The unknown number is 1/2 or 0.5.
ex: 4x+6=8
The least common multiple (LCM) can be determined by factoring out the terms first,
165xy = (3)(11)(5)(x)(y)
77x³y = (7)(11)(x)(x)(x)(y)
Copy the factors writing off the repeated factors only once,
LCM = (3)(11)(5)(x)(y)(7)(x)(x)= 1155x³y
The answer is 1155x³y (first choice)
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Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[Angle sum property]
According to Law of Sines, we get
Using the Law of Sines, we get
Substituting the given values, we get
Approximate the value to the nearest tenth of a foot.
Therefore, the length of PQ is 2.4 ft.
Answer:
We know that, two quantities are proportional when they vary directly with each other.
i.e. quantities x and y are proportional when they have the relation y = kx, where k is any constant called constant of proportionality.
Since, the quantities are in relation y = kx.
So, for x = 0 we get that the value of y = 0.
As, the point ( 0,0 ) satisfies this relation i.e. it is a solution of y = kx.
Hence, in proportional relationship, the graph will pass through ( 0,0 ).
