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?

Answers

Answer 1

Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence Criterion

What is the ASA Congruence Criterion?

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence Criterion

Learn more about the ASA Congruence Criterion on:

https://brainly.com/question/11637992

A Parallelogram With A Diagonal Drawn Through It Is Shown Below.Arlen Is Trying To Prove That RS TU,

Related Questions

This year 120 people signed up for team volleyball. If all the teams had the same number of players, how many people can be on a team?



Select the Hint button to view a hint.

A. 3 or 6 B. 3 or 9 C. 9 or 6 D. 3 or 6 or 9

Answers

Answer:

Hi It is A I just got it right

trust me

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

PLEASE HELP NO LINKS/FILES

Answers

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

help plz
help
help
help
help
help
help

Answers

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:

A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites, she has to leave for school. What is the approximate probability that she checked a social website first, then a school-related website? 0. 042 0. 267 0. 533 0. 667.

Answers

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 :)

Pearl is 54 5/6 inches tall. Lucas is 1 1/3 inches shorter than Pearl and Jane is 1 1/4
inches shorter than Lucas. How tall is Jane?

Answers

Answer:

52 1/4

Step-by-step explanation:

WILL GIVE BRAINLIEST!

Please look at the photo for the question !!!

Answers

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]

63 divided by 16,128 plss help it’s due wensday!!!!

Answers

Answer:

256 , or 0.00390625

Step-by-step explanation:

Consider the graph.



Which function best represents the distance remaining, in miles, after
x
minutes?


f
(
x
)
=
10
7
x
+
35

f ( x ) = 10 7 x + 35

f
(
x
)
=
7
10
x
+
35

f ( x ) = 7 10 x + 35

f
(
x
)
=

7
10
x
+
35

f ( x ) = − − 7 10 x + 35

f
(
x
)
=

10
7
x
+
35

f ( x ) = − − 10 7 x + 35

Answers

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:

write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)

Answers

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.

help me pls first person to answer CORRECTLY will get brainliest

Answers

the number of games that you buy

Questions 1 3 5 7 range and graph not needed

Answers

Answer:

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

Evaluate: 100−20.2×4.5.
i need this for imagen math

Answers

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

I need help with this please

Answers

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 ...

5x ... ≤ ...4y ... ≤ ...

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.)

Help!! I don’t understand these

Answers

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 }

One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?

Answers

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

The product of 0.4 and a number is 8

Answers

x = 20
8/0.4=20
Hope you get a good grade on your quiz/test!!

11.65×0.23 helpppp plssss

Answers

Answer:

2.6795

Step-by-step explanation:

Just ask! :)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

2.6795

Step-by-step explanation:

PLEASE HELP!!!
CORRECT ANSWER GETS BRAINLIEST

Answers

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

The car travels 60 km from city A to city B passed at speed x. On the way back, the speed was increased by 12 km / h. What is the initial speed if the car has traveled for a total of 10 hours?​

Answers

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!

I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP

Answers

What do you mean? What’s the question?

Answer:

Unknown

Step-by-step explanation:

Question, not provided.

Which of the following is equivalent to 2/9
A. 0.029
B.0.2
C.0.29
D.0.3
E.0.39

Answers

Answer:

B would be the answer:))

Step-by-step explanation:

Divide 2 by 9

I would say the answer is B because the answer is 0.222222 for the devils of 2/9.

x to the power of 2 add 3x

Answers

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)

(-a + (-b)) + (-c) = -(a + b) + (-c)

A:associative
B:commutative
C:distributive
D:opposite of a sum

Answers

Answer: c

Step-by-step explanation:

can someone help with this​

Answers

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:

URGENT!!!!!!!!!!!!!!! :

m(x) = -1/2f(x - 3) - 1

Answers

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

Solve (x – 3)2 = 49. Select the values of x.

–46

-4

10

52

Answers

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:

(x – 3)2 = 49

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

13^5/13^x=13^4
Does anyone know how to solve this?

Answers

[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 :>

Find X and show work please, answer as mixed number

4 1/2 ≤ 1.2x

Answers

the answer is 3 3/4

Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy? Solve your inequality by showing your work and steps. (10 points)
(no links and I will give brainliest)

Answers

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.

Find the equation that has a slope of -2 and passes through the point (0,4)
pleaseeeee

Answers

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

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