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velikii [3]
3 years ago
8

Triangle D E F is shown. Use ΔDEF to complete the statements. Angle E is the included angle between sides . The included angle b

etween sides FE and DF is angle
Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

Angle E is the included angle between sides DE and EF.

The included angle between sides FE and DF is angle F

Step-by-step explanation:

Given

\triangle D EF

Required

Complete the blanks

To solve this, I will attach an illustration of \triangle D EF

From the attached image of \triangle D EF, we can see that"

\angle E is between DE and EF

\angle F is between FE and DF

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From there, you plug in the coordinate into x and y and solve for b;

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By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

<h3>How to solve an exponential equation by logarithms</h3>

<em>Exponential</em> and <em>logarithmic</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. In addition, <em>logarithmic</em> functions are the <em>inverse</em> form of <em>exponential</em> functions. In this question we take advantage of this fact to solve a given expression:

  1. 7ˣ = 3ˣ⁺⁴     Given
  2. ㏒ 7ˣ = ㏒ 3ˣ⁺⁴      Definition of logarithm
  3. x · ㏒ 7 = (x + 4) · ㏒ 3     ㏒ aᵇ = b · ㏒ a
  4. x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3     Distributive property
  5. x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3      Existence of additive inverse/Modulative and associative properties
  6. x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3)     Existence of multiplicative inverse/Modulative property/Result

By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

To learn more on logarithms: brainly.com/question/20785664

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The answer would be A. 14 and 42
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