5. Justify the last two steps of the proof.


Given: RS = UT and RT = US

Prove: RST = UTS



proof | given


1. RS = UT | 1. Given

2. RT = US | 2. Given

3. ST = TS | 3. _____

4. RST = UTS | 4. _____

Answers

Answer 1

Answer:

From the question it is given in a ΔRST and Δ UTS  

RS = UT

RT = US

proof:

RS = UT    {given}

RT = US    {given}

ST = TS     {Common}

Therefore, by SSS theorem ΔRST and Δ UTS  is congurent

RST = UTS    {SSS Theeorem}

Answer 2

Answer:

3. Reflexive Property

4. SSS

Step-by-step explanation:


Related Questions

Y=2x+3
Y=-3x+3
X=? Y=?

Answers

taking

Y=2x+3____(1)

Y=-3x+3____(2)

making take equation 1 and equate to 2 since y=2x+3

2x+3=-3x + 3

bringing together like terms

2x+3x=3-3

5x=0 so

x=0

substitute x=0 in equation(2)

y=-3(0)+3

y=3

Which of the following is equivalent to the expression 8/3 - 5/6 - 2/12

Group of answer choices


1_2/3


14_2/3


2


13_1/3

Answers

Given:

The expression is

[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]

It can be written as

[tex]=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}[/tex]

Taking LCM, we get

[tex]=\dfrac{16-5-1}{6}[/tex]

[tex]=\dfrac{10}{6}[/tex]

[tex]=\dfrac{5}{3}[/tex]

The mixed fraction of this improper fraction is

[tex]=\dfrac{1\times 3+2}{3}[/tex]

[tex]=1\dfrac{2}{3}[/tex]

So, the expression [tex]1\dfrac{2}{3}[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

Solve for x. Round to the nearest hundredth

Answers

Step-by-step explanation:

done

....................

Michael buys a dozen donuts for his friends for $6 what is the unit rate

Answers

Answer:

6 dollars per dozen

Step-by-step explanation:

This is a fraction equal to

6 dollars ÷ 1 dozen

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

6 dollars ÷ 1

1 dozen ÷ 1

=  

6 dollars

1 dozen

=  

6 dollars

dozen

= 6 dollars per dozen

what is the 50th term in the arithmetic sequence -6,-1,4...?

Answers

Answer:

1.9

2.14

3 19

4.24

5.29

6.34

7. 39

8.44

9.49

10.54

11.59

12.64

13.69,

14.74

15.,79

16.,84

17.,89

18.,94

19.99

20.,104

21.109

22.,114

23.,119,

24.124

25.,129

26.,134,

27.139

28. 144

29.,149,

30.154

31.,159,

32. 164,

33.169,

34.174

35.179,

36 184,

37 189

38 ,194

39 ,199

40 ,204

41 209

42 214

43 219

44 224

45 229

46 234

47 239

48 244

49 249

50 254

Step-by-step explanation:

Counting up by 5

You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
A
50%
B
60%
с
20%
D
25%

Answers

Answer:

с ) 20%

Step-by-step explanation:

There are 5 orange candies, and 25 total candies to choose from. If you only want to pick the orange candies, then the probability would be 5/25, or 1/5.

1/5, in percentage, is 20%.

For ΔQRS use the Triangle Proportionality Theorem to solve for x.
After you have solved for x, what is the Perimeter of ΔQRS?

Can you answer, show work, and explain it to me?
I struggle a lot with this type of math, thank you.

Answers

Answer:

Thanks for the points :3

According to the stem and leaf plot above, how many students scored grades lower than $60

Answers

Answer:

7

Step-by-step explanation:

21,30,39,39,47,47,48.

basically 6|2 means 62 same with the others.

HOpe this helps plz hit the crown :D

Find x, y, and z.
10.
Z
Х
5
7

Answers

Answer: =10

Step-by-step explanation:

Plot 5 in the complex plane.

Answers

answer is there a photo or something we can see

Step-by-step explanation:

because just saying plot 5 doesn't make sense so we probably need a photo or more information

Can I see a photo because how I’m suppose to help you. Your just saying plot 5 in the complex plane with no image

Pls help! Will mark first correct answer brainliest

Answers

Answer:

1.25, 40

1.6, 30

Step-by-step explanation:

First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.

We write the equations: A + B = 70, (This is the lbs)

and, 1.25A + 1.6B = 1.4(70) (This is money)

Next, choose an equation you want to solve for, in this case, I'll choose A.

In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A

Now substitute this equation into the money equation.

1.25A + 1.6(70 - A) = 98

1.25A + 112 - 1.6A = 98

-0.35A = -14

multiply by negative

0.35A = 14

divide

A = 40

Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!

A pack of six cans of coffee cost $12. How much would 19 cans ofcoffee cost?

Answers

Answer: $38

Explanation: To find the answer, first of all we need to find out how much one can costs. We can do this by doing 12/6 and we discover that 1 can costs $2. We then do 19(2) to find the price of 19 cans and find out that it is $38. Hope this helped!

The graph below illustrates the time students took to complete a test when all students were allowed to finish. The distribution has mean 65 minutes and standard deviation 10 minutes.Using the Empirical Rule, if the instructor sets a time limit of 75 minutes, at least _____% of students should be able to finish because this is one standard deviation above the mean.

Answers

The answer for this question is 15%

There are 124 pages in a sketchbook. John used 36 pages. Miss Hamilton asks him to draw 2 pictures each week. How many weeks does John take to finish the sketchbook? Step by step explanation pls.

Answers

Answer:

44 weeks

Step-by-step explanation:

First, he’s already used 36 pages so he has 124-36=88 pages left to use.

Since he can use 2 pages per week, by dividing 88(# of pages left) by 2( pages per week), you will get the answer. 88÷2=44 weeks


Write an equation for the n
term of
the arithmetic sequence:
15, 28, 41, ...​

Answers

Answer:

13n+2

Step-by-step explanation:

find the difference between the numbers which is 13

》13n

from 13 to 15 you add 2

》13n+2

can someone plz help me witt this??

Answers

Answer:

23

Step-by-step explanation:

sythenic division hard asab

5x5x5x5x5x5=... plz answer

Answers

Answer: 15,625

Step-by-step explanation: 5x5x5x5x5x5= 15,625

Here is another number machine.

Input - x
_____

_____

Output - 4x+5

What operations should go in the boxes to make it work

Answers

Answer:

The 2nd box should be 4 × x and then the 3rd box should be + 5

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

We need to multiply 4 to input x and add 5 to the product to get the output 4x+5.

Given that, input of the function is x and the output of the function is 4x+5.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To get the out of the function 4x+5, we need to multiply 4 to x and add 5 to the product.

That is represented the figure given below.

Therefore, we need to multiply 4 to input x and add 5 to the product to get the output 4x+5.

To learn more about the function visit:

https://brainly.com/question/5975436.

#SPJ2

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?

Answers

Answer:

3/18

Step-by-step explanation:

Answer:

18:3

Step-by-step explanation:

acorns go first then squirrels cause the question says acorns TO squirrels

ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6

Answers

Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]

Result: [tex]\dfrac{17}{2}[/tex]

Step-by-step explanation:

Given phrase:  [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]

Required expression: [tex]\dfrac14\times(18+16)[/tex]    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]

Hence,     [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]  

Find the value of x in the following triangle

Answers

61 + 86 = 147

180 - 147 = 33

x = 33

the interior sum of angles is equal to 180 , in order to find x you would use the already established values of two corners and find the missing value

which equation represents the function?​

Answers

Answer:

[tex]y = \frac{5}{3}x +9[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First: We calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex](x_2,y_2) = (0,9)[/tex]

The slope becomes:

[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]

[tex]m = \frac{9+1}{0+6}[/tex]

[tex]m = \frac{10}{6}[/tex]

[tex]m = \frac{5}{3}[/tex]

The equation is then calculated as:

[tex]y - y_2 = m(x-x_2)[/tex]

So, we have:

[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]

[tex]y - 9 = \frac{5}{3}x[/tex]

Make y the subject

[tex]y = \frac{5}{3}x +9[/tex]

I GIVEEEEE BRAINLILST
I NEED HELPPPP

Answers

what do you need help on?

:):):):):):):):):):):):)):):):):):):):)

What is 5/6(6x-12)+14x=

Answers

Answer:

Dvfgghytjyjt

Step-by-step explanation:

5/6 * (6x - 12) + 14x =

please help asap !!!!

Answers

the answer should be 25 or near 25 okay

Answer:

25

Step-by-step explanation:

I believe that the mid-segment is the length of half the base.

what is the recursive formula for this sequence? 45,40,35,30,25 ...​

Answers

Answer:

-5

Step-by-step explanation:

each number in that line is just being subtracted by 5 each time. like 45-5=40 and 40-5=35 and so on.

Paul has a sum of $260 in $5 and $10 bills. If he has 40 bills in total, how many were of each denomination?

Answers

Answer:

28 5 dollar bills

12 10 dollar bills

Step-by-step explanation:

You can write two equations to model this situation'

x will be the number of 5 dollar bills

y will be the number of 10 dollar bills

x+y=40

5x+10y=260

There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)

So we have x+y=40

If I subtract y from both sides and divide by -1 we get

-x+40=y

We can then plug this value in for y in the second equation

5x+10(-x+40)=260

Distribute the 10 and combine like terms to get

-5x+400=260

subtract 400 from both sides and divide by -5 to get

x=28

This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y

28+y=40

Subtract 28 from both sides

y=12

This means that there were a total of 28 5 dollar bills and 12 10s

I doubled checked this in desmos and it checks out

A map that shows the distance from your school to the amusement park reveals that there is a right triangle formed if you draw a line from your house to the school then from the school to the amusement park, then from the amusement park to your house. The scale of the map is 1 inch for every 6 miles. What is the actual distance from your house to the amusement park?

A. 13 miles
B. 17 miles
C. 78 miles
D. 169 miles
**and pls try to explain it!*

Answers

Answer:

c) 78 miles

Step-by-step explanation:

12²+5²=c²

144+25=c²

169=c²

√169=√c²

13=c

13x6=78

Solve the system by substitution.
-5x+3y=2
Y=2x

Answers

Answer:

2 is the required answer.

Step-by-step explanation:

Solution:

Given:

-5x+3y=2..............(i)

Putting the value of y=2x in the equation (i); we get:

i.e -5x+3×2x=2

or, -5x+6x=2

or, x=2

i.e. x=2

y=2x=2×2=4

Find the coordinates of point B

Answers

The coordinate should be (4,5)
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