Answer:
the two number are 7 and 9
Step-by-step explanation:
2*x+y=25
3x-y = 20
add the two equations
2*x+y=25
3x-y = 20
---------------
5x = 45
divide by 5
5x/5 = 45/5
x = 9
lets find y
2x+y = 25
substitute x
2*9 +y =25
18+y =25
subtract 18 from both side
y = 25-18
y =7
5 equals 5/1. Simple as that.
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
