Laura will go for a run during her lunch break if the temperature is between 6 0 ∘ F 60 ∘ F60, degrees, start text, F, end text and 8 0 ∘ F 80 ∘ F80, degrees, start text, F, end text. The average speed, S SS, in miles per hour, at which Laura runs is dependent on the temperature, t tt, in degrees Fahrenheit ( ∘ F ) ( ∘ F)left parenthesis, degrees, start text, F, end text, right parenthesis, at the start of her run and can be modeled by the function S ( t ) = 6 + 0.1 ( 80 − t ) S(t)=6+0.1(80−t)S, left parenthesis, t, right parenthesis, equals, 6, plus, 0, point, 1, left parenthesis, 80, minus, t, right parenthesis. The distance, D DD, in miles, that she can run in 30 3030 minutes given that her average speed is x xx miles per hour can be modeled by the function D ( x ) = 0.5 x D(x)=0.5xD, left parenthesis, x, right parenthesis, equals, 0, point, 5, x.

answer: what

step-by-step explanation:

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:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc