Given: m∠BAC=46°
m∠CBA=54°

Part I: Use the given information to determine
m∠DEC. Show all of your work.

Part II: Use complete sentences to explain the steps necessary in solving for m∠DEC. Justify your explanation by including all theorems, postulates, or definitions used.

Marie drew the triangle shown. she wants to draw a second triangle that is different from this one. use the drop-down menus below to complete the statements about the second triangle.

Asilkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their cocoons and combined into aa single thread with a typical length of 300 yards. choose a reasonable number of silk fibers in a thread write an equation to find the total length of the silk fibersused in 300 yards of the thread

Abiologist is recording the loss of fish in a pond. he notes the number of fish, f, in the pond on june 1. on july 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on june 1. which equation represents this situation? a. f – 52 = 63 b. f – 63 = 52 c. 63 – f = 52 d. f – 63 = –52