Recall the Pythagorean identity,
Then we can rewrite the equation as
Factorize the left side.
Then we have
Solve for . We get two families of solutions:
and
(where is any integer)
The sum of those angles in a hexagon have to add up to equal 720. You have the means to find the 3 angles that are unmarked and undefined, leaving you only with z. z = 114. If you can't figure out how to find those other angles besides z, we can talk, but for all intents and purposes, you got your z of 114.
-21x+31 this is the answer you were looking for
Answer:
The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR
Step-by-step explanation:
Given DF/PR = FE/RQ = 3/2
The Side Side Side, SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar
Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.
If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.