Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:

Applying distributive property,

Line 2:

Line 3:

Applying distributive property,

Line 4:

re-arranging,

Now we have rewritten all the lines in the form
, where m is the slope. By comparing the values of m, we see:

Therefore, the lines which are parallel are line 1 and line 4.
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Answer:
36 yards
Step-by-step explanation:
The triangle is a 3-4-5 right triangle with a scaling factor of 12. No complicated Pythagorean theorem has to be used in this case.
60/12 = 5
48/12 = 4
3 is the only base number remaining.
3(12) =36
Answer:
Step-by-step explanation:
Sinθ = 
If, sinθ = -
and π < θ < 
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = 
tan(210°) = 
csc(210°) = 
sec(210°) = 
cot(210°) = √3
Answer:
120
Step-by-step explanation:
10*24=240
240/2=120