The length of the new sidewalk between the Dormitory to the recreation center is 143 yards
We need to understand the concept of Bearing and Distance in order to be able to determine how long is the new sidewalk.
<h3>What are Bearing and Distance?</h3>
The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.
From the diagram attached below:
- The adjacent of the sidewalk way = 80 yards.
- The hypotenuse shows the new sidewalk way = x( unknown)
- The angle θ = 56°
Using the relation from trigonometry:




x ≅ 143 yards
Learn more about Bearing and distance here:
brainly.com/question/17007896
First of all, look at the figure, The ABC orientation is changed from clockwise to counterclockwise, so an odd number of reflections are involved.
Second, look at the answer choices. Right away, you notice that the last choice (E) involves two reflections. That cannot be the transformation you see. Since that is what the question is asking for, the appropriate choice for the transformation NOT done is ...
... E. reflection across the x-axis followed by a reflection across the y-axis
_____
I have to admit, I went through each of the choices to see if it would work to produce the image you see. All choices except E will do that. All that work turned out to be unnecessary.
Answer:
Step-by-step explanation:
Since the figures are similar, the corresponding angles are congruent.
Corresponding angles are the angles with vertices with same order number in the name of the figures.
Angles V and E are corresponding as both are the second vertex:
Same for angles W and F (third vertex)
Answer: The difference in temperature is -44 degrees.
Explanation: Since the new temperature is a negative number and the old was positive, you add them together. However instead of (-5) +39 (which the answer would be 35), you would write 5 +39 because -5 is 5 spaces away from 0. You can also check by using the equation 39 -44. You would get the answer -5, proving that the answer is indeed -44 degrees.
Answer:
n would be the number of cans Andy, Fergus, and Evelyn collected
Step-by-step explanation:
because if they only give Margaret's number then you wouldn't know the number of everyone else.