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Leni [432]
3 years ago
7

Find the measure of angle J .will mark brainiest​

Mathematics
2 answers:
zhenek [66]3 years ago
6 0

Answer:

<J=51°

Step-by-step explanation:

3x-2+4x-9+3x-9=180

10x-20=180

10x=200

x=20

<J=3x-9=3(20)-9=60-9=51°

Alex Ar [27]3 years ago
4 0

Answer: Angle J = 51°

Step-by-step explanation: All angles add up to 180° in a triangle, so add every angle and set it equal to 180°.

(3x - 2) + (3x - 9) + (4x - 9) = 180

Add like terms:

10x - 20 = 180

Add 20 to both sides:

10x = 200

Divide both sides by 10:

x = 20

Now, plug x into angle J:

3(20) - 9

60 - 9

51

Angle J = 51°

Hope this helps!

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Mariana [72]
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------


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Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y :  \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

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\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32

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