The number of people is extra information, all you need is 153.82*2 (for the trip and back) * .645, which I believe will be $198.43, but it might be best to check that math to be safe
Keep in mind that:
- the sum of the interior angles of every triangle in existence is 180 degrees
- the base angles of isosceles triangles are congruent
With this information, I have created a diagram. I encourage you to always draw a diagram when you can - it aids in the solving process.
Now, to find <em>a</em>, set the measures of the interior angles equal to 180.
(<em>a</em> + 15) + 7<em>a</em> + 7<em>a</em> = 180
Solve for <em>a</em>.
<em>a</em> + 15 + 7<em>a</em> + 7<em>a</em> = 180
15 + 15<em>a</em> = 180
15<em>a</em> = 165
<em>a</em> = 11
Find the angle measures by plugging 11 for <em>a</em>.
<em>a</em> + 15
(11) + 15
26
7<em>a</em>
7(11)
77
Check your work by adding the angles measures.
77 + 77 + 26 = 180
<h3>
Answer:</h3>
<em>a</em> = 11
Each base angle measures 77 degrees and the vertex angle measures 26 degrees.
Answer:
Dylan's conclusion is not valid, because Dylan did not account for the other items purchased, only bagels.
In this case, Dylan didn't measured equally all items, just bagels, which means that he didn't established a comparative about each item purchase to calculate the popularity. To set a costumer favorite product, Dylan must drive a proper investigation, recollecting data from several days and different products, that why he will be able to say "bagels are the most popular product", or "pies and cakes is the item most purchased on Tuesdays". Actually, this is the correct way to collect all data to define a marketing plan, which will help the bakery profitability.