Answer:
3 (-4,3)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° =
, then
cos45° =
=
=
( cross- multiply )
c = 3
Answer:
She could make 5 of each type.
Step-by-step explanation:
If x is the number of 0.5 pound hamburgers and y is the number of 0.25 pound hamburgers:
0.5x + 0.25y = 3.75
Divide through by 0.25:
2x + y = 15
Some whole numbers which fit this relation are x = 5 and y = 5.
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:
Step-by-step explanation:
It asks for the common set of A and B.
<u>There only one element common to both the given sets:</u>
- A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}