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)
Next step is to add the two equation 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
Now plug in x=3 in equation (2) to get the value of y.
5(3) + y = 10
15 + y =10
15 + y - 15 = 10 - 15 Subtracting 15 from each sides.
y = -5
So, x=3 and y =-5
Answer:
D
Step-by-step explanation:
Numbers that cannot be expressed as fractions are considered irrational numbers
π cannot be expressed as fraction therefore it is an irrational number
√64 = 8 which can be expressed as a fraction therefore √64 is not an irrational number
is already expressed as a fraction therefore B is not the answer
.6 can be expressed is 6/10 therefore C is not the answer
So 5/8 inches to milimeters
we know that 1 in=2.54 cm so
5/8 in times 2.54= 1.5875 cm
1 cm=10 mm
1.5875 cm times 10=15.875mm aprox 16 mm, but best to go smaller since it won't fit if bigger
answer: 16mm (my recomendation would be 15mm)
Answer:
Angle BPQ = 64°
Step-by-step explanation:
4x + 12 +2x = 90
6x + 12 = 90
- 12 -12
6x = 78
x = 13°
BPQ = ((4(13) + 12)°
(52 + 12)°
64°
Answer: E. $744
Step-by-step explanation:
Think of all 5 days and the previous day doubled
So
24
48
96
192
384
All together is $744.
