Answer:v=-4
Step-by-step explanation:
This is a very interesting problem. What makes it so interesting is that
there's so little actual math to it. The only big Math thing you need to know
in order to work with this question is the definition of "perimeter".
"Perimeter" means
"the distance all the way around the edge of something".
The problem GIVES you the length of all the sides of both triangles.
To find the perimeter of one triangle, just take the lengths of its three
sides and addum up.
The perimeter of the blue one is (7x+7) + (5x-4) + (4x+2) .
That's it ! That's the perimeter. Of course, they want you to write
it in simplest form, so you have to clean it up. Remove all of the
parentheses, add up all the 'x's, and add up all the plain numbers,
and you'll have a short, pretty expression.
Then do the same thing for the red one, and get its perimeter.
In part-b, they want you to find the difference between the two perimeters.
No problem. Just write (the blue perimeter) minus (the red perimeter),
and simplify THAT expression.
Now they want the actual perimeters when 'x' is 3.
No big deal. Just take each separate perimeter, write '3' in place of 'x',
and find the number that the expression becomes.
Just now, looking at the picture without writing anything down,
I got 53 for the blue one and 17 for the red one.
I could easily be wrong, so you definitely have to work them
out for yourself.
You have to prove that 2 angles are conguent to the other triangles angles; example: ∠A≅∠C by the additon POC (2 of those) and then one side; example: AB≅BA by the reflexive POE (1 of those)
I cant see the triangles but thats how you do them, also im learning this right now too, look up the triangle congruence things like ASA ≅ SSS≅ HL≅ exc. a chart will explain how to prove them using that:
The statement that is true about the factorization of 30x2 + 40xy + 50y2 is that <span>The factorization of the polynomial is 10(3x2 + 4xy + 5y2).</span>
