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Aneli [31]
3 years ago
5

How do I solve the length of AC?​

Mathematics
1 answer:
Crank3 years ago
7 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

∆ABC and ∆ADE are similar triangles.

Thus ;

\frac{AD}{AC}  =  \frac{DE}{BC}  =  \frac{AE}{AB}  \\

So :

\frac{5}{3 + 2x}  =  \frac{4}{8}  \\

\frac{5}{3 + 2x}  =  \frac{1}{2}  \\

Inverse both sides

\frac{3 + 2x}{5}  =  \frac{2}{1}  \\

\frac{2x + 3}{5}  = 2 \\

Multiply sides by 5

5 \times  \frac{2x + 3}{5}  = 5 \times 2 \\

2x + 3 = 10

Thus ;

AC = 2x + 3 = 10

AC = 10

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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A club has 800 members. 100 of the members were randomly picked and were asked if the dues should be raised. 6 of the members sa
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About 48 members would be expected to say that dues be raised

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Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. Sebastian spends a totally of $138.00 on 3 bags of popcorn and
Ivanshal [37]

Answer: A popcorn costs $9

Step-by-step explanation:

Let popcorn be represented by p

Let drinks be represented by d.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75

Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138

p + 3d = 36.75 ........... i

3p + 12d = 138 ............ ii

Multiply equation i by 3

Multiply equation ii by 1

3p + 9d = 110.25 ....... iii

3p + 12d = 138 ............ iv

Subtract equation iv from iii

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3d = 27.75

Divide both side by 3

d = 9.25

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From equation i

p + 3d = 36.75

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