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guapka [62]
3 years ago
8

In rectangle ABCD, the angle bisector of ∠A intersects side DC at point M and the angle bisector of ∠C intersects side AB at poi

nt N. The length of CM is equal to the length of AM and it is 6 in longer than the length of DM. Find the perimeter of quadrilateral ANCM.

Mathematics
1 answer:
Verizon [17]3 years ago
7 0
Perimeter of quadrilateral ANCM = AN+NC+CM+MA

CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.

Perimeter (P) = 4x in

Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in

Therefore, P=4*20.5 = 82 in

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Step-by-step explanation:

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Answer:

2/5, 0.4, 40%

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1/2, 0.5, 50%

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3/5, 0.6, 60%

3/10, 0.3 ; 30%

Step-by-step explanation:

Sample space = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

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Required = (1, 2, 3, 4) = 4 observations

P(less than 5) = 4 / 10 = 2 / 5 = 0.4 = 40%

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P greater Than 3) = 7/10 = 0.7 = 70%

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P(even) = 5 / 10 = 1/2 = 0.5 = 50%

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P(not A multiple of 4) = 8/10 = 4/5 = 0.8 = 80%

not 5, 6, 7, or 8 = (1,2,2,4,9,10).= 6

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Six students are working to simplify the expression shown.
krok68 [10]

<u>Equivalent and Fully Simplified:</u>

8+7x+4y

<u>Equivalent and not fully simplified:</u>

8+12x-5x+4y

15+7x+4y-7

<u>Note Equivalent:</u>

15-7x-4y

8+17x+4y

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Step-by-step explanation:

Given expression is:

15+12x-5x+4y-7

We will simplify the expression one by one

8+12x-5x+4y

8+7x+4y

Now we can categorize the expressions in boxes given below

<u>Equivalent and Fully Simplified:</u>

8+7x+4y

<u>Equivalent and not fully simplified:</u>

8+12x-5x+4y

15+7x+4y-7

<u>Note Equivalent:</u>

15-7x-4y

8+17x+4y

8+11y

Keywords: Expressions, simplification

Learn more about expressions at:

  • brainly.com/question/2131336
  • brainly.com/question/2150928

#LearnwithBrainly

<u></u>

6 0
3 years ago
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