Answer:
Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2
Step-by-step explanation:
PA BRAINLIEST
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.")
There are 5^5 students on the school and 5^2 students per class.
So, think:
1 class ----------- 5^2 students
x classes ---------- 5^5 students
Multiply:
1 . 5^5 = x . 5^2
So,
5^5 = x.5^2
x = 
x = 
x = 
x = 125
There are 125 classes.
Answer:
b) f(x)=-5x+100
Step-by-step explanation:
i guessed ngl.. but it was right.
By direct division, we will find that the length of each piece of rope is 10.5m
<h3>
How to perform the division?</h3>
So e start with a 42 meter long rope and we cut it into 4 equal parts, then we know that each one of these pieces will have a length equal to:
L = (42m/4)
To perform that division, you can see that 42<u> is not a multiple of 4</u>, so we can write:
L = (40m + 2m)/4 = (40m/4) + (2m/4)
The first quotient is just equal to 10m, while the second one is:
(2m/4) = (1m/2) = 0.5m
Then we have:
L = (40m/4) + (2m/4) = 10m + 0.5m = 10.5m
Each piece of rope has a length of 10.5m
If you want to learn more about divisions, you can read:
brainly.com/question/7068223