Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + <u>44°</u> = 360°
For this topic, here are some general angle rules for polygons:
- n is the number of sides
- 180° (n – 2) = sum of interior angles of any polygon.
- 180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].
- 360° = sum of exterior angles of any polygon.
- 360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].
Answer:
product A on machine 1 would make 27 units (rounded down) 81 dollars profit.
product A on machine 2 would make 25 units (rounded down) 75 dollars profit.
product b on machine 1 would make 15 units (rounded down) 75 dollars profit.
product b on machine 2 would make 16 units (rounded down) 80 dollars profit.
Step-by-step explanation:
a1 refers to product a on machine 1
a2 refers to product a on machine 2
same rule applies for product b 1 and 2
The answer is 2. I hope this helped.
Answer:
20/18
Step-by-step explanation:
