Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides:
Answer:
Please see attached picture for full solution.
Answer: 6872
Step-by-step explanation:
8 x 859 = 6872
To find the speed with given distance and time you just have to divide the distance by time. In this situation it's 396 miles in 6 hours, so it's 396 / 6 = 66 miles in 1 hour. So the speed is 66 mph.
The statement that <A > <C and <B > <D has been proved
<h3>How to prove that <A > <C and <B > <D?</h3>
In geometry, the side length opposite the largest angle is the longest side.
Similarly, the side length opposite the smallest angle is the shortest side.
From the given figure of quadrilateral, we have the following sides in increasing order:
- Side length AB
- Side length BC
- Side length AD
- Side length CD
The angles opposite the side lengths are:
- Angle D
- Angle B
- Angle C
- Angle A
This means that:
<A > <C and <B > <D
Hence, the statement that <A > <C and <B > <D has been proved
Read more about mathematical proofs at:
brainly.com/question/1788884
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