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Monica [59]
2 years ago
10

6. Isosceles trapezoid SAND has diagonals SN = 5w + 13 and AD = 11w - 5. . Determine the value of w.​

Mathematics
1 answer:
leva [86]2 years ago
4 0

Answer:

3

Step-by-step explanation:

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The sides of a triangle are x , x +1 , 2 x -1 and its area is x root of 10 .Find the value of x.
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Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

Substitute the known values into the formula:

x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}

Simplify:

<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>

<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>

<span>x√10=√[2x(x)(x-1)(1)]</span>

<span>x√10=√[2x²(x-1)]</span>

<span>x√10=√(2x³-2x²)</span>

<span>10x²=2x³-2x²</span>

<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

6 0
3 years ago
In August, 85% of the middle school students voted in a school election. The number of students who voted was 544. How many stud
Maksim231197 [3]

Answer:

640 students

Step-by-step explanation:

544 divided by 85%= 640

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