Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.
Method.
The exterior angles of a regular figure add up to 360°.
Step One
Find out the size of the exterior angles of a regular pentagon.
There are 5 such angles. They add up to 360°
5x = 360 Divide by 5
x = 360 / 5
x = 72°
Step Two
Find out the value of the interior angles of a pentagon.
Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180° Subtract 72 from both sides.
Interior Angle = 180° - 72°
Interior Angle = 108°
Step Three
Solve for y.
There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°
y + 3*interior angles = 360°
y + 3*108 = 360
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°
Answer:
He will save 24 dollars.
Step-by-step explanation:
Jamie can only buy 5 tickets priced at $30 total because if he buys one more he is no longer spending less than $36
Answer:
Each person would pay $15.71
Step-by-step explanation:
First we can calculate how much everyone ate by multiplying the bill amount by 120% (20% tip and 100% of the bill).
$52.35 * 120% = $62.82
Now to find out how much each pays, we have to divide that cost by the number of people (4).
$62.82/4 = $15.71
