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3 years ago

The angles 3x+6 and 5x + 6 are supplements. What are the two angles

Mathematics

1 answer:

yarga [219]3 years ago

6 0

Answer:

x = 21

Step-by-step explanation:

Step 1: Make an expression

Since they are supplements, that means that they add up to 180 degrees.

3x + 6 + 5x + 6 = 180

Step 2: Combine like terms

3x + 6 + 5x + 6 = 180

(3x + 5x) + (6 + 6) = 180

8x + 12 = 180

Step 3: Subtract 12 from both sides

8x + 12 - 12 = 180 - 12

8x = 168

Step 4: Divide both sides by 8

8x / 8 = 168 / 8

x = 21

Answer: x = 21

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Nella travelled 1/3 of a journey by bus, 2/3 of the remainder by bicycle and the remaining 9 km on foot. a)How far did Nella cyc

Kitty [74]

Answer:

18km

40.5km

Step-by-step explanation:

Let b = journey by bus

c = journey by bicycle

d = total journey

c = (2/3 x d) x 2/3

divide both sides by 2/s

c(3/2) = (2/3)d

c + 9km = 2/3d

c + 9km = 3/2 c

collect like terms and solve for c

3/2c - c = 9km

1/2c = 9km

c = 18km

2. IF cycling (18km) and walking (9km) make up 2/3 of the journey, 2/3 of the journey is 27km

2/3d = 27km

divide both sides by 3/2 to find d

d = 40.50 km

6 0

3 years ago

4x= 2y + 38; 2 - 3y=x Simultaneous equation please help

yuradex [85]

Answer:

x = 59/7, y = -15/7

Step-by-step explanation:

4x= 2y + 38;

2 - 3y=x

We can substitute for x in the first equation since the second equation is solved for x

4(2-3y) = 2y+38

Distribute

8 - 12y = 2y+38

Add 12y to each side

8-12y+12y = 2y+12y+38

8 = 14y+38

Subtract 38 from each side

-30 = 14y

Divide by 14

-30/14 = y

-15/7 = y

Now solve for x

2 - 3y = x

2 - 3*-15/7 = x

2 +45/7 = x

14/7 + 45/7 = x

59/7 =x

4 0

3 years ago

a fan is marked up 40% on the original price the original price was $20 what is thevnew price if the fan before sales tax

alukav5142 [94]

28 dollars is the new price

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3 years ago

The radius of a circle is 13 in. Find its circumference in terms of pi

garik1379 [7]

Answer:

Circumference is 26pie inches

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2 years ago

Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every

Angelina_Jolie [31]

Answer:

My logic:

so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)

Hope this helped!

6 0

3 years ago