The answer is 5/22,
first change the mixed fraction into an I'm proper fraction which will be 22/5
22/5×5/22=1
Answer: According to recentest research no well actually it'd float away
Step-by-step explanation:
Answer:
(1, -9)
Step-by-step explanation:
4x + y = -5
8x + 3y = -19
If we have to use elimination, that means we're going to add or subtract these two whole equations by each other so that we can cancel out one of the variables.
I think that we could easily turn 4x into 8x if we multiply the top equation by 2.
4x + y = -5 ---> 8x + 2y = -10
Now put them next to each other, and subtract to get rid of the xs.
8x + 2y = -10
- 8x + 3y = -19
------------------------
0x - y = -10 - -19
-y = 9
y = -9
Plug this back in to get x.
4x + y = -5
4x - 9 = -5
4x = -5 - -9
4x = 4
x = 1
Explanation:
<u>Statement 2</u>:
Angle J is congruent to itself
<u>Reason 2</u>:
Reflexive property of congruence
__
<u>Statement 3</u>:
ΔHIJ ~ ΔGHJ
<u>Reason 3</u>:
SAS similarity theorem
_____
The sides given as proportional (having the same ratio) are corresponding sides in the two triangles. The first pair of sides (HJ, GJ) are named by the first and last letters of the triangle names, so correspond. The second pair of sides (IJ, HJ) are named by the last two letters of the triangle names, so correspond.
The angle between these corresponding sides is the one at the vertex whose name is the point shared by the sides. In the first triangle, the two sides of interest are HJ and IJ, which share the point at J. Thus angle J is the angle between these two sides. In the second triangle, the two sides of interest are GJ and HJ, which share the point at J. Hence angle J is the angle between these two sides, also.
So, we have corresponding sides that are proportional and the angle between them that is congruent (to itself). This allows us to invoke the SAS theorem for triangle similarity.
