1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
4 years ago
11

Given: RW ≅ WT; UW ≅ WS Prove: RSTU is a parallelogram. Identify the steps that complete the proof.

Mathematics
2 answers:
JulijaS [17]4 years ago
7 0

Identify the steps that complete the proof.

♣ = <span>✔ vertical angles theorem</span>

♦ = <span>✔ SAS</span>

♠ = <span><span>✔ CPCTC</span></span>

stira [4]4 years ago
5 0

Answer with explanation:

Given: RW ≅ WT; UW ≅ WS

To Prove:≡ RSTU is a parallelogram.

Proof: In ΔRWU and ΔTWS

1. RW ≅ WT

2. UW ≅ WS

3. ∠RWU=∠TWS→→[Vertically opposite angles]

ΔRWU≅ΔTWS⇒⇒⇒[SAS]

RU=ST→[CPCT]

∠WRU=∠WTS⇒[C PCT]

RU║ST⇒Alternate angles are equal so lines are parallel.

⇒⇒⇒If in a Quadrilateral , diagonals bisect each other ,and one pair of opposite side is equal and parallel ,so it is a parallelogram.

∴Quadrilateral R STU is a parallelogram

You might be interested in
Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers 10.Give an example to supp
grandymaker [24]
Well because if you use 1,000 you know since 10 has 1 zero, you take 1 zero from 1,00 and it becomes 100.
6 0
3 years ago
ms Callahan is building a new dog pen for her dog. she has 24feet of fencing. the pen needs to be a rectangle. what is the lengt
NeX [460]
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet.  The perimeter is basically the distance around a figure.  The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w.  In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.

So, the formula is P=2l+2w.  P, the perimeter, is 24, so 24=2l+2w.  Let's try some values for l and see what we get for w.  If the length is 1, l=1.  24=(2*1)+2w.  24=2+2w.  22=2w.  w=11.  So if length is 1 foot, width is 11 feet.

What if l=2?  24=(2*2)+2w.  24=4+2w.  2w=20.  w=10.  If l=2, w=10.  And l=3?  24=(2*3)+2w.  24=6+2w.  18=2w.  w=9.  If l=3, w=9.  Do you see a pattern?  Every time we add 1 to l, we subtract 1 from w.  So if l=4, w=8.  If l=5, w=7.  If l=6, w=6.  Here, we start getting similar answers: if l=7, w=5.  If l=8, w=4.  Since we already know these values work, it doesn't matter whether we call it length or width.  So, our answers are below.

Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
6 0
3 years ago
Pls helpppp I give brainliest &lt;3​
Pavel [41]

Answer:

9cups of dried split peas

8 qts of water

3 cups of chopped onion

4 cups chopped celery

8 lbs Ham shank

Step-by-step explanation:

The recipe serves 8 people, so to figure out how much you need to serve 32 people you multiply each measurment by 4 because 8 x 4=32.

2 1/4 x 4 = 9

2 x 4 = 8

3/4 x 4 = 3

1 x 4 = 4

2 x 4 = 8

6 0
3 years ago
A cone is 3 inches high and has a base with a surface area of 7 square inches. What is the volume of the cone?
lawyer [7]

Answer: the answer should be 7

Step-by-step explanation:  V=πr2h

3=π·1.52·3

3≈7.06858

you can find the radius for the area of the base 7 by dividing by \pi like such 7/3.1459 the squared because remember its in r2 form which give you 1.5 then plug this in for one of two ways to solve A·\pi 1/3 or V=πr2h

4 0
3 years ago
a pentagon is a regular pentagon that has 5 sides, so each side has the same length that is (x - 1.5)cm. The perimeter is 22.5 c
Ivanshal [37]

Answer:

Step-by-step explanation:

5(x - 1.5) = 22.5

5x - 7.5 = 22.5

5x = 15

x = 3

8 0
3 years ago
Other questions:
  • How do you find the product when two exponents have the same exponent and different bases?
    5·1 answer
  • How do I find the value of x here?
    9·1 answer
  • Simple interest.<br><br> 2700=2200(1+r)^5
    13·2 answers
  • Pencils are sold in packages of 5. Explain why you need 6 packages in order to have enough for 27 students
    15·2 answers
  • The markup on a restaurant meal is 250%. A meal costs $7.30 to produce. How much will the customer be charged before tax and tip
    6·2 answers
  • Previous<br> 11<br><br><br><br><br><br><br><br><br><br> Solve 2+16y=3x+4 for y.
    9·1 answer
  • Need help dont know which one to chose
    13·1 answer
  • Find the value of 2 raise the power negative 6​
    5·1 answer
  • Plot the points (3, 6), (−3, 6), (–3, 1), and (3, 1) on the coordinate plane. Then complete the sentences.
    5·1 answer
  • Solve: ( 5<br> 13<br> +<br> 3<br> 91<br> ) ÷ ( 20<br> 13<br> −<br> 3<br> 39<br> )
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!