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sveticcg [70]
2 years ago
5

For any positive numbers a, b, and d, with b 1,

Mathematics
1 answer:
Vitek1552 [10]2 years ago
8 0

Answer:

D

Step-by-step explanation:

using the rule of logarithms

log x - log y ⇔ log ( \frac{x}{y} )

then

log_{b} ( \frac{a}{d} ) = log_{b} a - log_{b} d

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Evaluate rs + 14s when r = 6 and s = 8
Ivahew [28]

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160

Step-by-step explanation:

Plug in 6 for r, and 8 for s in the expression:

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3 0
3 years ago
△ABC≅△DEF, BC=4x−12, and EF=−3x+16. Find x and EF.
kirill [66]

x = 4 and EF = 4 ⇒ 3rd answer

Step-by-step explanation:

If two triangles are congruent, then

1. Their corresponding sides are equal

2. Their corresponding angles are equal

3. Their areas and perimeters are equal

∵ △ ABC ≅ △ DEF

∴ AB ≅ DE

∴ BC ≅ EF

∴ AC ≅ DF

∵ BC = 4 x - 12

∵ EF = -3 x + 16

∵ BC = EF

∴ 4 x - 12 = -3 x + 16

Let us solve the equation to find x

∵ 4 x - 12 = -3 x + 16

- Add 3 x for both sides

∴ 7 x - 12 = 16

- Add 12 to both sides

∴ 7 x = 28

- Divide both sides by 7

∴ x = 4

Substitute the value of x in the expression of EF

∵ EF = -3 x + 16

∵ x = 4

∴ EF = -3(4) + 16 = -12 + 16

∴ EF = 4

x = 4 and EF = 4

Learn more:

You can learn more about congruence of Δs in brainly.com/question/3202836

#LearnwithBrainly

3 0
3 years ago
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