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].
If you would like to know what is the machine's value after 5 years, you can calculate this using the following steps:
1 year: $500,000 - 10% * $500,000 = 500,000 - 10/100 * 500,000 = $500,000 - $50,000 = $450,000
2 years: $450,000 - 10% * $450,000 = 450,000 - 10/100 * 450,000 = $450,000 - $45,000 = $405,000
3 years: $405,000 - 10% * $405,000 = 405,000 - 10/100 * 405,000 = $405,000 - $40,500 = $364,500
4 years: $364,500 - 10% * $364,500 = 364,500 - 10/100 * 364,500 = $364,500 - $36,450 = $328,050
5 years: $328,050 - 10% * $328,050 = 328,050 - 10/100 * 328,050 = $328,050 - $32,805 = $295,245
The correct result would be $295,000.
If you find the least common multiple of both numbers, this will give you the information you will need to get your answer. Each revolution would include all teeth going around. The list of multiples for 24 are 24, 48, 72, 96, 120. The list for 40 are 40, 80, 120. This means at 120, they would be in the same place again. For the first gear to get to 120, it would take 5 rotations the fifth number in the list of multiples for 24). I hope this helps!
If you would like to find the inequality to solve to find the amount that each member should raise to meet the goal, you can do this using the following steps:
x ... the amount of money that each member should raise
x * 23 members + $750 >= $1,800
x * 23 + 750 >= 1,800
x * 23 >= 1,800 - 750
x * 23 >= 1,050 /23
x >= 1,050 / 23
x >= $45.65
The correct result would be: <span>x * 23 members + $750 >= $1,800.</span>
Answer:
A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
