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snow_tiger [21]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

94

Step-by-step explanation:

The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion to find KY.

\frac{95.2}{168}=\frac{34}{KY}

Cross multiply to solve for KY.

95.2(KY) = 168(34)

95.2KY = 5,712

KY = 60

Add KY to 34 to find x.

60 + 34 = 94.

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Answer:

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k=-0.0007192

Step-by-step explanation:

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Applying logarithmic properties yields in the following linear system:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k

Solving for k:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192

Solving for C:

40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116

C= 82.1116

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