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Tatiana [17]
3 years ago
8

If Log x (1 / 8) = - 3 / 2, then x is equal to. A. - 4 B. 4 C. 1 / 4 D: 0

Mathematics
1 answer:
Softa [21]3 years ago
5 0

log_{x}(1/8)=-3/2

This is equal to...

x^{-3/2}=1/8

We want "x" so we need to isolate it using laws of exponents...

x^{(-1)(3/2)}=1/8

x^{3/2}=8 because x^{-a}=1/x^{a}

x=\sqrt[3]{8^{2}} because x^{a/b}=\sqrt[b]{x^{a}}

x = 4

answer: B

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Answer:

m∠7 = 63 degrees

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m∠9 = 63 degrees

Step-by-step explanation:

When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles

  • The vertically opposite angles are equal in measures
  • The linear angles have a sum of 180°

In the given figure

∵ There are two lines intersected at a point

∴ The angle of measure 117° and ∠8 are vertically opposite angles

∴ ∠7 and ∠9 are vertically opposite angles

∴ The angle of measure 117° and ∠7 are linear angles

∵ The vertically opposite angles are equal in measures

∴ The angle of measure 117° and ∠8 are equal in measures

∴ m∠8 = 117°

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∴ m∠7 + 117° = 180°

→ Subtract 118 from both sides

∵ m∠7 + 117 - 117 = 180 - 117

∴ m∠7 = 63°

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Step-by-step explanation:

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