Trapezoid JKLM is a cross section of a lampshade. The diagonals of JKLM are congruent, and the measure of ∠J is 65degrees. What is the measure of ∠L?

m∠L=?

The same as the angle for K

Focus on the left side and imagine you ride a motorcycle on the dotted path.

in both left corners you turn around 180° with exactly two rather sharp turns.

We already know that one is 65°, so the other one has to be 115°.

Hence, the angles of K and L are 115°

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:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: