Answer:
Option D. w + x = z
Step-by-step explanation:
see the attached figure to better understand the problem
we have
----> equation A
----> equation B
equate equation A and equation B
Subtract y both sides
This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)
Let, width = x
Length = x + 6
Now, perimeter, 2(l+b) = 2(x+6+x)
2(2x+6) = 32
4x + 12 = 32
4x = 20
x = 5 &
x+6 = 5+6 = 11
As rectangle's dimensions are 11*5, it's area would be: 11 * 5 = 55 yards²
So, your final answer is 55 Yd²
Hope this helps!
Answer:
t=0 or t=44
Step-by-step explanation:
There are a few methods to do this, the most obvious being the use of the quadratic formula.
However, a quick check with a calculator or even your mind will reveal that 704 is divisible by 16. Thus we can solve this through factoring.
-16t(t-44)=0
Using the zero factor principle:
-16t=0 and so t=0
t-44=0 and so t=44
And thus we get the solution.
Step-by-step explanation:
Let the sum of rupee be x
no of boys be y
then each boy get x/y
now if the no of boys increased by 10 each boy get x/(y+10) = (x/y)-1 => x/(y+10) = (x-y)/y .........(1)
now case 2nd if no of boys decrease by 15 each boy get x/(y-15)= (x/y) +3 => x/(y-15) = (x+3y)/y ...........(2)
Answer:
Some of the possible factorizations of the monomial given are:
Step-by-step explanation:
To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:
- Descompose into prime numbers:
- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:
