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3 years ago

Quadrilateral ABCD is inscribed in a circle. Angle B measures (x – 5)°, and angle D measures (3x + 5)°. Find x.

2 answers:

8 0

Angle B is opposite to angle D.
Since quadrilateral ABCD is inscribed in a circle, it’s a cyclic quadrilateral.
The sum of the opposite angles of a cyclic quadrilateral is 180 degrees.
(x-5)+(3x+5)=180
4x=180
x=180/4
x=65 degrees

zepelin [54]3 years ago

7 0

Answer: x = 45

Step-by-step explanation:

Quadrilaterals inscribed in a circle have all four vertices on the circle.

A unique property of these types of quadrilaterals is their angle measures: Opposite angles of inscribed quadrilaterals will always add up to 180 (they are supplementary angles).

As such, the inscribed quadrilateral ABCD has opposite angles at AC and BD. Because the quadrilateral is inscribed, this means that the angles A + C and the angles B + D will equal 180 degrees. We can represent the angles measures for B and D in an equation where B + D = 180:

$(x-5)+(3x+5)=180\\\\4x = 180\\\\x=45$

When x = 45, the angle B is 40 degrees and the angle D is 140 degrees.

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Use the chain rule to compute the second derivative:

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Then the second derivative is

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Then plug in π/4 for <em>x</em> :

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3 years ago

What is equivalent to 6 + 3 x 9 - 4

STALIN [3.7K]

Answer:

Step-by-step explanation:

6 + 3 x 9 - 4

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33 - 4

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3 years ago

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3 years ago

a man is 18 years older than his son. 3 years ago he was 4 times as old as his son how old is the man now

Andru [333]

Answer:

The man is 27 years old.

Step-by-step explanation:

You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
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Then, solve the system of equations:
x = y + 18
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2 years ago

PLEASE HELPPP ITS DUE TODAY ILL GIVE U A GOOD REVIEW THINGY

mariarad [96]

I think your answer would be G:)

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3 years ago