Will give you a brainiest 10 points! find the value of r so that the line through (2, -3) and (-4, r) has a slope of -1/2

r = 0.

Step-by-step explanation:

The slope = (y2 - y1) / (x2 - x1)

So  (r - (-3)) / (-4-2) = -1/2

(r + 3) / -6 = -1/2

2(r + 3)  = 6

2r + 6 = 6

2r = 6 - 6 = 0

r = 0  (answer).

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180