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andrew11 [14]
2 years ago
9

Parker has a bag that contains orange chews, apple chews, and lime chews. He performs an experiment. Parker randomly removes a c

hew from the bag, records the result, and returns the chew to the bag. Parker performs the experiment 40 times. The results are shown below: A orange chew was selected 13 times. A apple chew was selected 9 times. A lime chew was selected 18 times. Based on these results, express the probability that the next chew Parker removes from the bag will be orange or lime as a fraction in simplest form.
Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0

Answer:

31/40

Step-by-step explanation:

13/40 + 18/40

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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

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Answer:

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Step-by-step explanation:

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f(x) + g(x) = 2x +x + 5 +2

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3 years ago
LCD of (2/x^2) - (7/4x^2+12x)?
svlad2 [7]

Answer:

4x³ + 12x²

Step-by-step explanation:

I assume the denominators are x² and 4x although that is not what you wrote.

x² = x² (already factored)

4x² + 12x = 4x(x + 3)

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LCD = 4x³ + 12x²

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Vadim26 [7]

Answer:

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Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

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We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

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At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

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