Answer:
18
Step-by-step explanation:
There are 6 dots. The number of ways we can select 3 from 6 is:
₆C₃ = 6! / (3! (6−3)!)
₆C₃ = 6! / (3! 3!)
₆C₃ = 6×5×4 / (3×2×1)
₆C₃ = 20
However, 2 of these combinations are lines, not triangles.
So there are 18 possible distinct triangles.
Answer:
length = 15 feet.
Step-by-step explanation:
This paper is 15 feet across on any side. Who will deliver this monster?
Area = s^2 where s is the length of 1 side.
Area = 225 feet^2 (You sure this isn't inches).
s^2 = area
s^2 = 225 Take the square root of both sides of the equation.
sqrt(s^2) = sqrt(225)
s = 15
<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>
and 
<h3>Step-by-step explanation:</h3>
Recall that Angles that are supplementary to each other add up to 
.
Let 
be the measure of the supplementary angle.
If an angle is 
more than its supplementary angle, the measure of that angle is 
. The sum of both angles are expressed 
but since the have to add to 
as they are supplementary, 
.
Solving for :
Since the other angle measures , we can plug in the value of to find the measure of the angle.
Evaluating :
The measure of the angles are and
