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2 years ago

This circle is circumscribed about quadrilateral ABCD. What is the value of x?

Mathematics

1 answer:

worty [1.4K]2 years ago

6 0

Answer:

The value of x is 56°

Step-by-step explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :

$97 + x + 27 = 180$

$x + 124 = 180$

Next you have to solve it by substracting 124 to both sides :

$x + 124 - 124 = 180 - 124$

$x = 56$

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2 years ago

(-4, -7) and (-6, 9) in slope-intercept form. Show work

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Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

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Putting slope in general equation

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Putting (-6,9) in the equation

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Putting the value of b we get

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Hence,

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Answer:

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