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ankoles [38]
3 years ago
13

Given: EL- tangent, EK- secant Prove: EJ·LK = EL·LJ

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

This is possible.

Step-by-step explanation:

We can say that m<E=m<E, because of the Reflexive Property

Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.

With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).

Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), \frac{LK}{LJ} =\frac{EL}{EJ}.

With this ratio, we can cross multiply to get the desired result

EJ·LK=EL·LJ

Hope this helps with your RSM problem

Yup, i caught ya.

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USPshnik [31]

the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 9&60 \end{array}\implies \cfrac{x}{9}=\cfrac{100}{60}\implies \cfrac{x}{9}=\cfrac{5}{3}\implies 3x=45 \\\\\\ x=\cfrac{45}{3}\implies x=15

8 0
2 years ago
If the sum of a number and seven is doubled, the result is one less than the number. find the number
lawyer [7]
(n + 7)2 = n - 1
2n +14 = n - 1
2n - n +14 = n - n - 1
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3 years ago
Six less than 2 times “y” is 34 equation form
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2y-6=34 is the needed equation
8 0
3 years ago
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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
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iVinArrow [24]

Answer:

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(1,-0.4)

(2,0,7)

(3,-0.2)

(4,-0.6)

Step-by-step explanation:

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3 years ago
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