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Answer: see below proof

Step-by-step explanation:

Imagine a diagonal line AC

If AB = DC and AB // DC then angle BAC =

Angle ACD Alternate Interior angles theorem.

Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.

If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.

If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.

If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.

Answer:

50

Step-by-step explanation:

22 is 44% of 50. It's 50 because it's techincally half if you look at it. I don't know how  to really explain that well. But the answer is 50, trust me.

Answer:

brainly: this looks like a question for a calculator.

Step-by-step explanation:

Answer:

30.46

Step-by-step explanation:

Answer:

Concept: Piece values

Answer:

The value of u is 5.2

Step-by-step explanation:

.msd

Answer:

B and C are the answers

Step-by-step explanation:

this is the second time my answer has been deleted.

angles FMK and HMK are congruent because corresponding angles are congruent----  if you were to cut this in half horizontally, then place the two pieces on top of each other, you would see that the angles line up perfectly.

angles GMK and JNL are supplementary because they add up to 180 degrees-- Alternate exterior angles are supplementary.

Answer:

2. 3ft per second and 4ft per second

3. 9 cars every minute and 10 cars per minute

4. 48 miles per hour and 46 miles per hour

5. $3.5 for one box and $3.25 for one box

Step-by-step explanation:

2. 12/4 and 20/5

You have to split it up per second. Therefore dividing it will show you how fast it is moving per second.

3. 72/8 and 60/6

You have to split it up per minute. Therefore dividing it will show you how fast it is moving per minute.

4. 144/3 and 230/5

You have to split it up per hour. Therefore dividing it will show you how fast it is moving per hour.

5. 21/6 and 13/4

You have to split it up per box. Therefore dividing it will show you how much each box costs.

Answer:

he gained 6 dollars

Step-by-step explanation:

30 x 0.2

Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Lets suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

It is given that Tom bought a pen for $30 and sold it to gain 20% on his cost price.

Therefore,

30 x 20%

30 x 0.2 = 6 dollars

Thus, he gained 6 dollars.

Hence, Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.

Learn more about unit price here:

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Answer:

7:13

Step-by-step explanation: The ratio of mittens is 7 and the ratio of the total items (including the hats) would be 13, because 6+7=13. Therefore, the ratio of mittens to the total would be 7:13. Hope this helps ^-^.

Answer:

The copper percentage = 64%

Step-by-step explanation:

Given

The percentage of copper metal can be determined using the formula

Copper percentage = [Copper quantity / Total quantity] × 100

                                  = [16 / 25] × 100

                                   = 0.64 × 100

                                   = 64%

Therefore, the copper percentage = 64%

Answer:

20 gallon of gas is needed

Answer:

42.25

Step-by-step explanation:

Answer:

[tex]\frac{169}{4}[/tex] or 42.25

Step-by-step explanation:

If you turn the fractions into decimals they become easier to multiply.

1)  3.25 x 6.50 = 21.25

2) 21.25 x 2 = 42.25

Answer:

-3x+31

Step-by-step explanation:

Ok so first let's get the negative out of the parentheses

(2x+37-4)-(5x+2) -> 2x+37-4-5x-2

Now this will make it easier to simplify the equation

2x-5x+37-4-2

All you have to do from there is simplify

-3x+31

9514 1404 393

Answer:

  y = -5/3x -13/3

Step-by-step explanation:

In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:

We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). Whatever we do to one side of the equation, we must also do to the other side.

So, first we add the opposite of -5x to both sides of the equation.

  -5x +5x -3y = 13 +5x

  -3y = 13 +5x . . . . . . . . . collect terms

Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.

  (-1/3)(-3y) = (-1/3)(13 +5x)

  y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form

Answer:

It might be b

Step-by-step explanation:

I think it is B

Answer:

httfjydkyhfkugfufluyfluyflu

Step-by-step explanation:

Answer: [tex]x = 0[/tex]

Step-by-step explanation:

First, we need to get x alone.

To do this we must add -3 + 11. Which will get you 8.

The new equation will now be: [tex]x / 8 = 8[/tex].

Then, we continue to evaluate by subtracting 8 from the area where x is. But as you know, what we do to one side. We must do to the other.

So we subtract 8 from one side, and we subtract 8 from the other.

So the last equation would be.

[tex]x = 0[/tex]

Answer: 14 years

Step-by-step explanation:

Look at the graph and see where the line reaches $2500. Just by looking at the x-axis, you can rule out b and d since they deal with months not years

Answer:

92m!

Step-by-step explanation:

46 times 46 is 92

please give me brainliest!!!<3

Answer:

300

Step-by-step explanation:

Answer:

She actually does have enough beads to make 15 complete rings

Step-by-step explanation:

Answer:

A= 1/2 base*height

Step-by-step explanation:

: )

The correct equation for calculating the area of a triangle is D = 1/2 base · height.

The equation for calculating the area of a triangle is D = 1/2 base · height. This formula represents the most commonly used method for finding the area of a triangle.

To use this formula, you multiply the base of the triangle by its corresponding height, and then divide the result by 2.

This is because the area of a triangle is equal to half the product of its base and height.

By dividing by 2, we account for the fact that a triangle is essentially half of a parallelogram.

Therefore, the correct equation for calculating the area of a triangle is D = 1/2 base · height.

Learn more about the triangles here:

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Answer:

45

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3[23 + (4 - 2)³ - (6 - 2)²]

Step 2: Evaluate

9514 1404 393

Answer:

  A, D

Step-by-step explanation:

The length desired is opposite the given angle. The length given is adjacent to the given angle, so the tangent relation applies:

  Tan = Opposite/Adjacent

  tan(25.4°) = x/1600 . . . . . . . matches 1st choice

Multiplying by 1600 gives ...

  x = 1600·tan(25.4°) . . . . . . . matches 4th choice

Answer:

Answer is solved in the explanation below.

Step-by-step explanation:

Solution:

We have to repeat the process until the estimate is  the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)

729/27 = 27 (remainder 0)

Let's I am starting this process from 19

So,

729 divided by 19 =  38.3684

Ignoring the remainders

729 divided by 19 = 38

Now, average of 19 and 38 = (19+38)/2 = 28

729 divided by 28 = 26.03

ignoring the remainders = 26

Now, average of 28 and 26 = (28+26)/2= 54/2 = 27

So,

729 divided by 27 = 27

Hence,

estimate is the same as quotient ( and remainder = 0)

Answer: i know its -0.75, but thats decimal, you might just have to make that a fraction yourself, sorry

Step-by-step explanation:

Following are the calculation to the simplest form:

Given:

[tex]\frac{(-3^3)}{6^2}[/tex]

To find:

simplest form=?

Solution:

[tex]\to \frac{(-3^3)}{6^2}= \frac{(-27)}{36}= \frac{-9}{12}=\frac{-3}{4}[/tex]

Therefore, the final answer is "[tex]-\frac{3}{4}[/tex]".

Learn more:

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Answer: D: 2 1/2

Step-by-step explanation: