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xz_007 [3.2K]
2 years ago
14

Help ;-; Im almost overdue and I'n only on Q.13/24

Mathematics
2 answers:
Mamont248 [21]2 years ago
8 0
C is the correct answer you flip the numbers around
jolli1 [7]2 years ago
7 0

Answer: C (-7/18)

Step-by-step explanation: you flip the denominator and numerator and keep the negative

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MO bisects angle LMN , angle LMO = 6x-22 and angle NMO = 2x +34. Solve for x and find angle LMN.
Mkey [24]

Answer:

  • x=14
  • \angle{LMN}=124\textdegree

Step-by-step explanation:

<u><em>To Determine:</em></u>

Solve for x and find angle LMN.

<u><em>Fetching Information and Solution Steps:</em></u>

Considering the angle \angle{LMN}

As MO bisects the angle \angle{LMN} into two equal angle parts. These equal angles are:

\angle{LMO}=6x-22

\angle{NMO}=2x+34

As these angles are equal. i.e.

\angle{LMO}=\angle{NMO}

6x-22=2x+34

\mathrm{Add\:}22\mathrm{\:to\:both\:sides}

6x-22+22=2x+34+22

6x=2x+56

\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}

6x-2x=2x+56-2x

4x=56

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4x}{4}=\frac{56}{4}

\mathrm{Simplify}

x=14

Hence, x=14

As  \angle{LMN} was cut into two equal parts \angle{LMO} and \angle{NMO}

So,

\angle{LMN} = \angle{LMO} + \angle{NMO}

            = 6x-22+2x+34

            = 8x + 12

            = 8(14) + 12     ∵ x=14

            = 124\textdegree

Therefore, \angle{LMN}=124\textdegree

Keywords: angle bisector, congruent angles

Learn more about angle bisector and congruent angles from brainly.com/question/711370

#learnwithBrainly

3 0
3 years ago
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