△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.

A: The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.

B:The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯

C:The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .

D:The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .

Answer:

Step-by-step explanation:

The numbers 4/5 and 9/10 are fractions. They multiply the variable 'b' in each case.

How to solve an equation like this

An example of an equation like this without fractions is ...

  6 + 3b = 8b

You solve this sort of equation by rearranging the equation so the terms having 'b' in them are all on one side of the equal sign. You want all of the terms not containing 'b' to be on the other side of the equal sign.

Here, the terms are mixed on the left, but the right has only a 'b' term. So, if we can remove the 'b' term from the left side, we will have reached the goal

In the example equation, we do that by adding -3b to both sides of the equation.

  6 +3b -3b = 8b -3b

Simplifying, we have ...

  6 = 5b

Now, we divide by the coefficient of 'b', which is 5. We divide both sides of the equation by that:

  6/5 = (5b)/5

  6/5 = b . . . . after simplifying

_____

How to solve this equation

The given equation is solved exactly the same way. We add the opposite of the 'b' term that we don't want (which is 4/5b):

  6 + 4/5b -4/5b = 9/10b -4/5b

Simplifying, this is ...

  6 = (9/10 -4/5)b = (9/10 -8/10)b

  6 = 1/10b

We can make the coefficient of 'b' be 1 by multiplying it by 10. We have to do that to both sides of the equation:

  (10)(6) = (10)(1/10)b

  60 = b . . . . . the solution

_____

Comment on equations in general

The one absolute rule in Algebra is that the equal sign must remain valid. You keep that commandment by observing the properties of equality. Essentially, you can do anything you like to one side of an equation, as long as you do exactly the same thing to the other side.

Here, when we say "subtract 4/5b", the way we keep this commandment is that we do it to both sides of the equation. The same is true for "multiply by 10". This is emphasized by the bold highlighting in the solution shown above.

Comment on arithmetic

In solving this equation, we did the arithmetic using the given fractions. Often, for an equation like this, you will be told the first step is to "eliminate fractions". You can do that here by multiplying the equation by 10:

  10(6 +4/5b) = 10(9/10b)

  60 +8b = 9b

Now, the unwanted term is 8b, so subtracting that (from both sides) gives ...

  60 = b

This is essentially a "2-step" equation, either way you do it.

It is helpful if you are comfortable doing arithmetic with fractions, mixed numbers, decimals, percentages, and numbers in scientific notation, as well as integers.

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

go it right on edge

3496000000

380000

2Step-by-step explanation:

3/4 of 1/2

⚠️REMEMBER IN MATH THE WORD *OF* STANDS FOR MULTIPLICATION⚠️

so 3/4 x 1/2

when multiplying two fractions, we multiply the numerators together and the denominators together

(3 x 1) / (1 x 2)

that is

3/8

so 3/4 of 1/2 is 3/8

Hope this helps :)

[tex]\frac{3}{4} *\frac{1}{2}[/tex]

Answer:

7000

Step-by-step explanation:

5 or more, raise the score,

4 or less, let it rest

So we look at number 2 and is it 5 or more no, it is 4 and less so we leave the number 7 alone and make it to 7000

(Only answered for points, this is kind of a dumb question if you're in 3rd and higher)

Answer:

option 2 i think i hope i am right

Answer:

30

Step-by-step explanation:

Ekmdmdlwlmxmdkwloelld

Answer:

60

Step-by-step explanation:

If the ratio is 3/6 cars (3 = blue, 6 = red) that means that we can simplify it to 1/2. Therefore the amount of red cars is double the amount of blue cars. 30 x 2 = 60, 30 + 60 = 90.

I hope this helps! And good luck!

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

Answer:

He can make 12!

Step-by-step explanation:

The greatest number of packages that Marcus can make using all the soap and toothbrushes is 12.

Since it contains  36 bars of soap and 24 toothbrushes

So here the greatest number should be

= number of bars of soap - toothbrushes

= 36-24

= 12

Hence, The greatest number of packages that Marcus can make using all the soap and toothbrushes is 12.

Learn more about number here: https://brainly.com/question/24560327

Answer:

Answer is after 20 miles

Step-by-step explanation:

10 +2.5x = 3x

10 = 3x-2.5x

10=0.5x

10/.5=x

x=20

At 20 miles they both have a cost of 60

Let's see what to do buddy....

____________________________

Step (1)

Express taxi charges 2.50 $ per mile.

So if each mile equals x the taxi charges 2.50 x.

There's the starting fare too.

So ;

Express taxi charges by the following function :

[tex]f(x) = 2.5x + 10[/tex]

____________________________

Step (2)

Speedy taxi charges 3 $ per mile.

So if each mile equals x the taxi charges 3x .

There's no starting fare.

So ;

Speedy taxi charges by the following function :

[tex]g(x) = 3x[/tex]

____________________________

Step (3)

To find that after how many miles is the cost of both taxi services the same , we must equal their functions.

Then solve for x .

So we have :

[tex]f(x) = g(x)[/tex]

[tex]2.5x + 10 = 3x[/tex]

Subtract the sides of the equation minus 2.5x :

[tex]10 = 0.5x[/tex]

[tex]10 = \frac{1}{2}x \\ [/tex]

Multiply the sides of the equation by 2 :

[tex]x = 20[/tex]

So after 20 miles both taxi services have the same cost.

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

6 4/9

Step-by-step explanation:

Sorry if it’s a little messy.

Maths is hard but we can do this!

Answer:

X increasing by one and Y decrasees by 2

The correct relation between x and y is [tex]y=x-2[/tex].

Given information:

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the given table, it can be seen that with an increase in the value of x, the value of y also increases.

From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.

The relation between x and y can be written as,

[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]

Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].

For more details, refer to the link:

https://brainly.com/question/20632687

Answer:

The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation:

this is the exact answer word for word, so id recommend to put it in your own words

ex. when i move one point the other points move so the lengths stay equal to each other

Answer:

The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation:

PLATO answer.

Answer:

True

Step-by-step explanation:

Ovious surely it is true

Answer:

Answer is true

:)

Answer:

this

answer

will

be

in

your

book

To be parallel must the slope of the lines equal to each other.

_________________________________

[tex]8x + 2y = 12[/tex]

[tex]2y = - 8x + 12[/tex]

[tex]y = - 4x + 6[/tex]

_________________________________

From left to right ;

1) The slope-intercept form is :

[tex]y = 4x + 4[/tex]

Which means the slope = 4

Look : 4 ≠ -4 thus this is not the answer.

+++++++++++++++++++++++++++++++++++++++

2) The slope-intercept form is :

[tex]y = - \frac{1}{4}x + \frac{3}{4} \\ [/tex]

Which means the slope = -¼

Look : -¼ ≠ -4 thus this is not the answer.

+++++++++++++++++++++++++++++++++++++++

3) The slope-intercept form is :

[tex]y = - 4x - 6[/tex]

Which means the slope = -4

Look : -4 = -4 thus this is the answer.

+++++++++++++++++++++++++++++++++++++++

4) The slope-intercept form is :

[tex]y = \frac{1}{4}x + \frac{11}{4}\\ [/tex]

Which means slope = ¼

Look : ¼ ≠ -4 thus this is not the answer.

_________________________________

And we're done...

♥️♥️♥️♥️♥️

Answer:

Angle OCB= 35 degrees and Angle BOC= 119

Step-by-step explanation:

ANGLE OCB= 1/2 C (Construction of bisector)

= 1/2 70

= 35

ANGLE OBC= 1/2 B (Construction of bisector)

= 1/2 52

= 26

Therefore, in triangle BOC,

180 degree= ANGLE OBC+ANGLE BOC+ANGLE OCB

180= 35+26+ANGLE BOC

180= 61+ANGLE BOC

ANGLE BOC= 180-61

ANGLE BOC= 119

Answer:

angle ocb=58°

angleboc=96°

Step-by-step explanation:

first get the measure of angle acb which is 58°

this is becoz the total angles in a triangle add up to 180°

angle cbo =26° and angle bco=58°

therefore to get the remaining angle boc ,u add 58 &26 ,then minus from 180

the answer is 96°

Answer:

Is option 1 hope this helps

Answer:

The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.

Step-by-step explanation:

Answer:

Slope would be m= -1, y-int is 2.

Step-by-step explanation:

To find slope, use (y2-y1/x2-x1) Plugging this in, we get (-5-(-1)/(7-3). This can be simplified to -4/4, which is -1. After we find slope, we plug in one of the points to find be. Using (7,-5), y=-5 and x=7. So, -5=7(-1)+b. -5=-7+b. Add 7 to both sides, b=2. Therefore, the entire equation is y=-x+2.

Answer:

The answer is 1

Step-by-step explanation:

use slope formula!

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

3 is xsub1

-1 is ysub1

7 is xsub2

-5 is ysub2

substitute and solve!

[tex]m= \frac{-5-(-1)}{7-3}\\= \frac{-5+1}{4}\\= \frac{-4}{4}\\= -1[/tex]

slope is 1

hope this helps!

Answer:

4p + 3= 22.6

There hope this helps you

Answer:

False

Step-by-step explanation:

This is false because 1 meter has 36 inches.

Answer: True

Step-by-step explanation:

Meters Inches

1 m         39.37 in

2 m         78.74 in

3 m         118.11 in

4 m         157.48 in

Answer:

2

Step-by-step explanation:

Answer:

y = 40°

Step-by-step explanation:

Hi !

2y + (y + 10) + 50° = 180°

3y = 180° - 50° - 10°

3y = 120°

y = 120° ÷ 3

y = 40°

Good luck !

9514 1404 393

Answer:

  B.  3x^2 +11x -20 = 0

Step-by-step explanation:

For solutions p and q, the quadratic will be

  (x -p)(x -q) = 0

We notice that the leading coefficients of the offered answer choices are greater than 1, so it will be convenient to use a value that "clears fractions."

  (x -4/3)(x -(-5)) = 0

  3(x -4/3)(x +5) = 0 . . . . multiply by 3 to clear the fraction

  (3x -4)(x +5) = 0 . . . . . . clear the fraction

  3x(x +5) -4(x +5) = 0 . . use the distributive property

  3x^2 +15x -4x -20 = 0 . . . . use the distributive property again

  3x^2 +11x -20 = 0 . . . . collect terms

_____

The constant in the product of factors is the product of roots:

  (x -p)(x -q) = x^2 -(p+q)x +pq

Here, that would mean the constant would be (4/3)(-5) = -20/3.

If we compare the above quadratic to the standard form:

  ax^2 +bx +c = 0

we find that we can divide the standard form equation by 'a' to get ...

  pq = c/a

That is, c/a = -20/3, so we might start looking for an answer choice that has a leading coefficient of a=3 and a constant of c=-20.

Answer:

Yes

Step-by-step explanation:

The lines in question have no degree angle to them. Don't let the line in the middle confuse you!

Hope this helps!

Answer:

5 possibly.

Step-by-step explanation:

If you can give me the answer to the equation I could give you a more accurate answer.

Answer:

37.4

Step-by-step explanation:

the number places after the column go as followed ; tenth, hundredths, thousandths, ten thousandths