Answer:
a)
The point that is equidistant to all sides of a triangle is called the <u>incenter</u>.
The incenter is located at the intersection of bisectors of the interior angles of a triangle.
b)
The point that is equidistant to all vertices of a triangle is called the <u>circumcenter</u>.
The circumcenter is located at the intersection of perpendicular bisectors of the sides of a triangle.
c)
<em>See the attachment</em>
The blue lines and their intersection shows the incenter.
The red lines and their intersection shows the circumcenter.
As we see the red point- the <u>circumcenter </u>is closer to vertex B.
Answer:
5 kg
Step-by-step explanation:
To solve this problem, we can use the rule of three.
In fact, we know that:
- 1 kilogram is equivalent to 2.2 pounds
- The ratio between the mass in kilograms and in pounds is constant for every value of the mass
- Therefore, the mass in kilograms corresponding to 11 pounds can be found by writing the following equation:

Where
x is the mass in kilograms corresponding to 11 pounds.
Solving the equation for x, we find:

Let the two numbers be x and y.
x + y = 86
+
x - y = 12
_________
2x + 0 = 98
__________
2x = 98
x = 98/2
x = 49
From x + y = 86
49 + y = 86
y = 86 - 49
y = 37
The numbers are 49 and 37.
Answer:
Sorry i have forgotten about this, sorry i couldn't answer this