1. substitution....because it would be easier to just sub one y in for the other then it would be to use the elimination method
2. substitution....because in one of the equations, u already have y...so just sub 6x - 13 in for y in the other equation
3. elimination....all u have to do is add them and ur y terms are eliminated, allowing u to find x
4. substitution....sub in x + 1 for y in the other equation
2x + 4(x + 1) = 28 y = x + 1
2x + 4x + 4 = 28 y = 4 + 1
6x = 24 y = 5
x = 4
the solution for this system is : (4,5)
5. elimination..
3x - y = -1 3(-2) - y = -1
2x + y = -9 -6 - y = -1
------------------add -y = -1 + 6
5x = -10 -y = 5
x = -2 y = -5
the solution to this system is : (-2,-5)
6. substitution.....sub in one y for the other
2/3x - 1 = -x + 4 y = -x + 4
2/3x + x = 4 + 1 y = -3 + 4
5/3x = 5 y = 1
x = 5 * 3/5
x = 3
so the solution to this system is (3,1)
7. substitution...sub one y in for the other
296 - 10x = 200 + 6x y = 200 + 6(6)
296 - 200 = 6x + 10x y = 200 + 36
96 = 16x y = 236
6 = x
so the solution for this system is (6,236)
Miles driven in 8.07 gallons = 241 miles
Miles driven in 1 gallons = (241/8.07) * 1
= 29.86 miles
Well, you only listed three pieces so far. But I can already see a
pattern emerging from those three.
Of course, the next piece might return to 1-1/2 inches. I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long.
It must eventually return to 1-1/2 inches and start over from there.
From the first piece to the second one, and from the second one
to the third one, the increase is 5/16 inch both times. So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is
(2-1/8 + 5/16) = (2-2/16 + 5/16) = 2-7/16 inches .
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
△FEG is similar with △FHJ -----> by AA Similarity Theorem
so
we have
substitute the given values
