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3 years ago

Quadrilateral ABCD is inscribed in a circle.

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

$m\angle A=\boxed{135}\,^\circ$

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary, so ...

m∠A + m∠C = 180°

Substituting the given expressions, we have ...

(3x +6)° + (x+2)° = 180°

4x +8 = 180 . . . . . . collect terms, divide by °

x +2 = 45 . . . . . . . . divide by 4

3x +6 = 135 . . . . . . multiply by 3

This is the value of angle A in degrees, so ...

m∠A = 135°

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Given the differential Equation y'+2y=2e^x ;solve this equation using the integration factor; solve for y to get the general sol

SCORPION-xisa [38]

$y'+2y=2e^x\Longrightarrow y'=2e^x-2y$

If $f'(x)=g(x)$ then $y=\int{g(x)dx}$

So we extract,

$y=\int{2e^x-2x}dx$

Which becomes,

$y=2e^x-x^2+C$

Hope this helps.

r3t40

5 0

3 years ago

Plzzz help I am stuck

ser-zykov [4K]

Answer:

don't worry I'm on my way step bro ! where'd you get stuck ?! (;

6 0

3 years ago

Please help.. no links

neonofarm [45]

Answer:

Its 9.0 units

Step-by-step explanation:

For the side mostly to the left, its gonna be 3 units, since we can easlily count it

Now, for the diagonals, we have to use the formula for the area of a triangle, which is (l * w) / 2 = a.

For the bottom side, its 3 along the x axis and 1 along the y axis. 3 * 1 is 3, now divide that by 2 and you got 1.5

Now, for the right side, its 5 on the y, 1 on the x. Multiply 1 by 5, you got 5. Now divide that by 2 and you have 2.5

Finally, for the top side, its 4 on the x, and 1 on the y. 4 * 1 is 4, divided by 2 and its 2.

Alright, now we have to add 'em all together. 3 + 1.5 + 2.5 + 2 is 9 units

Theres your answer :)

6 0

2 years ago

Please Please Help Me In These Math Questions!!!!’

Harman [31]

Answer:

m∠JLN = 42°

m∠MLK = 90°

m∠KLO = 42°

m∠JLO = 138°

m∠AGE = 160°

Step-by-step explanation:

m∠JLN = $90-48=42$ °

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO = $180-42=138$ °

For the second question, things become somewhat more complex.

We know that ∠GHD = $2x$ ° and ∠AGH $(x+15)$ °.

You correctly calculated that $x=15$ °.

∠AGE is equal to both $180-(x+15)$ ° and $180-2x$ °. Either equation will work just fine.

∠AGE = $180 - (15 + 15) = 180 - 30 = 160$ °

So m∠AGE = 160°

6 0

3 years ago

What's the length of BD and how?

Advocard [28]

I believe it is 4 or 5

7 0

3 years ago

Quadrilateral ABCD ​ is inscribed in a circle.

Quadrilateral ABCD is inscribed in a circle.