See the attached picture.
<span>you are given that ABCE is an isosceles trapezoid. </span>
<span>you are given that AB is parallel to EC. </span>
<span>this means that AE is congruent to BC. </span>
<span>you are given that AE and AD are congruent. </span>
<span>triangle EAD is an isosceles triangle because AE and AD are congruent. </span>
<span>this means that angle 1 is equal to angle 3. </span>
<span>since angle 1 is equal to angle 2 and angle 3 is equal to angle 1, then angle 3 is also equal to angle 2. </span>
<span>this means that AD and BC are parellel because their corresponding angles (angles 3 and 2) are equal. </span>
<span>since AB is parallel to EC and DC is part of the same line, than AB is parallel to DC. </span>
<span>you have AB parallel to DC and AD parallel to BC. </span>
<span>if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. </span>
<span>that might be able to do it,depending on whether all these statements are acceptable without proof. </span>
<span>they are either postulates or theorems that have been previously proven. </span>
<span>if not, then you need to go a little deeper and prove some of the statements that you used.. </span>
here's my diagram.
<span>this is not a formal proof, but should give you some ideas about how to proceed. </span>
<span>you can also prove that angle 4 is equal to angle 2 because they are alternate interior angles of parallel lines. </span>
<span>you can also prove that angle 6 is equal to angle 5 because they are alternate interior angles of parallel lines. </span>
Answer: The drive was 24.32% full when the transfer began.
Step-by-step explanation:
Given: The rate of transferring file = 4.44 megabytes per second.
After 32 seconds, the amount of data on the drive = 384 megabytes
The amount of transferred data = 
megabytes
Therefore, the amount of data in the drive at the beginning is given by :-
The drive had a maximum capacity of 1000 megabytes.
Hence, the drive was 24.32% full when the transfer began.
Hello!
This is an example of theoretical probability. If you rolled the die 1,000 times, you would probably roll red about 333 times. On average, this is 1/3, and with a die it is 2/6. As you can see, it will be rolled 2/6 of the time on average, so our answer is A) 2.
I hope this helps!
<u>Answer</u>
3×(2×5)
<u>Explanation</u>
Multiplication of numbers is associative. For example,
(a×b)×c = a×(b×c)
This is also called grouping. We multiply more than 2 numbers by grouping.
For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).
Answer:
The last one
Step-by-step explanation:
The first one would be multiplication because you want to find the total thickness, the second one is division because it gives the total value and the amount of bags, the third one is addition because it gives you a starting value and says that they work this amount more in this month, and the last one is subtraction because he first pays with a gift card, and then with cash.
Hopefully that helped
