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:
A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. ... This number sentence tells us that 20 is a multiple of 5 and is also a multiple of 4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
x²+24x+60=0
x²+24x+(24/2)²=-60+(24/2)²
(x+12)²=-60+144
(x+12)²=84
Answer:
Step-by-step explanation:
1/4 x 2 = 2/4
2/4 simplified = 1/2