The degree measure of an exterior angle of a triangle is 27 less than ten times a number. The degree measure of one remote interior angle is 12 more than four times the number, and the degree measure of the other remote interior angle is 53 more than one-fourth of the number. What are the measures of the exterior angle and the two remote interior angles, in degrees? The exterior angle measures
degrees.
The smaller remote interior angle measures
degrees.
The larger remote interior angle measures
degrees.

answer is : muchas/tipicas

have a nice day!

~recklesschicken

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:

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c