Answer:
<h2>YES</h2>
Step-by-step explanation:
![4(5x+3)-9x=11x+12\qquad\text{use the distributive property}\\\\(4)(5x)+(4)(3)-9x=11x+12\\\\20x+12-9x=11x+12\qquad\text{combine like terms}\\\\(20x-9x)+12=11x+12\\\\11x+12=11x+12\qquad\text{subtract}\ 11x\ \text{from both sides}\\\\11x-11x+12=11x-11x+12\\\\12=12\qquad\bold{TRUE}](https://tex.z-dn.net/?f=4%285x%2B3%29-9x%3D11x%2B12%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%284%29%285x%29%2B%284%29%283%29-9x%3D11x%2B12%5C%5C%5C%5C20x%2B12-9x%3D11x%2B12%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%2820x-9x%29%2B12%3D11x%2B12%5C%5C%5C%5C11x%2B12%3D11x%2B12%5Cqquad%5Ctext%7Bsubtract%7D%5C%2011x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C11x-11x%2B12%3D11x-11x%2B12%5C%5C%5C%5C12%3D12%5Cqquad%5Cbold%7BTRUE%7D)
We received a true equation independent of x.
Hence, we conclude that we can substitute any number for x.
Therefore, the equation has infinitely many solutions (each number is the solution to this equation).
Answer:
x=25
Step-by-step explanation:
Since both triangles are similar, you can set them up as a proportional problem
x/20=32/(8+20+12) Solve for x, you can so cross multiply method.
32x=800
x=25
Answer:
7.1 m
Step-by-step explanation:
A cube has 6 congruent square faces.
Given the surface area = 302.46 m² then the area of one face is
302.46 ÷ 6 = 50.41 m²
The area of a square = s² ( s is the side length ), thus
s² = 50.41 ( take the square root of both sides )
s =
= 7.1 m
The length of each side of the cube is 7.1 m
Answer:
I would be our answer.
Step-by-step explanation:
So we need to solve both.
x-y=5 = 5.
And we also need to solve -x+y=5.
Let's regroup them.
![y-x=5](https://tex.z-dn.net/?f=y-x%3D5)
Now we needt to subtract y from both sides.
![-x = 5 -y](https://tex.z-dn.net/?f=-x%20%3D%205%20-y)
Now let's multiply both sides by -1.
![x = -5 + y](https://tex.z-dn.net/?f=x%20%3D%20-5%20%2B%20y)
Then we finally get
x = y - 5
Our final answer is I, there is no solution for this problem. Yes, they both equal 5 but do not fit any of the answers.
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