Answer:
30
Step-by-step explanation:
Triangle containing 120° and y° is an isosceles triangle.
Therefore,
y° + 120° + y° = 180°
2y° = 180° - 120°
2y° = 60°
y° = 60°/2
y ° = 30°
y = 30
Answer:
One piece is 
inches and another piece is 
inches
Step-by-step explanation:
Let smaller piece length be 
Let larger piece length be 
Since total of two pieces is 43, we can write:
Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:
<em>Substituting equation 2 into equation one, we can solve for s:</em>
<em>Thus longer piece is:</em>
Answer:
Step-by-step explanation:
-3x - 21 + 2x -4
-x - 25
-(x + 25)
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
