Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
It's forming a circle so we know that together it's going to add up to 360. #1 is 66 because angle A trough E is straight and we have 90 on angle ACF and it's vertical to angle FCG. #2 is 125 because angle ACB is 24 because it's vertical to angle GCE. #3 is 114 because 90 and 24 is 114. #4 is 156 because 66 and 90 equal 156.
1. FCG = 66
2. BCD = 125
3. FCB = 114
4. ACG = 156
Answer:
The founding fathers would have welcomed the immigrants coming from worn torn countries with open arms. As seen in the quotations, the founding fathers say "Give me your tired, your poor"... indicating that they want those immigrants to come to America. They want people who are not fortunate and who are struggling to survive to come to America because America is open to all races and all those types of people. The founding fathers also say "Send these, homeless, tempest-tossed to me, I lift my lamp beside the golden door!". Tempests, are storms, and people who are "tempest-tossed" are not in good condition. The founding fathers want people who are not in very stable conditions, and those who are "homeless" to come to the land of opportunity. America will open its "golden door" to those who are suffering.
Step-by-step explanation:
Answer:
40k+45m
Step-by-step explanation:
5(8k)=40k + 5(9m)= 45m
draw the lines down all the ways that it is equal on each side
