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telo118 [61]
3 years ago
7

Three squares are placed next to each other as shown. The vertices A, B, and C are collinear. Find the dimension n. Replace the

lengths 4 and 7 by m and k, respectively. Express k in terms of m and n.

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0
\frac{k-m}{m} = \frac{n-k}{k} 
\\
\\k^2-mk=mn-mk
\\k^2=mn
\\k= \sqrt{mn} 
\\

7^2=4n
\\
\\n= \frac{49}{4}

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Write a two column proof. Given: MN is congruent to PN and LM is congruent to LP. Prove: MLN is congruent to PLN
Murljashka [212]
In triangle MNL and triangle NPL,we have,
MN=PN(given)
LM=LP(given)
LN=LN(common side)
=>triangle MNL is congruent to triangle PLN. (SSS criterion rule)
Hope This helps u...!!!!
3 0
4 years ago
Read 2 more answers
Find the volume of the solid<br><br> Please help!!!!!!!!!!!
Vedmedyk [2.9K]

Answer:

c

I just finished that test

8 0
3 years ago
PLEASE HELPPP Today in Algebra class, Ethan learned about the expressions (1+ 1/x)^x and e, but he can't remember if (1+1/x)^x g
tester [92]

Part 1

Use your calculator to have it display e \approx 2.71828182846 and round that to five decimal places to get e \approx 2.71828

<h3>Answer: 2.71828</h3>

=============================================

Part 2

Plug in x = 5 to get

y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{5}\right)^5\\\\y = 2.48832\\\\

<h3>Answer: 2.48832</h3>

=============================================

Part 3

Now plug in x = 25

y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{25}\right)^{25}\\\\y \approx 2.66583633148742\\\\y \approx 2.665 84\\\\

<h3>Answer: 2.66584</h3>

=============================================

Part 4

Plug in x = 125

y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{125}\right)^{125}\\\\y \approx 2.70748783321031\\\\y \approx 2.70749\\\\

<h3>Answer: 2.70749</h3>

=============================================

Part 5

As x gets larger, it appears (1+1/x)^x is getting closer and closer to e = 2.71828 since the sequence of answers (from parts 2 through 4) was 2.48832, 2.66584, 2.70749.

5 0
3 years ago
WILL GIVE BRAINIEST<br> HELP PLEASE AND THANK YOU c:
galben [10]
I do believe it might be the first option.
5 0
3 years ago
A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocal
Angelina_Jolie [31]

Answer:

  8184 vocalists sang in total

Step-by-step explanation:

The number needed is ...

  8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096

You can add these up to get a total of 8184, or you can use the formula for the sum of a geometric series:

  Sn = a1(r^n -1)/(r -1) . . . . where a1 is the first term and r is the common ratio

  S10 = 8(2^10 -1)/(2 -1) = 8(1024 -1)/1 = 8184

3 0
3 years ago
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