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jonny [76]
3 years ago
15

Match the equation with its corresponding solution for x.

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

3x - 3(x + 1) = 3     Distribute/multiply -3 into (x + 1)

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

3x - 3x + 1 = 3

1 = 3

Your answer is no solution because the variable "x" is canceled out and 1 ≠ 3

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A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes
Alenkinab [10]

The relationship between the sides MN, MS, and MQ in the given regular heptagon is \dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}

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The area of the garden planted with flowers

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By sine rule, we have

\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}

sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})

\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}

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The area of triangle, MSQ, is given as follows;

Area \ of \Delta MSQ = \dfrac{1}{2}  \times  43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}

The area of the of the garden plated with flowers, A_{req}, is given as follows;

A_{req} = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

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The area of the of the garden plated with flowers, A_{req} ≈ <u>923.558 m²</u>

Learn more about figures circumscribed by a circle here:

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