A parallelogram with a diagonal drawn through it is shown below.



Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.

STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.


What is the missing reason in the proof?

Answer:

Hope this helps

Step-by-step explanation:

a) x^2 + 3x = x(x+3)

b) 2x^2 - 8x = 2x(x - 4)

c) 6x + 9x^3 = 3x(2 + 3x^2)

d) 12x^3 - 4x^2 = 4x^2(3x - 1)

Answer:

7/8 yards

Step-by-step explanation:

converting each fraction to match 1/8 would be

1/4=2/8

1/8

1/2=4/8

add them together and get 7/8

Answer:

y=-2x+4

Step-by-step explanation:

y=mx+b

y=-2x+b

4=-2(0)+b

4=0+b

4=b

y=-2x+4

What do you mean? What’s the question?

Answer:

Unknown

Step-by-step explanation:

Question, not provided.

Answer:

54 km/h

Step-by-step explanation:

use s=½(u+v)t

600=½(x+x+12)10

600=½(2x+12)10

600=(2x+12)5

600=10x+60

540=10x

x=54 km/h

I think this is how to do it, I'm so sorry if I do it wrong!

Answer: c

Step-by-step explanation:

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)

Answer: -8 - 17 = -25

Step-by-step explanation: I HOPE THIS HELPS

Answer:

-25° F

Step-by-step explanation:

We start off at - 8° F

The temperature drops 17 degrees by the end of the day

The temperature is now - 8 - 17 = -25° F

Answer:

Hi It is A I just got it right

trust me

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the range is pattern is -4

[tex]\text{The answer is}~ -4~ \text{because the relation is}~ y = -4x + (-6)[/tex]

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

Answer:

52 1/4

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

boundary line

When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.

  4y ≤ -5x -4 . . . . subtract 5x from both sides

  y = -5/4x -1 . . . . divide both sides by 4

This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.

line type and shading

The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.

The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.

_____

Additional comment

You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...

These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)

Answer:

y=-2x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-6)/(0-(-3))

m=-6/(0+3)

m=-6/3

m=-2

y-y1=m(x-x1)

y-6=-2(x-(-3))

y-6=-2(x+3)

y=-2x-6+6

y=-2x

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Answer:

There is no answer from my working the answer should be 55÷2

The value of x in the expression is 55/2 or 27½

From the question given above, we obtained:

The value of x can be obtained as follow:

(x – 3)2 = 49

Clear the bracket

2x – 6 = 49

Collect like terms

2x = 49 + 6

2x = 55

Divide both side by 2

x = 55 / 2 or 27½

Thus, the value of x is 55/2 or 27½

No option is correct.

Learn more about linear equation:

https://brainly.com/question/17053400

Answer:

X=5

The factors of x^2 + 2x - 35 are

(X-5) (x+7)

Set x equal to zero & solve

X-5=0

X=5

Step-by-step explanation:

the number of games that you buy

The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

Learn more about probability here:https://brainly.com/question/25688842

Answer:

0.267

Step-by-step explanation:

Total websites = school websites (2) + social websites (4) = 6

Checking social website = social websites (4) /Total websites (6) = 2/3

Total websites is 5

Checking social website = school websites (2) /Total websites (5)

4/6 x 2/5 = 0.2666

Answer: 0.267

Hope this helps :)

[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]

ANSWER: x = 1

ok done. Thank to me :>

Answer:

2.6795

Step-by-step explanation:

Just ask! :)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

2.6795

Step-by-step explanation:

Answer: 7 packages.

Step-by-step explanation:

Let x represent number of cookie packages.

We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.

Amount left after buying notebook would be .

As Maya needs to save $7.75, so money left to buy cookies would be .

We are also told that cost of each cookie package is $0.25. The cost of x packages would be .

The cost of x packages should be less than or equal to 7.75.

Therefore, Maya can buy at-most 7 packages.

Have a great Day/Night

Answer:

7 packages

Step-by-step explanation:

Let x represent number of cookie packages.

We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.

Amount left after buying notebook would be .

As Maya needs to save $7.75, so money left to buy cookies would be .

We are also told that cost of each cookie package is $0.25. The cost of x packages would be .

The cost of x packages should be less than or equal to 7.75.

Therefore, Maya can buy at-most 7 packages.

Answer:

B would be the answer:))

Step-by-step explanation:

Divide 2 by 9

Answer:

256 , or 0.00390625

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-|x+3| has a x-intercept of -3. A is the only option with -3 as an x-intercept.

-hope it helps

Answer:

answer be A

Step-by-step explanation:

Answer:

I think D because 2 negative equal a positive

Step-by-step explanation:

hope this helps

Answer:

D

Step-by-step explanation:

I believe the correct answer choice is D!

This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22[tex]\frac{2}{5}[/tex] a positive number and the 40[tex]\frac{1}{5}[/tex] a positive as well.

The parenthesis are representing the multiplication proccesses.

-(-x) = x  ---> positive number

Answer:

A: 9x = 0

Step-by-step explanation:

Description of it's end behavior as * Gets larger 8. Match each rational function with a larger. The value of the expression gets A.9x closer and closer to 0. : 2, The value of the expression gets closer and closer to 1. 2 3. The value of the expression gets 92+ closer and closer to 9. E. 9442 4. The value of the expression is 99 98+2 5. The value of the expression gets larger and larger in the positive direction. 6. The value of the expression gets larger and larger in the negative direction:

Answer:

First one :

Function? Yes

Domain : { -1 , -2 , -3 }

Range { 10 , 13 , 16 }

Second one:

Function? No

Domain : { 2 , 3 }

Range : { 10 , 13 , 16 }

Third one :

Function ? No

Domain : { 33 , 35 , 36 }

Range : { 8 , 10 }

Step-by-step explanation:

A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.

The domain is the set of x values in a relation whereas the range is the set of y values in a relation

For the first one. No x value repeats, each input has its own output therefore this is a function.

Domain : { -1 , -2 , -3 }

Range { 10 , 13 , 16 }

The second one : The x value 2 repeats therefore the relation is not a function.

Domain : { 2 , 3 }

Range : { 10 , 13 , 16 }

The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )

Domain : { 33 , 35 , 36 }

Range : { 8 , 10 }

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1