Answer:
C
Step-by-step explanation:
If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.
Answer:
-2
Step-by-step explanation:
Formula for slope: (y2-y1)/(x2-x1)
Plug in the given x and y values
(17-(-11))/((-9)-5)
(17+11)/((-9)-5)
28/(-14)=-2
Answer:
C. vertical
Step-by-step explanation:
The two angles are not adjacent to each other, which eliminates A and B already.
MPB and KPT, when highlighted, shows that they are vertical angles.
They got created by two intercepting lines.
Our best answer is C.
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9