Answer:
Step-by-step explanation:
P= 2(L) + 2(w)
1504= 2(525) + 2(w)
1540= 1050 + 2(w)
1540 - 1050= 2(w)
490 = 2(w)
490/2 = w
245 = w
w is y
L is 525
We can write this in math as x+y+z=104, x=y-6, and z=3y
Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.
y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.
Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.
The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.
The third equation z = 3y can be written as z = 3(22) or z = 66.
Our three numbers are 16, 22, and 66. Hope this helps you!
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
For the triangles to be congruent, then the legs
ED = AB, that is
4x + 2 = 34 ( subtract 2 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Answer:
B:5x
Step-by-step explanation:
It would be B because if you add all the sides together you would get 5x and 5x is B