Answer:
[A] The corresponding sides of the triangles are congruent.
[B] The corresponding angles of the triangles are congruent.
[C] The triangles have the same size.
[D] The triangles have the same shape.
Step-by-step explanation:
SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.
In Order for two triangles to be congruent must have the following below:
- Two figures are said to be congruent if they have same size and same shape.
- If two figure are congruent that means the corresponding sides will also be congruent.
- If two figure are congruent that means the the corresponding angles will also be congruent.
Hence, base on the given all the following are correct:
A. The corresponding sides of the triangles are congruent. √
B. The corresponding angles of the triangles are congruent. √
C. The triangles have the same size. √
D. The triangles have the same shape. √
<u><em>Kavinsky</em></u>
Divide both sides by -3, and replace 
with 
. Then
Factorize the quadratic in to get
which in turn means
But 
for all real 
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored:
T=2n+3
considering n has no other values given
Distribute the 3.
3*x + 3*4
3x + 12
Hope this helps :)
Okay, so, to find out if an equation has one solution, an infinite number of solutions, or no solutions, we must first solve the equation:
(a) 6x + 4x - 6 = 24 + 9x
First, combine the like-terms on both sides of the equal sign:
10x - 6 = 24 + 9x
Now, we need to get the numbers with the variable 'x,' on the same side, by subtracting, in this case:
10x - 6 = 24 + 9x
-9x. -9x
______________
X - 6 = 24
Now, we do the opposite of subtraction, and add 6 to both sides:
X - 6 = 24
+6 +6
_________
X = 30
So, this particular equation has one solution.
(a). One solution
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(b) 25 - 4x = 15 - 3x + 10 - x
Okay, so again, we combine the like-terms, on the same side of the equal sign:
25 - 4x = 25 - 2x
Now, we get the 2 numbers with the variable 'x,' to the same side of the equal sign:
25 - 4x = 25 - 2x
+ 2x + 2x
________________
25 - 2x = 25
Next, we do the opposite of addition, and, subtract 25 on each side:
25 - 2x = 25
-25 -25
___________
-2x = 0
Finally, because we can't divide 0 by -2, this tells us that this has an infinite number of solutions.
(b) An infinite number of solutions.
__________________________________________________
(c) 4x + 8 = 2x + 7 + 2x - 20
Again, we combine the like-terms, on the same side as the equal sign:
4x + 8 = 4x - 13
Now, we get the 'x' variables on the same side, again, and, we do that by doing the opposite of addition, which, is subtraction:
4x + 8 = 4x - 13
-4x -4x
______________
8 = -13
Finally, because there is no longer an 'x' or variable, we know that this equation has no solution.
(c) No Solution
_________________________________
I hope this helps!
