AD¯¯¯¯¯, BD¯¯¯¯¯, and CD¯¯¯¯¯ are angle bisectors of the vertex angles of △ABC. AG=5 meters and AD=13 meters. What is DF?

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Triangle A B C with three dashed rays drawn that intersect at point D. Ray C D intersects side A B. Ray B D intersects side A C. Ray A D intersects side B C. Three line segments extend from point D. Segment DE is perpendicular to side A B. Segment F D is perpendicular to side B C. Segment G D is perpendicular to side A C.

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step-by-step explanation:

351°f

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

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: