Which angles are alternate interior angles?
Which angles are alternate interior angles? - 1

Answers

Answer 1
Answer:

Answer:

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A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

Answers

The pencil costs $0.25.

One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.

Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25

Hope this helps! :)

Answers:

The pencil costs $0.25

The ruler costs $1.25

Explanation:

Assume that the cost of the pencil is x and that the cost of the ruler is y.

We are given that:

1- The total cost is $1.5

This means that:

x + y = 1.5 ...........> equation I

2- The ruler costs $1 more than the pencil

This means that:

y = x + 1 ............> equation II

Substitute with equation II in equation I and solve for x as follows:

x + y = 1.5

x + x + 1 = 1.5

2x = 1.5 - 1

2x = 0.5

x = (0.5)/(2) = 0.25

This means that:

cost of pencil = x = $0.25

cost of ruler = 1 + 0.25 = $1.25

Hope this helps :)

How to convert improper fraction to a mixed or whole number (reduce to lowest terms): 24/9 how to convert improper fraction to a mixed number 24/9
how to convert improper fraction to a mixed (reduced to lowest terms)
change to an improper fraction: 4 2/3=?

Answers

How to convert improper fraction to a mixed or whole number (reduce to lowest terms): 24/9

What is the first term in the pattern with formula 20 · 5n – 1?A.0

B.20

C.25

D.100

Answers

What is the first term in the pattern with formula 20 · 5n – 1?

The first term in the pattern is B.20.

In a sequence, the format would be:
first term * common difference(number of term - 1)


Write about how to use the dollar sign and decimal point to show the total value of 5 quarters?

Answers

Answer:

5 quarters = $1.25

Step-by-step explanation:

We are required,

To write 5 quarters using dollar sign and decimal point.

Since, we know,

1 quarter = 0.25 dollar

So, we get,

5 quarters = 0.25 × 5 = 1.35 dollars

Thus, we have that,

5 quarters in terms of dollars and decimal point is $1.25.

That is, 5 quarters = $1.25

1 quarter is 0.25
0.25×5=1.25
5 quarters is equal to $1.25

What is a soliloquy in a drama?

Answers

this is not mathematics but ok......
soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.

Answer:


Step-by-step explanation:

soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.

Simplify for 2 points cosx + cos(180º -x)

Answers

cos x+ cos(180-x)
=cos x + (cos 180)(cosx) +sin(180)(sinx))
=cos x+{-1(cos x)+0(sinx)
Note cos 180^(o)=-1 sin 180^(o)
= cos x-cos x
=0