Answer:
it is a
Step-by-step explanation:
Answer:
-3/5
Step-by-step exp:
given in the file. Hope it helps.
The given statement is proved by side-angle-side (SAS) theorem.
Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.
The statement is proved by SAS theorem
<u>Side-Angle-Side (SAS) theorem: </u>
The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.
Hence, The given statement is proved by side-angle-side (SAS) theorem.
To read more about Angles
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A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
<span><u>3x + 8 = 26 + x</u>
The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it. I'm not sure you're there yet.
The 'answer' or the 'solution' to the problem is a number. It's the number
that 'x' must be in order for that line at the top to be a true statement. There's
only one possibility.
To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too. With that ability, here's how
to 'figure out the problem', and find the answer:
The original problem: </span><span><u>3x + 8 = 26 + x</u>
Subtract 8 from each side:
3x = 18 + x
Subtract 'x' from each side:
2x = 18
Divide each side by 2 :
<u>x = 9 </u> .
That's what the answer looks like, and that's what the answer is.
' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.
I'll show you what I mean. Let's take the original problem
</span><span> <u><span>3x + 8 = 26 + x
</span></u><span>and let's write ' 2 ' wherever we see 'x' :
3 (2) + 8 = 26 + 2
3 (2) means 3 times 2, and that's 6 .
So now we have
6 + 8 = 26 + 2
Do the addition on each side, and we have
14 = 28 .
That's nonsense. 14 is not equal to 28 . The reason that happened
is because we put the wrong number in place of 'x' . When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
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