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3 years ago

Quadrilateral ABCD is inscribed in this circle.

Mathematics

2 answers:

Fofino [41]3 years ago

7 0

By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary. This means that $\angle D \text{ and } \angle B$ are supplementary, or add up to 180°. This gives us the equation
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that $m \angle D=3(35)+9=114
\\m \angle B=2(35)-4 = 66
\\m \angle A=2(35) + 3=73$
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°

enot [183]3 years ago

6 0

Answer:

62 is the answer for my k12 freinds

Step-by-step explanation:

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3 years ago

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slamgirl [31]

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expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

Solution:

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

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First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all

= 2 x 2 x 5 x 3

= 4 x 15 = 60

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3 years ago

Solve for x .problem down below

AleksAgata [21]

A: no solution!

first, simplify each side of the equation.

3x + 5 - 10x simplifies to -7x + 5.
8 - 7x - 12 simplifies to -7x - 4.

then, add +7x on both sides of the equation to get the variable alone. if you add 7x to each side, you get left with 0.

so, that leaves 5 = -4 which is not true. so, that means there is no solution.

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3 years ago

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IrinaVladis [17]

Answer:

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Step-by-step explanation:

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3 years ago

Quadrilateral ABCD ​ is inscribed in this circle.

Quadrilateral ABCD is inscribed in this circle.