A ray is basically a line that has a "fixed point" on one end (this would be represented by a shaded circle on one end) and the opposite end goes to infinity (this would be represented by an arrow). The first image below is an example of a ray.
When writing rays out you must write it like in the third image below. Note that there is a "ray" on top of the "letters". The letter that signifies the end point (In the example below this would be "A") is under the side that has NO arrow symbol, and the letter that signifies the continues end is under the side of the ray that HAS the arrow. In other words the "formula" for writing out rays is:
End point; infinite end
We must find four rays with the endpoint E. This means that the "fixed point" must be E and the other end must continue indefinitely.
In the second image below I have colored each ray with the end point E in a different color.
First we have the ray EA (I don't know how to make the ray symbol on here so just assume that above EA the arrow looks like so: --->)
Next is ray EG (again the symbol above EG is --->)
Next is the ray ED (symbol above ED is --->)
Finally EF is a ray with the end point E (symbol above EF is --->)
When looking at the answer choices the only two that even use the correct symbol is B and C.
The issue with option C is that the end point (E) doesn't come first when they wrote it out.
That makes the answer B!
Hope this helped!
~Just a girl in love with Shawn Mendes
~Just a girl in love with Shawn Mendes
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
It would be irrational, as it has non repeating digits to the right of the decimal.
Answer:
1.$3÷12=0.25
each egg would cost 25 cents
2.12×18=216
216×25=5,400