the ratio of the angle measures of a pentagon is 4:5:3:8:7. what is the measure of the smallest angle. help pleasee

geometry

The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest

The sum of the interior angles of a pentagon is 180(5-2) = 540º

so

4x + 5x + 3x + 8x + 7x = 540

solve for x and sub into 3x

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

d

step-by-step explanation:

i used the pitagoras theoreme