Answer:
Parallelogram
Step-by-step explanation:
This diagram shows that the opposite sides of the figure are equal.
The sides could be 10.2 inches or 15.7 inches.
See the attached picture for the equations:
<span>Solve the system
9x = 27-9y
20x=71-9y
Let's use the "elimination through addition/subtraction method.
Multiply the first equation by -1 so as to obtain +9y:
-9x = -27 + 9y
</span><span>20x= 71- 9y
--------------------
Add these 2 equations together:
</span>-9x = -27 + 9y
20x= 71- 9y
--------------------
<span> 11x = 44
Solve this for x: x = 44/11 = 4.
Now find y by subst. 4 for x in either of the original equations.
Using the second equation: </span><span>
</span>20x=71-9y
20(4) = 71 - 9y
80-71 = -9y
9 = -9y. Then y = -1.
The solution set is (4,-1).
Answer:
100 liters of 10% solution is used and 20 liters of 40% solution is used
Step-by-step explanation:
Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X
Now
10% of X + 40% of (120-X) = 15% of 120
On solving the above equation, we get
liters
Amount of 40% solution used = 120 -X = 120-100 = 20 liters
100 liters of 10% solution is used and 20 liters of 40% solution is used
Answer:
36°
Step-by-step explanation:
By remote interior angle theorem:
b + 81° = 117°
b = 117° - 81°
b = 36°