Answer:
5ft < n < 14ft
Step-by-step explanation:
measurement of side 1 = 5ft
measurement of side 2 = 9ft
let the unknown side = n
according to the Triangle Inequality Theorem the largest side is < the sum of the two sides of a triangle.
Hence if n is the largest side it will be < 5 + 9 = 14 ft. i.e. n < 14ft
but if 9ft is the largest side then 9 < 5ft + n i.e. n > 5 ft
Answer:
Equation is S = 40w + 650
So S = 40(16) + 650
S = 640 + 650
S = $1,290
Step-by-step explanation:
this because each week (W) he adds $40 and the $650 is the initial amount in his savings account. So since 16 weeks went by, just multiply that by 40 and add 650 to that product.
We know the perimeter is the sum of all sides. So lenght+length+width+width = 2length+2width.
Let's call the width x. If the length is 4m longer, then it's x+4.
We know the perimeter, so we can make an equation:
56=2x+2(x+4)
And solve from there:
56=2x+2x+8
56=4x+8
48=4x
48/4=x
x=12
The width, which is x, is 12 m. And the length, x+4, is 16 m.
You can check this is correct by calculating the perimeter using those values: 12+12+16+16=56.
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