Answer:
5a(6
-
)
Step-by-step explanation:
Given
30a
- 5
← factor out 5a from each term
= 5a(6
-
) ← in factored form
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
Answer:
-The scale drawing represents a reduction
-each side of the original is 22 in long
-the scale drawing is proportional to the original
Step-by-step explanation:
the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)
so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768
2+8+32+128+512+2048+8192+32768=43690
Answer:
110 beats per minute.
Step-by-step explanation:
Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.