Answer: 10 minutes
Step-by-step explanation:
1. Jonathan can type 20 documents in 40 minutes (20/40=1/2 per minute), Susan can type it in 30 minutes (20/30=2/3 per minute) and Jack can type it in 24 minutes (20/24=5/6 per minute), then you must add them to obtain the number of pages they wan write in 1 minute working together:
![\frac{1}{2}+\frac{2}{3}+\frac{5}{6}=2pages](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B5%7D%7B6%7D%3D2pages)
2. Then, the time will it take them type the same document of 20 pages is:
![\frac{20}{2}=10minutes](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B2%7D%3D10minutes)
By AAS congruence theorem, ΔABD is congruent ΔCDB.
Quadrilateral ABCD is given in the figure.
<h3>What is the congruence theorem?</h3>
Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given, AB║DC
Consider ΔABD and ΔCDB
m∠A=m∠C=90° (Given)
m∠ABD=m∠BDC (Alternate interior angles)
BD = BD (Common)
Using AAS congruence theorem, ΔABD ≅ ΔCDB
Hence, by AAS congruence theorem, ΔABD is congruent ΔCDB.
To learn more about the congruent theorem visit:
brainly.com/question/24033497.
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Answer:
P.y = ![4^{x}](https://tex.z-dn.net/?f=4%5E%7Bx%7D)
Step-by-step explanation:
From the given question, since Jesse sends the email to 4 people and the 4 people rebroadcast it to another 4 persons each. And this process continues for a required or given round x, then this is an example of an exponential function.
Thus, the number of emails sent for a given round can be expressed as;
y = ![4^{x}](https://tex.z-dn.net/?f=4%5E%7Bx%7D)
Therefore, the appropriate answer is y =
.
So that for four rounds (x = 4), the number of emails sent can be determined as;
y = ![4^{x}](https://tex.z-dn.net/?f=4%5E%7Bx%7D)
= ![4^{4}](https://tex.z-dn.net/?f=4%5E%7B4%7D)
y = 256