we know that
<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
Let
a,b,c------> the length sides of a triangle
The theorem states that three conditions must be met
<u>case 1)</u>

<u>case 2)</u>

<u>case3)</u>

therefore
<u>the answer is the option</u>
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer: T (The first option).
Step-by-step explanation:
1. By definition, coplanar points are three or more points that are in the same plane.
2. Based on this information, as you can see in the figure attached, the points A, C, D, E, S and U are coplanars because they are in the same plane, which is: ACDE.
3. Therefore, you can conclude that the point T is not coplanar with points A, C and D because this is not in the plane ACDE.
B bc the coefficient is greater than 1. if, for example it was 0.5 it would be a
Answer:
15N + 21
Step-by-step explanation:
We are given that,
Amount of carpet bought by Peter = N meter²
The cost per meter square of the carpet = $15
So, the cost of 'N' meter square of carpet = 15N dollars.
Also, the delivery charge for the carpet = $21
Thus, the total cost of the carpet is given by,
Total cost = Cost per square meter + Delivery charge
i.e. Total cost = 15N + 21 (in dollars).
Hence, the expression representing the cost in dollars is '15N + 21'.
B. Just find the percentage to see if it is correct

It equals about .3356, but multiply it by 100 to get its percentage which is about 34%. So yes it is correct.
C.

Simplified would be a ratio of

So they would be incorrect
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