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irina [24]
3 years ago
10

Line n intersects lines 1 and m, forming the angles shown in the diagram below.

Mathematics
1 answer:
bija089 [108]3 years ago
7 0

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

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Xy′ = √(1 − y2 ), y(1) = 0
Ulleksa [173]

Answer:

The particular solution is y=\sin (\ln|x|) .

Step-by-step explanation:

The given differential equation is

xy'=\sqrt {1-y^2}

It can be written as

x\frac{dy}{dx}=\sqrt {1-y^2}

Use variable separable method to solve the above equation.

\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx

Integrate both sides.

\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx

\sin^{-1} y=\ln|x|+C            .... (1)

It is given that y(1)=0. It means y=0 at x=1.

\sin (0)=\ln|1|+C

0=0+C

0=C

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

\sin^{-1} y=\ln|x|+0

Taking sin both sides.

y=\sin (\ln|x|)

Therefore the particular solution is y=\sin (\ln|x|) .

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3 years ago
I need help but not urgent but urgent!!
Mars2501 [29]

Answer:

8.6 mile

Explanation:

\sf equation \ follows : \ \ \  d = 1.2116\sqrt{h}

  • d represents the distance a person can see.
  • h represents the height above the ocean.

what the captain sees:

\hookrightarrow \sf d_c = 1.2116\sqrt{15}

what the sailor sees:

\hookrightarrow \sf d_s = 1.2116\sqrt{120}

Difference between them:

\sf \rightarrow 1.2116\sqrt{120} \  - \   1.2116\sqrt{15}

\sf \rightarrow 8.58

\sf \rightarrow 8.6      (rounded to nearest tenth)

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I think the answer is C 2/3
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9 ⋅ (−4) ⋅ (−4) ⋅ (−7) = ?<br> 20 pts <br> brainlyiest if correct
forsale [732]

Answer:

The answer is -1008, it's in the comments

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3 years ago
What is 9.562359123571283578 rounded to the nearest hundredth?
Katyanochek1 [597]
9.56 because you don't round up when two is the next number. (The hundredths place is the second number after the decimal, where the 6 is in the original number.)
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3 years ago
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