The proof that UX ≅ SV is shown.

Given: △STU an equilateral triangle

∠TXU ≅ ∠TVS

Prove: UX ≅ SV

Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.

What is the missing statement in the proof?

Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV

Answers

Answer 1

Answer:

making it very simple it is D Edge 2021

Step-by-step explanation:

Answer 2

The correct option is △ TUX ≅ △ TSV

What is CPCTC?

CPCTC stands for "corresponding parts of congruent triangles are congruent" and tells us if two or more triangles are congruent, then their corresponding angles and sides are congruent as well.

Given that, △STU an equilateral triangle and ∠TXU ≅ ∠ TVS, and UX ≅ SV by CPCTC so,

∠TXU ≅ ∠TVS →  given

∠STV ≅ ∠UTX → reflex. prop.

△STU is an equilateral triangle →  given

ST ≅ UT  → sides of an equilat. △ are ≅

△ TUX ≅ △ TSV by AAS rule

UX ≅ SV by CPCTC

According to the given proof, the only option fitting is option D.

Hence, The correct option is △ TUX ≅ △ TSV

For more references on CPCTC, click;

https://brainly.com/question/14361320

#SPJ6


Related Questions

PLZ HELP THIS IS COMPLICATED!!!

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Answer:

The closet one is 5 mi

Step-by-step explanation:

Its correct

whats 2 plus 2 you get 22 points and brainliest

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Answer:

2+2=4

Step-by-step explanation:

You have to 2 circles and another 2 circles how many circles you got?

You got 4 circles in total.

Answer:

2+2 is not 22 its 4

Step-by-step explanation:

Pls help! I’m giving out brainliest to the first person who answers!

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Answer:

1=137

2=43

3=137

4=43

5=43

6=137

7=43

8=137

Cash register contains only five dollar and ten dollar bills. Contains twice as many five's as ten's The total amount of money in the cash register is $720. How many tens are in the cash register? 

Answers

Answer: 36

Step-by-step explanation:

5x + 10y = 720

y=1/2x

tens = 36

What is the range of f

Answers

Step-by-step explanation:

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}

NEED HELP AND FAST IM ONLINE WITH MY TEACHER
Daniel worked for 2 1/3 hours and earned $18.20.

How much would he make if he worked for 5 1/4 hours?

Answers

Answer:

2 1/3hrs→ $18.20

1 hr→ $7.80

5 1/4hrs→ $7.80x5 1/4= $40.95

Step-by-step explanation:

here u go pls make me brainliest

Answer:

just above 41 dollars but since there is only two decimals $41.00

Step-by-step explanation:

What is the sum of Square root of -2 and square root of -18?

Answers

Answer:

5.65685425 i think

Step-by-p explanation:

need help with this. its very hard and i dont know what to do and my work is due at 11:59 pm today .

Answers

Answer:

125°

Step-by-step explanation:

Sum of all the internal angles in a triangle is 180°

So, we have,

67°+58°+ Adjacent angle of 1 = 180°

125°+Adjacent angle of 1 = 180°

Adjacent angle of 1 = 180° - 125° = 55°

Angle 1 and its adjacent angle are supplementary

So, Angle 1 + Adjacent angle of 1 = 180°

Angle 1 + 55° = 180°

Angle 1 = 180° - 55° = 125°

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying t, is t = 1/500 d. how long will it take the airplane to travel 800 miles.

Answers

Answer:

Step-by-step explanation:

t = 1/500d....when d = 800

t = (1/500 * 800)

t = 800/500

t = 1.6 hrs <==

A man sold two radios at Rs. 4800 each. On one he gains 20% and on the another
he loses 20% . Find the gain or loss percent in the whole transaction.

Answers

Given:

SP of first Radio = Rs. 4800

Gain% on first radio = 20%

Find:

The gain or loss percent in the whole transaction.

Solution:

We know that,

CP = (100/100 + gain% ) * SP

Hence,

⟹ CP of first Radio = (100/100 + 20) * 4800

⟹ CP of first Radio = 100 * 4800/120

⟹ CP of first Radio = Rs. 4000

Similarly,

SP = (100 - loss%/100) * CP

⟹ 4800 = (100 - 20/100) * CP of second Radio

⟹ 4800 * 100/80 = CP of second Radio

⟹ Rs.6000 = CP of second Radio

Now,

Total SP of radios = 4800 + 4800 = Rs. 9600

Total CP of radios = 4000 + 6000 = Rs. 10000.

We observe that,

CP > SP

So, a loss is occured.

⟹ Loss = CP - SP

⟹ Loss = 10000 - 9600

⟹ Loss = Rs. 400

Now,

Loss% = (Loss/CP) * 100

⟹ Loss% = 400/10000 * 100

⟹ Loss% = 4%

∴ The loss occurred in the whole transaction is 4 %.

I hope it will help you.

Regards.

Answer:

your answer is in pic siso❤❤

❤❤

Part A
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation.

A. an = 14 + 9(n + 1)
B. an = 5 + 9n
C. an = 14 + 9n
D. an = 5 + 9(n + 1)
Part B
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.

A. an = an – 1 + 5; a1 = 14
B. an = an – 1 + 23; a1 = 9
C. an = an – 1 + 14; a1 = 9
D. an = an – 1 + 9; a1 = 14

Answers

Answer: C

For part b, the answer is also C.

Step-by-step explanation:

14 Is the rate for the first pizza, then add 9 per pizza after that, so an=14+9n

which of the following rational numbers is equal to 2.4 repeating?
22/9, 24/9, 26/9, 28/9

Answers

The answer would be 22 over 9. I hope this helps with the test

Answer:

22/9

Step-by-step explanation: I had this answer and got it right.

Mrs.canales class is selling frozen pizza to earn money for a field trip.For every pizza they sell they earn $5.35 .They currently have $182.90 their goal is $750.00 how many more pizzas do they need ?

Answers

Answer:

their you go cuz

Step-by-step explanation:

They still have to earn:

$750 - $182.9 = $567.1

and if they make $5.35 for every pizza sold:

$567.1 : $5.35 = 106

Answer:

They must sell 106 pizzas more.

Answer:

They must sell 106 pizzas more.

Step-by-step explanation:

They still have to earn:

$750 - $182.9 = $567.1

and if they make $5.35 for every pizza sold:

$567.1 : $5.35 = 106

Answer:

They must sell 106 pizzas more.

Paul bought a stock for $98. He sold it for $62. What was the percent markdown on the stock? Enter the missing part of the answer.

Answers

Answer:

it was a 36.73% decrease

Step-by-step explanation:

62/98 = .63265

1-.63265 = .3673

The speed limit on a road is 45 miles per hour. What is this rate in miles per​ minute?

Answers

1 hour = 60 minutes

Divide miles per hour by 60 minutes:

45/ 60 = 0.75 miles per minute

If you need the answer as a fraction 0.75 = 3/4 miles per minute.

Use the given picture and find the value of x and y

Answers

Answer:

heres your answer maybe

Step-by-step explanation:

start with this in a explanation to find your answer.

(9y+17)+(10y)+(11y-1)=the value of Y

(6x-13)cm+(4x+3)cm*divided by 18cm= the value of X

Solve for v.
4(v + 2) = 20
V =

Answers

Answer:

v= 3

Step-by-step explanation:

hope this helps!

Answer:

V = 3

Step-by-step explanation:

4(v + 2) = 20               we must first distribute

4v + 8 = 20                 we subtract 8 from both sides

4v + 8 - 8 = 20 - 8      we simplify that

4v = 12                        we divide both sides by 12 to isolate v

V = 3

if measure of angle TAR and angle RAP are complementary angles where m < TAR is 3 times m

Answers

Just multiply the triangle times three

Rick bought 5 yogurt bars at a snack shop. Each yogurt bar cost $1.70.

Complete the table to show the price of 2, 3, 4, and 5 yogurt bars.

Number of Yogurt Bars Price
1 $1.70
2 $
3 $
4 $
5 $

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each table entry has $1.70 added to the previous entry.

Bars, Price

1, $1.70

2, $3.40

3, $5.10

4, $6.80

5, $8.50

Solve the inequality:


11x+12≥45

Select one:

x>3

x≤3

x<3

x≥3

Answers

Answer:

ALL OF THEM

Step-by-step explanation:

Answer:

x≥3

Step-by-step explanation:

subtract 12 from each side

11x≥33

divide by 11

x≥3

mark the x intercepts in red and mark the y intercepts in blue: which points are red and which points are blue? i will MARK AS BRAINIEST !

Answers

yes i agree with the other person

Question 3
10 pts
In the transformed quadratic functiong (X) = (x – 8)2 + 5, two
transformations occurred: horizontal translation to the right by 8 units
and
O Vertical translation up by 5 units
O Vertical Translation down by 5 units
Vertical stretch by a factory of 5
O Reflection over the X – axis
10t

Answers

Answer:

              Vertical translation up by 5 units

Explanation:

From vertex form of quadratic function g(x)=a(x-h)²+k  the h and k are coordinates of vertex transformed from point (0,0) which is the vertex of parental function f(x)=ax²

It means the h determines how many units we moved parental graph horizontaly (to the left  if h<0, to the right if h>0) and the k determines how many units we moved parental graph verticaly  (down if h<0, up if  h>0)

g(x) = (x - 8)² + 5  ⇒  h = 8,  k = 5

So if h and k are >0 it means the parental graph was moved to the right and up.


Help please this is very hard idk what to do

Answers

Answer:b

Step-by-step explanation:

the answer is the second one

Answer:

Second graph

Step-by-step explanation:

First, solve the inequality:

Add 8 to each side, so it now looks like this: 5x ≤ -10Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x ≤ -2

Find the graph the matches the solution:

First one is x ≤ 2, so it incorrectSecond one is x ≤ -2, so it is correct

I hope this helps!

What is 2+2+5+4753%-474\3674

Answers

Answer:

54.4009853

Step-by-step explanation:

Simplify each term.  

2 + 5 +47.53 − 237 /1837

Find the common denominator.

2 ⋅ 1837 /1837 + 5 ⋅ 1837 /1837 + 47.53 ⋅ 1837/1837 − 237 /1837

Combine fractions.

3674 + 9185 + 87312.61 − 237 /1837

Simplify the numerator.

99934.61 /1837

Divide  99934.61  by  1837 .

=54.4009853

9.7814 1 decimal place

Answers

Answer:it’s the thousands place

Step-by-step explanation:

The length of the base on an
isosceles triangle is 5x. The length of
a leg is 6x + 8. The perimeter of the
triangle is 107. Find the length of the
base.

Answers

Answer:

455/17 or 26 13/17

Step-by-step explanation:

Since the triangle is an isosceles triangle the legs are the same length.

2(6x+8) + 5x= Perimeter

12x+16+5x= Perimeter

Perimeter =107

17x=107-16

17x=91

x=91/17

Since we are trying to find the base which is 5x, we can substitute.

5*91/17= 455/17 or 26 13/17

Which of the following equations is linear?
y= 1x1
y=2
x2 + 5 = y
y= 1

Answers

Answer:

x2 + 5 = y

Step-by-step explanation:

switch them around

y = -2x -5

this is linear

Solve the following equation for a number x.
Verify that your solution is correct.
-34 = 7x + 1

Answers

Answer:

-5

Step-by-step explanation:

-34=7x+1

-34 -1=7x

7x = -35

x = -5


HURRY I HAVE 5 MINUTES LEFT!!!!

Which expression has a positive quotient?

-3/4 and -2/3

-1/8 and 3 1/5

2 2/7 and -1-5

-6 and 5/3

Answers

the answer is -3/4 and -2/3

Answer:

Two negatives or two positives= positive

one negative and positive=negative

Step-by-step explanation:

-3/4 and -2/3 positive

-1/8 and 3 1/5 negative

2 2/7 and  -1/5 negative

-6 and 5/3 negative

Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house. How many rooms will she be able to paint if she shares the paint equally in each room?

Answers

Answer:

3 rooms can be fully painted if the paint is shared equally.

As well as 2/3 of another room.

Step-by-step explanation:

Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house.

Hence:

1 ½ = 1 room

10 ½ = x

Cross Multiply

x × 1 ½ = 10 ½ × 1

x = 10 ½ × 1/1 ½

x = 11/2 ÷ 3/2

x = 11/2 × 2/3

x = 11/3

x= 3 2/3 rooms

How many rooms will she be able to paint if she shares the paint equally in each room?

Hence, she will be able to paint 3 rooms fully as well as 2/3 of another room.

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