Quadrilateral ABCD is inscribed in circle O.

Mathematics

2 answers:

creativ13 [48]3 years ago

7 0

Opposite angle of a quadrilateral add up to 180 degrees.

This means Angle A plus Angle C equal 180.

We can solve for X using that, then solve for Angle B.

2x-7 + x +4 = 180

Simplify:

3x -3 = 180

Add 3 to each side:

3x = 183

Divide both sides by 3:

x = 183 /3

x = 61

Now we know x, replace x with 61 in the equation for Angle B:

Angle B = 2x+3 = 2(61) +3 = 122 +3 = 125 degrees.

Monica [59]3 years ago

4 0

I encourage everyone taking this test to take my word that it's 125.

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Nastasia [14]

Hey there! I'm happy to help!

Lines that are parallel have the same slopes because they are increasing or decreasing at the same rate and therefore will never bump into each other.

We see that y=2 has a slope of 0 because there is no x that we can see in the equation. This is just a flat line.

If the line we are looking for is flat; it stays at the same y-value the entire time. We see that the y-value for this line of ours is -6. Therefore, the answer is C. y=-6.

I hope that this helps! Have a wonderful day!