What is the measure of A

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

           (Vertically opposite angles)

             (Congregant angles)

Using exterior angle theorem in triangle ABC, we get

Isolate the variable term x.

Now, the measure of angle A is:

Therefore, the correct option is B.

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:

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: