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Yanka [14]
3 years ago
9

7(x−5)−9=334 what is the answer of x

Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

\boxed {x = 54}

Step-by-step explanation:

Solve for the value of x:

7(x - 5) - 9 = 334

-Use <u>Distributive Property</u>:

7(x - 5) - 9 = 334

7x - 35 - 9 = 334

-Combine like terms:

7x - 35 - 9 = 334

7x - 44 = 334

-Add both sides by 44:

7x - 44 + 44 = 334 + 44

7x = 378

-Divide both sides by 7:

\frac{7x}{7}= \frac{378}{7}

\boxed {x = 54}

Therefore, the value of x is 54.

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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
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6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

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The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

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Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

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Step-by-step explanation:

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