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Step-by-step explanation:
5+6x=2x-7
We simplify the equation to the form, which is simple to understand
5+6x=2x-7
We move all terms containing x to the left and all other terms to the right.
+6x-2x=-7-5
We simplify left and right side of the equation.
+4x=-12
We divide both sides of the equation by 4 to get x.
x=-3
Answer:
45.3 mm
Step-by-step explanation:
Use the basic 45-45-90 triangle with side length 1 as the building block here. If the length of one side is 1, then the perimeter is 1 + 1 + 1 + 1, or 4, and the length of the diagonal is √2.
We are told that the length of the diagonal of the given square is 16 m.
Determine the length of one side of this square, using an equation of proportions:
16 x
------ = -------
√2 1
16
Then (√2)x = 16, and x = -----------
√2
The perimeter of the given square (with diagonal 16 mm) is 4 times the side length found above, or:
16 16
4 ---------- = (2)(2) ----------- = (2)(√2)(16) = 32√2 (all measurements in mm)
√2 √2
This perimeter, rounded to the nearest tenth, is 45.3 mm.
