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77julia77 [94]
3 years ago
6

Which postulate or theorem proves that these two triangles are congruent,

Mathematics
2 answers:
sukhopar [10]3 years ago
5 0
SAS.  Sides because PN and MN are congruent as well as RN and QN.  Since angle PNQ and angle MNR are vertical angles they are also congruent.
k0ka [10]3 years ago
4 0

Answer:

SAS sweetheart

Hope I helped!


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If U = {x: X € N, 1 < × < 15)
Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

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3 years ago
After Lynda's initial client assessment, she has noted that her client will require inventory management to avoid out-of-stock s
Gelneren [198K]

Answer:

Most commonly seen in the consumer goods industry

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2 years ago
Riley is saving up to buy a new television. She needs a total of $968.58. Riley has saved $200.78 already and earns $76.78 per w
attashe74 [19]
968.58=200.78+76.78w
-200.78
767.8=76.78w
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=10w
Riley must save for 10 weeks
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3 years ago
If you borrow $1500 for a year with a credit card that charges 26.8% annual interest, how much interest will you pay for the yea
Anarel [89]

Answer:

$402

Step-by-step explanation:

Interest = principal x rate x time

I = 1500 x .268

I = $402

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Mora was preparing for 3 achievement assessments. She spent 3.6 hours of studying over the weekend. If she spent an equal amount
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1.3 hours
3.6/3 =1.3
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3 years ago
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