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Pepsi [2]
2 years ago
12

Solve the equation. 2x + 3(x - 1) = 3x + 11 X = [?]

Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Answer:

x=7

Step-by-step explanation:

2x+3(x-1)=3x+11

___________________________________________

2x+3x-3=3x+11

-2x  -11        -2x -11

-7=1x

x=7

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ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:

Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)

Hypotenuse = √2 units.

So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.

Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

AB = \frac{10}{\sqrt{2}}

= \frac{10\sqrt{2}}{\sqrt{2}\sqrt{2}} to rationalize the radical

= \frac{10\sqrt{2}}{2} = 5\sqrt{2}

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