The measure of angle B is equal to 60 degrees.
In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.
Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.
A + B + C = 180
2x + 3x + 80 = 180
5x + 80 = 180
5x = 100
x = 20
Now that we have the x value, we can plug into the equation for B.
B = 3x
B = 3(20)
B = 60
The two original functions are 4x+9y=7 and 4x-9y=9
To use the combination method, add all the values of the two equations together to cancel out one of the variables
4x+4x+9y-9y=7+9
8x=16
8x/8=16/8
x=2
4(2)+9y=7
8+9y=7
8-8+9y=7-8
9y=-1
y=-
Answer:
Factoring
Step-by-step explanation:
x^2 + 7x = x(x + 7) = 0
So
x = 0 or x = -7
The measure of RSQ is 24 degrees
Answer:
1210 acres
Step-by-step explanation:
Given data
let the old farmland be x acres
new farmland = 968 acres
therefore
let us find 20% of the old farmland
=20/100x
=0.2x
Hence
968+0.2x=x
collect like terms
968=x-0.2x
968=0.8x
x= 968/0.8
x=1210 acres
