Answer:
2
-1
x=4,y=11 (same in both equations)
Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Answer:
C; Substitution property
Step-by-step explanation:
Here, we want to find the justification that justifies the written equation;
If PQ + RS = PS
and RS = XY
then PQ + XY = PS
What we simply did is to substitute RS for XY in the second equation;
The correct answer is Substitution property
It can be fully referred to as the substitution property of equality.
What it simply means in a nut shell is that since XY and RS are equal, then in any addition or arithmetic equation, we can make a substitution of XY for RS since they are equal to each other
Suppose the original function equation is y=kx+b
New equation is y=k(x-4)+b-9