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Fed [463]
2 years ago
7

In the figure, BE||CD. Solve for x. Show your work.

Mathematics
1 answer:
marin [14]2 years ago
3 0

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>15</em>

<em>Answer</em><em> </em><em>is given below with explanations</em><em>. </em>

Step-by-step explanation:

in \: the \: figure \: BE ||  CD \\ by \: thales \: theorem \\  \frac{AE}{ED}  =  \frac{AB}{BC}  \\ on \: substituting \: the \: values \: from \: the \: figure \\  \frac{9}{6}  =  \frac{x}{10}  \\  \frac{3}{2}  =  \frac{x}{10}  \\ x =  \frac{3 \times 10}{2}  \\ x =  \frac{30}{2}  \\ x =15  \\

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

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Answer:

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Step-by-step explanation:

Cups = c

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6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80

7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00

Now use algebra to have the 30c be on one side and the rest on the other:

36p + 30c = 142.80 | -36p

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30c = 140.00 - 35p

Now set them equal to each other about the 30c:

142.80 - 36p = 140.00 - 35p

Use algebra to solve for p:

142.80 - 36p = 140.00 - 35p | +36p

142.80 = 140.00 + p | - 140

2.80 = p

Go back to one of the "30c" equations and plug in the value for p:

30c = 140 - 35p

30c = 140 - 35(2.80)

30c = 140 - 98

30c = 42 | /30

c = 42/30

c = 1.4

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