The circumference of circle z is 84cm. what is the length of xy (the minor arc)?

21 cm

Step-by-step explanation:

The circumference is 84

90degrees  out of 360 degrees in a circle is 90/360 = 1/4

The arc is 1/4 of the circle, so it is 1/4 of the circumference

1/4 * 84  = 21 cm

A

Step-by-step explanation:

The length of the minor arc XY can be calculated using

XY = circumference × fraction of circle

    = 84 × = 84 × = 21 cm → A

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

i need a picture

step-by-step explanation: