Step-by-step explanation:
To calculate a slope, we need to apply: 
Applying formula to each slope:

So, as you can see, there are equal pair of slopes, meaning that they are parallels, which<em> demonstrate that it's actually a quadrilateral figure.</em>
Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

Substituting the given expression for each segment in the first equation, we get:

Solving the above equation for x, we get:

Substituting x=10 in the equation for segment EI, we get:

Therefore:

Now, to determine the measure of angle IEH, we notice that:

therefore,

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

<h2>Answer: </h2>
Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is




On further simplification, we get


Therefore, the length of the required fencing is 74.3 yards.
Answer:
4317 miles
Step-by-step explanation:
At a given speed, distance is proportional to time.
NY-Rome distance = (3500 mi)(7.4 h)/(6 h) = 4316 2/3 mi ≈ 4317 mi
Yes it is divisible by 2. The answer would be 2884.
Thank you