting this into the equation
70 = 2(x+x-9)
Combining like terms
70=2(2x-9)
Distributing the 2
70 = 4x-18
Adding 18 to each side
70+18 = 4x-18+18
88 = 4x
Divide by 4
88/4 = 4x/4
22= x
we know the length is x
length = 22
width is x-9
width = 22-9= 13
Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
