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rewona [7]
3 years ago
10

If BC = 4 and CD = 27, find AC.

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0
\Delta ABC\sim\Delta DAC\\\\then\\\\\frac{|AC|}{|BC|}=\frac{|CD|}{|AC|}\\\\|AC|^2=|BC|\cdot|CD|\\\\|AC|^2=4\cdot27\\\\|AC|=\sqrt{4\cdot27}\\\\|AC|=\sqrt4\cdot\sqrt{27}\\\\|AC|=2\cdot\sqrt{9\cdot3}\\\\|AC|=2\sqrt9\cdot\sqrt3\\\\|AC|=2\cdot3\sqrt3\\\\|AC|=6\sqrt3
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Find the value of x plz help
Nookie1986 [14]

Answer:

x ≈ 7.2

Step-by-step explanation:

Based o. The secant-tangent theorem, we would have the following:

x² = (9 + 4) * 4

x² = 13 * 4

x² = 52

x = √52

x ≈ 7.2

7 0
3 years ago
Rectangle w/area of 91 has dimensions of (x+2) and (2x+3). Solve for dimensions.
Leviafan [203]

Answer:

5unit

Step-by-step explanation: since area of rectangle = length*width

Here length is (x+2) and width is(2x+3)

(x+2)(2x+3)=91

On further solving

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3 years ago
Is the equation parallel perpendicular or neither ?<br><br> y = 5/4 x+1 and y = 5/4 x-7
weeeeeb [17]

Answer:

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Step-by-step explanation:

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Both given equations are in this form, that is

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4 0
3 years ago
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Nimfa-mama [501]

Answer:

A. 3.2% faster

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Step-by-step explanation:

In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.

.32/9.63 = 3.2%

In the second, we take the difference and divide by Bolt's time.

.32/9.95 = 3.3%

And finally, in the last one, we take Hines' time and divide by Bolt's.

9.95/9.63 = 103.3%

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4 years ago
Joe has read 20% of a book. He has 16 more pages to finish. How many pages are there in the book?
andrey2020 [161]

Answer:

20

Step-by-step explanation:

16 is 80% of 20

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