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Nikitich [7]
3 years ago
11

Find the value of x and simplify completely.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

Answer:

<h2>x=9√10</h2>

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

\frac{leg}{part}  =  \frac{hypotenuse}{leg}  \\ or \:  \frac{x}{27}  =  \frac{3 + 27}{x}  \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \:  {x}^{2}  = 810 \\ or \:  {x}^{2}  = 81 \times 10 \\ or \:  {x}  =  \sqrt{81 \times 10}  \\ or \: x =  \sqrt{81}  \times  \sqrt{10}  \\ or \: x =  \sqrt{ {(9)}^{2} }  \times  \sqrt{10}  \\  \: x = 9 \sqrt{10}

Hope this helps...

Good luck on your assignment..

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7d + d - 4d - 7 = 5d

8d - 4d - 7 = 5d

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5d = 4d - 7

Subtract sides 4d

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Thus the correct answer is Option three.

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8 0
3 years ago
If ax^3+9x^2+4x-10 when divided by x-3 leaves the reminder 5,then a=​
FinnZ [79.3K]

Let f(x) = ax³ + 9x² + 4x – 10

g(x) = 0⇒x - 3 = 0

⇒ x = 0 + 3

⇒ x = 3

On dividing f(x) by x - 3, it leaves a remainder 5.

Now keeping, f(3) = 5

⇒a(3)³ + 9(3)² + 4(3) - 10 = 5

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⇒ 81 + 12 - 10 - 5 = 27a

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3 years ago
BC<br> Round your answer to the nearest hundredth.<br> А<br> 65°<br> 6<br> B<br> ?
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Answer:

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Step-by-step explanation:

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Answer:

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Read 2 more answers
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