Answer:
![139^o](https://tex.z-dn.net/?f=139%5Eo)
Step-by-step explanation:
Supplementary is the name of a relationship between 2 angles. If they add up to 180°, they will form a straight line and are supplementary.
![x^o+41^o=180^o\\x^o=180^o-41^o\\=139^o](https://tex.z-dn.net/?f=x%5Eo%2B41%5Eo%3D180%5Eo%5C%5Cx%5Eo%3D180%5Eo-41%5Eo%5C%5C%3D139%5Eo)
–x + y = –3 (a)
3x + 2y = 9 (b)
Lt's eliminate y , by multiplying a) by -2
-2(–x + y) = -2(–3) → +2x - 2y = +6 (c). Now add (c) to (b)
+2x - 2y = +6 (c).
3x + 2y = 9 (b)
----------- --------
5x + 0 = 15 and x = 15/5 and x = 3
To find y, plugin the value of x in any of the equation, sat (a):
–x + y = –3 (a) → -3 + y = -3; y = -3+3 → y = 0
So the solution is (3,0) Answer C
Answer:
X = .5
Step-by-step explanation:
10 × 20 = 200
10.5 × 20 = 210
Explanation:
Y = 210
210 = 20(10+X)
divide both sides by 20
10.5 = 10+X
subtract 10 from both sides
.5 = X
X = .5
Answer:
y = x+2
Step-by-step explanation:
proportional relationships are of the form
y = kx where k is a constant
y = x is proportional with k=1
y = 2x is proportional with k =2
y = x+2 is linear
Answer: 5 feet
Step-by-step explanation:
Given: The total length of the rope = 35 feet
Let the length of the shorter section be x, then the longer section would be 6x.
According to the question, we have
![x+6x=35\\\\\Rightarrow7x=35\\\\\Rightarrow x=\frac{35}{7}\\\\\Rightarrow x=5\ feet](https://tex.z-dn.net/?f=x%2B6x%3D35%5C%5C%5C%5C%5CRightarrow7x%3D35%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cfrac%7B35%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%20x%3D5%5C%20feet)
Also, ![6x= 6(5)=30\ feet](https://tex.z-dn.net/?f=6x%3D%206%285%29%3D30%5C%20feet)
Hence, the length of the shorter section = 5 feet