Olivia does chores every Saturday morning. She spends of her time cleaning her room. Of the remaining of her time, she spends of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?

4/7 of her total time cleaning the kitchen

Step-by-step explanation:

Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]

Let

x = her total time

Room cleaning = 1/3x

Time remaining = 2/3x

Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.

Kitchen cleaning = 6/7 of 2/3x

= 6/7 * 2/3x

= (6*2)x/(7*3)

= 12/21x

= 4/7x

Olivia spent 4/7 of her total time cleaning the kitchen

(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