Calculate the distance between two points (-6,8) and (-8,3) ?

d = √29

Step-by-step explanation:

Use the distance formula d = √(x2 - x1)² + (y2 - y1)²

d = √(x2 - x1)² + (y2 - y1)²

d = √(-8 - -6)² + (3 - 8)²

d = √(-2)² + (5)²

d = √4 + 25

d = √29

congruent segments

step-by-step explanation:

(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