The answer is <span>y=-4x+12 because they just moved the 4x
</span>
Answer:
0.6820
Step-by-step explanation:
Given data
Angle= 47°
Hence we want to find
cos 47°
From calculator
cos 47°=0.681998
to 4 dp
0.6820
Answer:
The number of miles Mark runs in each track be 
Step-by-step explanation:
Let us assume that the number of miles Mark run in each track meet be x.
As given
Mark ran 875 miles this year in the track club.
Mark ran in 52 track meets and ran the same number of miles in each.
Than the equation becomes
52 × x = 875


Therefore the number of miles Mark runs in each track be 
One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel
<h3><u>Solution:</u></h3>
Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.
We have to prove that the lines are parallel.
If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.
Now, the 1st angle will be 1/6 of right angle is given as:

And now, 15 degrees is 11 times smaller than the other
Then other angle = 11 times of 15 degrees

Now, sum of angles = 15 + 165 = 180 degrees.
As we expected their sum is 180 degrees. So the lines are parallel.
Hence, the given lines are parallel