3)
a) incenter
b) angle bisectors
c) the incenter is equidistant from the sides of the triangle
d) ???
2)
a) orthocenter
b) altitudes
c) the distance from the vertex to to the orthocenter is two-thirds the length of the altitude
d) ???
1)
a) circumcenter
b) perpendicular bisectors
c) the circumcenter is equidistant from the vertices of the triangle
d) ???
Answer: Absolute Value
Step-by-step explanation:
The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.
<u>Examples:</u>
|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.
|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.
|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.
|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.
Answer:
see the explanation
Step-by-step explanation:
we know that
An extended ratio compares three or more numbers.
In the extended ratio a:b:c
The ratio of the first two numbers is a:b (you can write a to b or a/b)
The ratio of the last two numbers is b:c (you can write b to c or b/c)
The ratio of the first and last numbers are a:c (you can write a to c or a/c)
You don’t have enough sugar because you only have 1 2/15 pounds of sugar. 1 2/15 is less than 1 1/2.
-8x+5y= -40
First, add 8x to both sides
5y= 8x-40
Now divide both sides by 5
y= 8/5x-8
