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Gelneren [198K]
3 years ago
8

I don't get this can someone help me?

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0

Answer:

n=5

x= 23

p= 4

Step-by-step explanation:

What this wants us to do is find the value of the variable first, then find the measurement of the degrees.

So, for the first equation we need to make an equation.

Since the angles are vertical angles, that means they equal each other.

The equation would be.. 8n=9n-5.

Step 1- Move variable to the left hand side and change its sign

8n-9n= -5

Step 2- Collect like terms

-n= -5

Step 3- Change signs on both sides of the equation

n=5

So, now that we know what the variable is, substitute it into the equations.

8(5)= 40    9(5)-5= 40

For the second equation, the angles equal 180 degrees.

So, that would give us the equation.. 6x+19+x= 180.

Step 1- Add the common variables

(6x+x)+19= 180

7x+19= 180

Step 2- Subtract 19 from both sides.

7x+19= 180

   -19    -19

7x= 161

Step 3- Divide both sides by 7

<u>7x</u>= <u>161</u>

7     7

x= 23

So, now that we know what the variable is, substitute it into the equations.

6(23)+19= 157

157+23= 180

Finally for the last equation, they are vertical angles, so they equal each other.

So, the equation would be 5p+28= 12p.

Step 1- Move the variable to on side.

5p+28= 12p

-5p         -5p

28= 12-5p

Step 2- Subtract the variables

28= 7p

Step 3- Divide by 7 to both sides.

<u>28</u>= <u>7p</u>

7     7

p= 4

So, now that we know what the variable is, substitute it into the equations.

5(4)+28= 48

12(4)= 48

Hope this helps!! :)

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3 years ago
What's the answer to this? and please explain.
vichka [17]
<h3>Answer: No, there isn't enough ribbon</h3>

===========================================================

Use this formula

a & b/c = (a*c+b)/c

to convert from a mixed number to an improper fraction

So,

a & b/c = (a*c+b)/c

3 & 3/4 = (3*4+3)/4

3 & 3/4 = 15/4

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

Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.

In this case, the LCD is 4*6 = 24

  • The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.
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Now we can add the fractions:

90/24+20/24 = (90+20)/24 = 110/24

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

So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24

The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot

2/3 = 16/24 after multiplying top and bottom by 8

Add this to the result of the last section

110/24+16/24 = (110+16)/24 = 126/24

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

From here, we convert the improper fraction 126/24 to decimal form

Using a calculator, you should find that 126/24 = 5.25

The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.

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

The shortcut we can take is to type the following into the calculator

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doing so should lead to 5.25

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