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
Ghella [55]
3 years ago
5

in the diagram, AB= BC. Prove that ABCD is a cyclic quadrilateral. Give reasons for any statements you make

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Answer:

Step-by-step explanation:

Given : AB = BC.

To Prove : ABCD is a cyclic quadrilateral.

Solution : AB ≅ CD [Given]

m∠BAC = m∠BCA = x° [Property of an isosceles triangle]

m∠ABC = 180° - (m∠BAC + m∠ACB) [Triangular sum theorem]

m∠ABC = 180° - (x + x)

              = 180° - 2x°

m∠ABC + m∠ADC = (180 - 2x) + 2x

                               = 180°

[Property of cyclic quadrilateral → Sum of opposite angles = 180°]

Hence proved.

You might be interested in
Which of the following situations results in 2/3 ? Select three that apply
alina1380 [7]

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

4 0
2 years ago
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​
ivann1987 [24]

Given :

  • A = {x: 2x² + 3x - 2 = 0 }
  • B = {x : x² + 3x - 4 = 0 }

To find :

  • (A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

  • A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

  • 2x² + 3x - 2 = 0
  • 2x² + 4x - x - 2 = 0
  • 2x( x + 2) -1( x + 2 ) = 0
  • (2x -1) ( x + 2) = 0
  • x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
  • x( x + 4)-1 ( x +4) = 0
  • (x + 4) ( x -1) = 0
  • x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
8 0
3 years ago
Can some one please help me on my home work please i just need some one to show me how they solved this equation answers and wor
nignag [31]

Step-by-step explanation:

well first of all you have to expand the brackets. so 5(y+2)=4(x-3)

5y+10=4x-12

then you subtract 10

5y=4x-12-10=4x-22

then divide by 5 to get the value of y

y=(4x-22)/5

3 0
2 years ago
10.6.23
Svetach [21]

I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

3 0
3 years ago
Plzzz tell me the answer and working out
postnew [5]
1. we know she needs 3 packs of biscuits
2. Shop A you only need to pay for 2 packs
3. Shop B you only need to pay for 2 packs
4. Shop C you need to pay for all three
5. so we know C is out of the option.
1.90 \times 2
so shop A and B will cost the least
3 0
3 years ago
Other questions:
  • hello I am trying to figure out how much rent I would have to pay if I abated the rent 30%. My rent is $610.
    12·1 answer
  • How many cups of sorbet are used in a cups of punch
    10·1 answer
  • The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $17.35. James ordered a medium dri
    8·1 answer
  • Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they
    6·1 answer
  • DESCRIBE A RULE YOU COULD USE TO FIND
    8·2 answers
  • —4 + 5 — 7 = 10 + 3х – 2х
    9·1 answer
  • Mrs. Cupps has 8 bags of candy and each bag weighs 2.3 pounds, how much do all 8 bags weigh?
    7·1 answer
  • 5) Find the value of x (pic below
    8·1 answer
  • Solve for x. 1/4+1/2+x=−3/4<br><br> Please Hurry!
    6·1 answer
  • 2. Write five different numbers for which 328,800 is the nearest hundred.3.Write five different numbers for which 659,000 is the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!