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3 years ago

Find the value of x in the similar triangles

Mathematics

1 answer:

erik [133]3 years ago

6 0

The value of x is 11

Explanation:

Given that the triangles UVW and UST are similar.

Since, the triangles are similar, then their sides are proportional.

Thus, we have,

$\frac{5x+11}{18}=\frac{88}{24}$

Multiplying both sides by 18, we get,

$5x+11=\frac{88(18)}{24}$

Simplifying, we get,

$5x+11=\frac{1584}{24}$

Dividing, we get,

$5x+11=66$

Subtracting both sides by 11, we have,

$5x=55$

Dividing both sides by 5, we have,

$x=11$

Thus, the value of x is 11

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3 years ago

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3 years ago

Algebra help. Zoom in if you can

Artist 52 [7]

Answers:

Pair-1: $log_{2}x = 5$ ↔ 32
Pair-2: $log_{10}x = 3$ ↔ 1000
Pair-3: $log_{4}x = 2$ ↔ 16
Pair-4: $log_{5}x = 4$ ↔ 625

Explanation:

Pair-1:
$log_{2}x = 5 \\ \frac{ln(x)}{ln(2)} = 5 \\ ln(x) = 5 * ln(2) \\ x = e^{5*ln(2)} \\ x = 32$

Pair-2:
$log_{10}x = 3 \\ \frac{ln(x)}{ln(10)} = 3 \\ ln(x) = 3 * ln(10) \\ x = e^{3*ln(10)} \\ x = 1000$

Pair-3:
$log_{4}x = 2 \\ \frac{ln(x)}{ln(4)} = 2 \\ ln(x) = 2 * ln(4) \\ x = e^{2*ln(4)} \\ x = 16$

Pair-4:
$log_{5}x = 4 \\ \frac{ln(x)}{ln(5)} = 4 \\ ln(x) = 4 * ln(5) \\ x = e^{4*ln(5)} \\ x = 625$

7 0

3 years ago