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Tpy6a [65]
2 years ago
5

ABC ~ ADE; find x Pls help!!

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
8 0

Step-by-step explanation:

  • If ABC~ADE
  • then DE~BC

\sf \rightarrowtail \: 2x + 3 = 15 \\  \sf \rightarrowtail \: 2x = 15 - 3 \\  \sf \rightarrowtail \: 2x = 12 \\  \sf \rightarrowtail \: x =  \frac{12}{2}  \\  \sf \rightarrowtail \: x = 6

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16.47 is what percent of 61 show step by step
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Solution for 47 is what percent of 61:

47:61*100 =

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Now we have: 47 is what percent of 61 = 77.05

Question: 47 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=61$100%=61​.

Step 4: In the same vein, $x\%=47$x%=47​.

Step 5: This gives us a pair of simple equations:

$100\%=61(1)$100%=61(1)​.

$x\%=47(2)$x%=47(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
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$\frac{100\%}{x\%}=\frac{61}{47}$
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x%​=
61
47​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{47}{61}$
x%
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$\Rightarrow x=77.05\%$⇒x=77.05%​

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