aydan1123
Answered

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Need only #5 done (Show work) will give brainliest

Need Only 5 Done Show Work Will Give Brainliest class=

Sagot :

ibnuamam104

The distance between K and M = 35 (from the question)

[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).

Collecting like terms:

[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).

Dividing by the variable's coefficient:

[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).

mhanifa

Step-by-step explanation:

  • Statement                                Reason
  1. L is between K and M             Given
  2. KM = 35                                    Given
  3. KL = 2x - 5, LM = 2x                 Given
  4. KM = KL + LM                           Segment addition
  5. 35 = 2x - 5 + 2x                        Substitution
  6. 35 + 5 = 4x                                Addition property
  7. 40 = 4x                                      Simplification
  8. 10 = x                                         Division property
  9. x = 10                                         Proved

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