Answer:
8
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle.
let the other 2 sides be x and x - 3 , then
12 + x + x - 3 = 31
2x + 9 = 31 ( subtract 9 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11 and x - 3 = 11 - 3 = 8
The 3 sides are 12, 11, 8
with shortest side 8
Let J = rate of jet in still airLet W = rate of wind Distance formula: d = rt / r = d/t Flying against the wind the jet flies at a rate of J - W = 1860 miles/3 hours = 620 miles per hourFlying with the wind the jet flies at a rate of J+W = 9180 miles/9 hours = 1020 miles per hour The average of these 2 rate is the speed of the jet in still air J = (620+1020)/2 = 820 miles per hour J - W = 620
820 - W = 620
W = 820 - 620 = 200 miles per hour The jet in still air flies at a rate of 820 mph(miles per hour)The wind speed is 200 mph(miles per hour)
Let the variable n represent the number

- Less eleven means subtract eleven from the variable

<u>➪</u><em>Thus, The equation is (n-11)</em>
Area = Length x Width
Area = 34 x 14
Area = 476 yd²
Answer: 476 yd²
x = 3
Step-by-step explanation:
First we would simplify the left hand side of the equation by expanding the brackets
so 2(4-3x) = 8-6x and
5(2x-3) = 10x-15
This gives the left hand side as 8-6x+10x-15. So the overall equation becomes
8-6x+10x-15 = 20-5x.
Grouping the unknown values on one side and integers on one side of the equation gives us
8-15-20=6x-10x-5x (note the sign changes when numbers and unknown values are moved to the other side of the = sign
Solving further, -27 = -9x i.e x = -27/-9 = 3
Hence x = 3