Answer:
0.2 < x < 11.8
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.
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Perimeter of any figure is all its sides summed up
for a rectangle, with two equal pairs, that means, length + length + width + width or 2length + 2width, or 2(length + width)
but we know the length is 7/5 the width
width = w
perimeter = P

and the length is 7/5 of that
Answer:
y = 14
Step-by-step explanation:
∠BCF and ∠EFH are same side interior angles and are supplementary, hence
5x - 66 +2x + 50 = 180
7x - 16 = 180 ( add 16 to both sides )
7x = 196 ( divide both sides by 7 )
x = 28
∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74
∠ACD = ∠BCF ( vertical angles ), hence
9y - 52 = 74 ( add 52 to both sides )
9y = 126 ( divide both sides by 9 )
y = 14