If the area of the circle below is 10 in2 what is the area of the shaded sector (the shaded area is 90 degrees)

A) Area of sector = 2.5 in².

Step-by-step explanation:

Given  : If the area of the circle below is 10 in².

To find : What is the area of the shaded sector .

Solution : We have given that

Area of the circle = 10 in².

Formula of area of circle = .

= 10

=

Area of sector =

Plugging the values

Area of sector =  * 10.

Area of sector = 2.5 in².

Therefore, A) Area of sector = 2.5 in².

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'.