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mestny [16]
3 years ago
15

Suppose △PKN≅△BGH.

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer:

△KNP ≅ △GHB

△NPK ≅ △HBG

Step-by-step explanation:

Given: △PKN≅△BGH

This means two triangles PKN and BGH are congruent. Congruent triangles havecongruent  corresponding parts.

So,

  • PK ≅ BG;
  • PN ≅ BH;
  • KN ≅ GH;

and corresponding vertices

  • P to B;
  • K to G;
  • N to H.

Hence,

A. Triangle KNP is congruent to triangle GHB - true

B. Triangle KPN is congruent to triangle GBH - false

C. Triangle NKP is congruent to triangle HGB - false

D. Triangle NPK is congruent to triangle HBG - true

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Yakvenalex [24]
<span>7N - 2N + 3P + 2P

Combine like terms: 
7N-2N=5N 

3P+2P=5P 

Put them together to get :
5N+5P

Final answer: 
A</span>
7 0
3 years ago
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Carmen participated in a read-a-thon. Mr.Cole pledged $4.00 per book and gave Carmen $44.How many books did Carmen read?
alex41 [277]
She read 11 books because 44 divided by 4 its 11$
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What is the next number on the sequence, 4, 7, 5, 8, 6, 9,___
Alchen [17]

Answer:

7

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Which pair of complex factors results in a real number product? 15(–15i) 3i(1 – 3i) (8 + 20i)(–8 – 20i) (4 + 7i)(4 – 7i)
photoshop1234 [79]

Answer:

(4 + 7i)(4 – 7i)

Step-by-step explanation:

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I rent a gym for $200.00 for 30 students. A year later I rent the gym for $330 for 70 students.
Anna [14]

let X be number of students

and y be total cost

when 30 students (30,X)where at the gym it's costs 200 (y,200)

=that is (X,y)=(30,200)

when 70 students where at the gym

=(X,y)= (70,330)

now we find the slope

M=y2-y1/x2-x1

= 330-200/70-30

= 100/40

= 2.5=3

now

Y=Mx+b

Y=2x+b

we need to find the value of b

so,we substrate for X and Y

X=30,200

200=2(30)+b

re-arrange

B+60=200

B=200-60

=140

y=2x+140

For the other questions, I can look at the equation I got. The y-intercept (b value) is $200. That means that we are adding $200 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.

hope it's helpful

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