The central angle of the hexagon is equal to 60º.
Therefore, the trigonometric relationship for the radius is given by:

Where,
a: apothema of the hexagon
c: Hexagon radius.
Clearing the radio we have:

Substituting values:

Rounding to the nearest whole number we have:

Answer:
The measure of the radius, c, rounded to the nearest inch is:
C. 14 in.
Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
<h2>ST ≅ TS</h2>
1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
- Example: a = a
- In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>
1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
- Example: RST ≅ UTS (both have S and T)
- Can be seen as RST ≅ UST as well to make their similarity more evident.
2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
See the explanation
<h2>
Explanation:</h2>
A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:
The given line is:

If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:

So a system of two linear equation that is consistent and dependent is:

<h2>Learn more:</h2>
Graph of lines: brainly.com/question/14434483#
#LearnWithBrainly
For this case we have a square whose sides are known and equal to 60 ft.
We want to find the diagonal of the square.
For this, we use the Pythagorean theorem.
We have then:
Answer:
from home to second base it is about:

Answer:
2.718 28...
Step-by-step explanation:
the value of e use in solving logarithm is 2.718