12 O 44 Madeline, Tyra, and Imogen are helping consolidate leftover pizza slices after a party. Each one of them has a box with leftovers. Madeline says the leftover slices in her box form a 203° angle . Tyra says the leftover slices in her box form a 59 After hearing those descriptions from Madeline and Tyra, Imogen wonders if the leftover slices would all fit into one box (meaning one full circle of 360° or less). It is possible if the angle measure of her leftover slices is no larger than [Drop Down 1]. If each slice has an angle of 40 the maximum amount of slices Imogen can fit is [Drop Down 2]. 1 mron Down 11

Question

contestada

Respuesta :

olayemiolakunle65 olayemiolakunle65 · Answer 1 · 2021-04-18T02:21:24+02:00

Answer:

i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]

ii. The maximum number of slices that Imogen can fit is 2.

Step-by-step explanation:

The leftover in Madeline's box forms angle = 203°

The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]

Sum of angles formed = 203° + [tex]59^{o}[/tex]

= [tex]262^{o}[/tex]

Given that one box = 1 full circle of 360°. Then,

the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]

= [tex]98^{o}[/tex]

Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].

If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]

= 2 [tex]\frac{9}{20}[/tex]

= 2.45

The maximum number of slices that Imogen can fit is 2.