If you turn the ratio 1:3 into a fraction it would be 1 over 3 I hope this helps
Answer:
627
Step-by-step explanation:
<h3>
Answer:</h3>
∠BDC and ∠AED are right angles
<h3>
Step-by-step explanation:</h3>
Because ∠C ≅ ∠C, the additional bit of information above can be used to show AA similarity.
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None of the other offered choices says anything about <em>both</em> triangles. In order to show similarity, you need information about corresponding parts of the <em>two</em> triangles. Information about one triangle alone is not sufficient.
Answer:
This will explain it
Step-by-step explanation:
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
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The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
Answer:
Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus
Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.
Now we have 
, the height of the triangle y is easily found by
Solving for y
The value of z can be found by using
The area of the triangle is
The area of the hexagon is 12 times the area of the triangle, thus
