Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent

Answer:

(2a-3b)(y+5x)

Step-by-step explanation:

2ay + 10ax - 3by - 15bx

2a(y+5x)-3b(y+5x)

(2a-3b)(y+5x)

Answer:

(y+5x) (2a - (3b))

Step-by-step explanation:

2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)

2a (y+5x) + 3b (-y - (5x))

(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)

Answer: Rogun dam is 335m tall and Nurek dam is 300m tall

Step-by-step explanation:

I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.

The system of equations is as follows:

[tex]r+n=635[/tex]

[tex]r-n=35[/tex]

From the second equation, we can rearange it to be:

[tex]r=35+n[/tex]

Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]

[tex](35+n)+n=635[/tex]

[tex]35+2n=635[/tex]

[tex]2n=600[/tex]

[tex]n=300[/tex]

This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:

[tex]r+300=635[/tex]

[tex]r=335[/tex]

Answer:

Step-by-step explanation:

Dimensions given:

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

Length

Width

Height

Part A

Number of small cubes would be:

Part B

Each small cube has volume:

The volume of the prism in terms of small cubes is 180 as we found above.

The volume in terms of unit cube:

Answer:

y = 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )

m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

Answer:

n ≥ 8

Step-by-step explanation:

Let R and E stand for the number of cows owned by Richard and Ellis, respectively.

We are told that:

R = n

E = 4n

Then:

R = n+13   [Bought 13 cows]

and

E = 4n-9  [Sold 9 cows]

Still:

E > R  [Ellis still has more cows]

Therefore:

4n-9 > n+13

3n  > 22

n > 7 1/3

Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number.  The least value of n is therefore 8 cows or higher.  Since 8 is a valid number, change the > inequality to ≥.

n ≥ 8

Answer: where’s the question??

Answer:

15.6

Step-by-step explanation:

10.7+4.9=15.6

Answer:

15.6

Step-by-step explanation: I took the test

Answer:

B. Variable terms

Step-by-step explanation:

The 4 and -7 both have an x on them. The x is a variable.

Answer: 3935376

Step-by-step explanation: 3927283+8093

3935376

Answer: 8

Step-by-step explanation:

PEMDAS

division first

6 + 2

8

Answer:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

6/3 = 2

6+2 = 8

HAVE A NICE DAY

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

Read more about products at:

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A I think yup it's A good luck

Step-by-step explanation:

Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot

What is the range of the actual cost of putting the flooring in the hallway?

OA) $316.47 and $372.64

OB) $372.64 and $431.55

O C) $362.64 and $382.64

OD) $316.47 and $431.55

Answer:

19:74

Step-by-step explanation:

74-55=the people sitting on floor=19

19:74

Based on the information that's given, the account balance after the years given will be $27654.20.

The formula for simple interest is calculated as:

= PRT / 100

where,

Principal = $22825

Rate = 4.03%

Time = 5 years, 3 months = 5.25 years

Therefore, the simple interest will be:

= ($22825 × 4.03 × 5.25) / 100

= $4829.20

Therefore, the amount will be:

= $22825 + $4829.20

= $27654.20

Learn more about simple interest on:

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Answer:

The amount will be $27654.20

Step-by-step explanation:

Answer:6 . 625 or 6 5/8

Step-by-step explanation

10 + (-3 3/8)         (adding a negative is like subtracting a positive)

10 - 3 3/8

6 5/8

Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

Answer:

It is the second option

[tex]2 \sqrt{11} [/tex]

[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]

[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/tex]

Answer:

Step-by-step explanation:

first step:    3 + 1 =  4

second step:  4 - 4 = 0

third step:   0 + 7 = 7  (the answer is 7 )

Answer:

c

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=56

b=-3

y=56x-3

the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120

Answer:

120

Step-by-step explanation:

To find the answer, multiply 300 with 0.40

To confirm this answer, divide 120 by 0.40

Answer:

Solid line

Step-by-step explanation:

This means that it is equal. The line under the less than sign means it would be a solid line.

Find the difference:

17 - 10 = 7

So the distance between 10 and 17 is 7 on a number line.

Answer:

2$ compatible numbers are 200 and 100

Step-by-step explanation:

Answer:

-3.5 is the answer

I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .