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Shtirlitz [24]
3 years ago
6

5th Grade U.S Studies Weekly- Week 24 Answer Key

Mathematics
1 answer:
Georgia [21]3 years ago
3 0
You should try and put it in another way it doesn’t make sense
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erastovalidia [21]

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. 5 gives 4x = 108, so x = 27

6 0
3 years ago
Read 2 more answers
What is 0.5 repeating as a fraction in simplest form
Solnce55 [7]

Answer:

5/9

Step-by-step explanation:

Start be letting x = 0.555...

Our original equation is:

x = 0.555...

There is only one digit repeating, the 5, so we multiply both sides of that equation by 10 and write it above the original equation.

10x = 5.555...

   x = 0.555...

Now we subtract the second equation from the first equation as written above.

9x = 5

Divide both sides by 9.

x = 5/9

0.555... = 5/9

6 0
3 years ago
What is a two column proof
forsale [732]

Answer:

a t-chart to represent you proving a statement. statements are to the left of the t-chart and reasons are to the right.

Step-by-step explanation:

this is used in geometry to prove a given statement.

8 0
3 years ago
PLEASEE HELPP URGENT AND EXPLAINN ITS NUMBER 36
Alja [10]

Answer: x = 4

Step-by-step explanation:

1/4(2(x - 1) +10)=x

1/4(2x - 2 + 10) = x

1/4(2x + 8) = x

1/2x + 2 = x

1/2x = 2

x = 4

3 0
2 years ago
You need to make two goods, face masks and gloves (for hospital workers). Each good requires two steps, assembly(x) and sanitiza
slega [8]

Answer:

We would use 12 hours assembly and 6 hours sanitization in a maximization problem

Step-by-step explanation:

Let us make a system of inequalities to solve the problem

Each good requires two steps, assembly(x) and sanitization (y)

∵ Face masks take 2 hours to assemble and 1 hour to sanitize

- Multiply x by 2 and y by 1, then add the products

∴ The face masks take 2x + y hours

∵ You have up to 30 hours to make face masks

∴ 2x + y ≤ 30

∵ Gloves take 1 hour to assemble and 2 hours to sanitize

- Multiply x by 1 and y by 2, then add the products

∴ The gloves take x + 2y hours

∵ You have up to 24 hours to make gloves

∴ x + 2y ≤ 24

Lets solve the system as equations to find the maximum values of x and y

∵ 2x + y = 30 ⇒ (1)

∵ x + 2y = 24 ⇒ (2)

- Multiply (2) by -2

∴ -2x - 4y = -48 ⇒ (3)

- Add (1) and (3)

∴ -3y = -18

- Divide both sides by -3

∴ y = 6

- Substitute the value of y in equation (2) to find x

∵ x + 2(6) = 24

∴ x + 12 = 24

- Subtract 12 from both sides

∴ x = 12

Look to the attached graph of the two inequalities to check the maximum values of x and y

We would use 12 hours assembly and 6 hours sanitization in a maximization problem

5 0
3 years ago
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