Answer:
The function 
is continuous at x = 36.
Step-by-step explanation:
We need to follow the following steps:
The function is:
The function is continuous at point x=36 if:
- The function
exists at x=36. - The limit on both sides of 36 exists.
- The value of the function at x=36 is the same as the value of the limit of the function at x = 36.
Therefore:
The value of the function at x = 36 is:
The limit of the is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.
For this case:
Since
And
Then, the function is continuous at x = 36.
Answer:
It is supplementary.
Step-by-step explanation:
Supplementary angles are angles that have two angles adding up to 180°. You can tell by just finding the straight line that equals 180° then seeing a line that separates the whole measurement into two angles, but together making a 180° angle still. Hope this helps! :D
Meanings of the other Options:
Alternate Interior Angles - <em>Angles formed when two parallel or non-parallel lines are intersected by a transversal. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal.</em>
Corresponding Angles - <em>Angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel, then the corresponding angles are congruent.</em>
Alternate Exterior Angles - <em>Angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Exterior angles lie on opposite sides of the transversal but outside the two parallel lines.</em>
<em />
Parallel Lines - <em>Two lines that never intersect. Like an equal sign for example (=).</em>
<em />
Transversal - <em>A line the cuts through a parallel line. Like a non-equal sign for example (≠).</em>
Answer:
19
Step-by-step explanation:
60 miles per hour
so 156 miles = 156 /60 = 2.6 hours
0.6 x 60 = 36
so 2.6 hours = 2 hours 36 minutes
Kim leaves Rotherham at 7: 30AM
7:30 AM + 2 hours 36 minutes = 10:06 AM
Answer
Kim arrives in London after 10AM
Answer:
circumference=50.24 cm
area=200.96 cm²
Step-by-step explanation:
r=16/2=8
circumference=2πr=2×3.14×8=50.24 cm
area=πr^2=3.14×8²=200.96 cm²
