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Andreyy89
1 year ago
5

Given: H is the midpoint of GJ (segment) M is the midpoint of OK (segment) GO (segment) is congruent to JK (segment) GJ (segment

) is congruent to OK (segment) angle G is congruent to angle K OK = 27 m angle GOH = x+24, m angle GHO = 2y-7 m angle JMK = 3y-23, m angle MJK = 4x-105 Find: m angle GOH, m angle GHO, and GH
Mathematics
1 answer:
Klio2033 [76]1 year ago
8 0

Answer:235y GH

Step-by-step explanation:

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1. A student took 60 minutes to answer a combination of 20 multiple-choice and extended-response questions. She took 2 minutes t
Darina [25.2K]

Answer:

1) m=15 and r =5

2) 4 and 2 ml

3) x= 0.5 and y = -1

Step-by-step explanation:

given that m multiple choice questions and r extended response questions.

Also given that a) m+r = total no of questions =20 ... i and

                        2m+6r = total time taken = 60  ... ii

b) Divide second equation by 2, m+3r = 30  ... iii

                                                  m+r  = 20   ... i

Subtract to get 2r =10 or r =5

m = 20-5 = 15

Verify: m+r = 15+5 =20

and     2m+6r = 30+30 = 60 minutes.  

Hence verified

--------------------------------------

2) Let a litres of 20% solution and b litres of 50% solution be mixed

a) Then total volume = 6 ml = a+b  ... i

Resulting solution = 30% of 6 ml = 1.8 = 0.2a+0.5b ... ii

b) Solve i and ii

b = 6-a: substitute in ii.

0.2a + 3-0.5a = 1.8

Or a = 4 ml and b = 2ml

Verify: Total volume = a+b =6ml and

concentration = 0.2(4)+0.5(2) = 1.8 = 30% of 6 ml.

Thus verified

---------------------------------

3) 2x-3y=4 ...i

  2x-5y =6... ii

Because x term has the same coefficient in both the equations, elimination is easier.

i-ii gives 2y =-2 or y =-1

Substitute in i, 2x+3 =4 or x = 0.5

So answer is x = 0.5 and y =1


6 0
3 years ago
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