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:
The rational form of the given number 0.1777 =
Step-by-step explanation:
The rational number is expressed as a number on the form of
Now,here the given number in decimal form = 0.1777
To remove the decimal, firstly count the number of digits AFTER DECIMAL.
Here, number of digits after decimal = 4
SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.
Hence, the rational form of the given number 0.1777 =