Solve the inequality.

-2x – 4 < 3x + 21

a) x > 5 b) x < 5 c) x > -5 d) x < -5

C

Step-by-step explanation:

Given

- 2x - 4 < 3x + 21 ( subtract 3x from both sides )

- 5x - 4 < 21 ( add 4 to both sides )

- 5x < 25

Divide both sides by - 5, reversing the inequality symbol as a result of dividing by a negative quantity.

x > - 5 → C

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

(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