The figure below shows rectangle ABCD:
Rectangle ABCD with diagonals AC and BD passing through point E

The following two-column proof with a missing statement proves that the diagonals of the rectangle bisect each other:


Statement Reason
ABCD is a rectangle. Given
Line segment AB and Line segment CD are parallel. Definition of a Parallelogram
Line segment AD and Line segment BC are parallel. Definition of a Parallelogram
Alternate interior angles theorem
Line segment BC is congruent to line segment AD. Definition of a Parallelogram
∠ADB ≅ ∠CBD Alternate interior angles theorem
ΔADE ≅ ΔCBE Angle-Side-Angle (ASA) Postulate
Line segment BE is congruent to line segment DE. CPCTC
Line segment AE is congruent to line segment CE. CPCTC
Line segment AC bisects Line segment BD. Definition of a bisector


Which statement can be used to fill in the blank space?
A. ∠ABD ≅ ∠DBC
B. ∠CAD ≅ ∠ACB
C. ∠BDA ≅ ∠BDC
D. ∠CAB ≅ ∠ACB

Answers

Answer 1

Answer:

∠ADB ≅ ∠CBD

Step-by-step explanation:

I did the quiz and got an hundred.


Related Questions

Which line is parallel to a line that has a slope of -5
and a y-intercept at (0-2)?

Line AC (Blue)
Line GH (Pink)
Line DF (Red)
Line IJ (Green)

Answers

Answer:

Line IJ

Step-by-step explanation:

In the equation cd = -56, find the value of d if c = 4.​

Answers

Answer:

-14

Step-by-step explanation:

CD= -56

C=4

D= CD/C

= -56/4

= -14

Hello there!

cd=-56.

We are given that

c=4

We can plug it into the equation instead of c:

4d=-56

Now we must divide both sides by 4 in order to isolate d:

d=-14

Remember that whatever we do to one side, we do to the other.

Hope it helps! :)

[tex]GraceRosalia[/tex]

[tex]\huge\bold\red{{HELP}}[/tex]
Please answer it with solution​

Answers

Answer:

x = - 2 2/3

y =  - 4 1/3

Step-by-step explanation:

-4x -2y = - 2

4x +8y = -24

Now if you just add those 2 equations, what will happen is that the xs will cancel. They are equal but opposite in sign

6y = - 26              Now divide by 6

6y/6 = -26/6        Combine

y = - 4 2/6 = - 4 2/6

y = - 4 1/3

Now use the top equation to find x

-4x - 2(-4 1/3) = - 2

-4x +  8 2/3 = - 2                     Subtract 8 2/3 from both sides

- 4x = - 2 - 8 2/3                     Combine

- 4x = - 10 2/3                         Divide by - 4

x = - 10 2/3 / - 4

x = - 2 2/3          

9514 1404 393

Answer:

  (x, y) = (8/3, -13/3)

Step-by-step explanation:

The x-coefficients are opposites, so the x-terms can be eliminated simply by adding the equations.

  (-4x -2y) +(4x +8y) = (-2) +(-24)

  6y = -26

  y = -26/6 = -13/3

Substituting into the first equation gives ...

  -4x -2(-13/3) = -2

  2x -13/3 = 1 . . . . . . . . divide by -2

  2x = 16/3 . . . . . . . . . add 13/3

  x = 8/3

The solution is (x, y) = (8/3, -13/3).

IM MARKING BRAINLEIST IF YOU ANSWER RIGHT GUYSS!!

Answers

Answer:

the slope is 2 because if your look at the points that the line crosses

PLS HELP Which expression is equivalent to 7y−3x−2y?

2xy

7y−5x

4x−2y

5y−3x

Answers

Answer:

is a equation? because you can do this 3x-2=7 and the answer is x=3

7y - 3x - 2y is equivalent to 5y - 3x.

You must combine like terms. Since 7y and - 2y have like terms, we could combine them by subtracting 2y from 7y, leaving you with 5y.

7y - 3x - 2y

= 7y - 2y - 3x

= 5y - 3x.

Please mark my answers as the Brainliest if you find my explanation helpful :)

Solve -8х + 4 < 36.
ОА. Х<_ 4
ОВ. x<_-4
ОC. х>_4
OD. х>_-4

Answers

Answer: D

Hope it helps

share out £20 between bill and sue in the ratio 3:2

Answers

Answer:

12:8

Step-by-step explanation:

Bill receives £12, and Sue receives £8.

In order to divide £20 between Bill and Sue in the ratio 3:2, we first need to find the total number of parts in the ratio. The sum of the parts in a 3:2 ratio is 3 + 2 = 5.

Next, we determine the value of one part by dividing the total amount (£20) by the total number of parts (5): £20 ÷ 5 = £4.

Now, we can allocate the money to Bill and Sue according to their shares in the ratio. For Bill, who gets 3 parts, we multiply his share of one part (£4) by 3: £4 × 3 = £12. For Sue, who gets 2 parts, we multiply her share of one part (£4) by 2: £4 × 2 = £8.

Thus, Bill receives £12, and Sue receives £8.

In mathematical terms, we can represent the division of £20 between Bill (B) and Sue (S) as follows:

Let the ratio be represented as B:S = 3:2.

Total parts in the ratio = 3 + 2 = 5.

Value of one part (Vp) = Total amount / Total parts = £20 ÷ 5 = £4.

Amount received by Bill (Ab) = 3 parts × Vp = 3 × £4 = £12.

Amount received by Sue (As) = 2 parts × Vp = 2 × £4 = £8.

Thus, Bill receives £12, and Sue receives £8.

In summary, when dividing £20 between Bill and Sue in the ratio 3:2, we follow the steps of finding the total parts in the ratio, calculating the value of one part, and then distributing the amount based on each individual's share in the ratio.

To know more about Ratio here

https://brainly.com/question/851332

#SPJ2

A shopper bought a 12 pound bag of oranges for $18.75 what was the unit price

Answers

Answer:

the unit price is $1.56

Step-by-step explanation:

18.75/12 = 1.56

Would really appreciate some help

Answers

Hi,

a) 6s² = 6 * 5² = 6 * 25 = 150

b) πr² = π * 2.5² = pi * 6.25 ≈ 19.6

Rounded to one decimal place. Notice that we don't use the equal symbol here but the approximation one.

c) a² + b ² = 3² + 4² = 9 + 16 = 25

d) πr²h = π*2.3²*5.2 = π * 27.508 ≈ 86.4

Rounded to one decimal place.

e) (4/3) π r^3 = (4/3) π *1.5^3 = π * 4.5 ≈ 14.1

Rounded to one decimal place

f) x² - 2x - 24 = (-6)² - 2(-6) - 24 = 36 + 12 - 24 = 48 - 24 = 24

for what values of a, b and c is f(x)=ax square + bx + c a constant, a linear or a quadratic equation?​

Answers

Answer: F(x)=ax²+bx+c

If a=b=0 then F(X)= constant

If a=0 & b≠0 then F(X) is a linear function

If a≠0 then F (X) is a quadratic function

Step-by-step explanation:

determine the x- and y-intercepts for the two lines below and then use them to graph each line.
a. x - 2y = 4
b. 3x + 6y = 24

Answers

Answer:

a. x - 2y = 4

Step-by-step explanation:

carry on learning

Determine whether the pair of lines is​ parallel, perpendicular, or neither.
x−4y=−9
y=3x−7
Choose the correct answer below.
A.
More information is needed.
B.
The two lines are perpendicular.
C.
The two lines are neither parallel nor perpendicular.
D.
The two lines are parallel.

Answers

Answer:

b. the two lines are perpendicular

Step-by-step explanation:

carry on learning

cuanto es 220 dividido 3

Answers

Answer:

73.33

Step-by-step explanation:

This circle is centered at the origin, and the length of its radius is 5. What is the equation of the circle?

Answers

Given :-

Circle's centre is at origin.The radius is 5 u .

To Find :-

The equation of the circle .

Answer :-

As we know that the general equation of circle centred at origin is ,

x² + y² = r²

where r is the radius .Here r =5 , So ,

x² + y² = 5² + = 25

What are the lower (Q1) and upper quartiles (Q3) for the following scores?

3,5,5,5,6,8,9,10,11,13,13,14,15,17,18,20

A. Q1 = 5 and Q3 = 15
B. Q1 = 5 and Q3 = 14.5
C. Q1 = 5.5 and Q3 = 15
D. Q1 = 5.5 and Q3 = 14.5

Answers

I think D is the best option

you go to Frontier City with your parents, brother and sister. The cost for adults is $12.50, and the cost for children is $8.00. Write an expression of the cost for the adults. Write an expression for the cost for the children. Now write an expression of the total cost for adults and children. Evaluate your expression using order of operations.

Answers

9514 1404 393

Answer:

  cost for adults: 2×$12.50

  cost for children: 3×$8.00

  total cost: 2×$12.50 +3×$8.00

  $49.00

Step-by-step explanation:

Assuming I, my brother, and my sister qualify for children's tickets, we have ...

  cost for adults: 2×$12.50

  cost for children: 3×$8.00

  total cost: 2×$12.50 +3×$8.00

Evaluation:

  $25.00 +24.00 = $49.00 . . . . . . . multiplication is performed first

what's 110/18 simplify ?
a : 5/3
b : 20/11
c : 7/3
d : 55/9

Answers

The answer has to be: D) 55/9

Answer:

55/9

Step-by-step explanation:

divide both sides by 2, results in 55/9.

You cant go past 2, so 55/9 (or d) is your answer)

:)

round these numbers to the numbers to the nearerst 1000

1781

Answers

Answer 2000

This is because the value in the hundreds place is greater than 4

Answer:

1780

Step-by-step explanation:

first number is the tens next is the hundreds then the thousands the number after eight is only one so you round down

How do you do this question?

Answers

Answer:

I don't really now if i'm correct but o think it is A

So we have x number of campers.

The amount of cookies to be equally distributed is 60 cookies.

Since 8 campers didn't want the cookies,

x² - 8x

Therefore the remaining campers got 2 more cookies. The word us more thus it's addition.

Then,

x² - 8x + 240 = 0

B is the correct option.

All the best!

Nora needs 2.25 cups of sugar to make 24 cupcakes. How much sugar does she need to make 608 cupcakes?

Answers

Answer:

57

Step-by-step explanation:

2.25 give 24

x give 608

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

608 ×2.25 ÷24= 57

1+X=4

So what does X Equal

Answers

Answer: X = 3

Explanation: -1 Both sides to isolate X
New Equation: X = 4 - 1
4-1 = 3 so Therefore X = 3

I hope this helps. If can please mark brainiest.

Nasser is following this recipe to make flapjacks.
Nasser uses 1.2 kg of margarine.
How many flapjacks is Nasser making?

Recipe: Makes 14 flapjacks
125 g sugar
150 g margarine
240 mL syrup
300 g oats
40 g sultanas

Answers

1.2kg = 1200g
1200 divide 75/7=112
He can make 1/2 flapjacks

(WILL GIVE BRAINLIEST) A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 96 meters long and 71 meters wide. What is the length of a training track running around the field? (Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

3.14*71+96+96=414.94 meter squared

What would be the steps to solving this problem?

[tex]\frac{1}{3}[/tex](6x+30)=6x-2(x-7)

Answers

Isolate the variable by dividing each side by factors that don’t contain the variable.

X = -2

Hope this helps!
Have a great day!

The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for x slices of pizza?

Answers

Answer:

13.75

Step-by-step explanation:

1.25x9=11.25

25-11.25=13.75

Pls answer and quick!! i'll give brainliest if right

Answers

Answer:

21.25

Step-by-step explanation:

If 2in is 5ft, then 1 inch is 2.5 ft

Then we can say that the height of the original house is:

8.5 * 2.5 = 21.25 inches

Hope this helps!

Can someone pls help ne

Answers

Answer:

Your answer is [tex]\sqrt{157}[/tex] or 12.5299640...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\6^{2} +11^{2} = C^{2} \\C^{2} = 36+121\\C^{2} = 157\\C = \sqrt{157}[/tex]

Hope this helps!

>> Asnwer

_________

[tex] \: [/tex]

c² = 6² + 11²

c² = 36 + 121

c² = 157

c = √157

c = 12.5

*PLEASE ANSWER!!! NEED HELP*
Rob needs to buy groceries. He has $200 in his checking account. He gets paid $550 tomorrow that will go into his checking account automatically. The total for groceries was $215. He can either use his debit card, or write a check. What form of payment should he use to avoid an overdraft charge?

A.) Debit Card because it comes out immediately.

B.) Write a check because it takes 2 days to clear and his pay check will be added in time for the money to come out.

C.) He should leave and be hungry for the day.

Answers

B

If he gets 550$ Tommorow he would have 750$ when the check gets used which would stop him from overdrafting

If Enguun tutored for 19.5 hours last month, how much money did she earn last month?

Answers

uhh
how much money does enguun earn for every hour she works?

Ill give godliest if you answer, and please show your work

Answers

Answer:

B

Step-by-step explanation:

because the image is like a parallelogram. Believes in me.

Answer:

Figure A has an area of 8 units.

Figure B has an area of 10 units.

Figure C has an area of 8 units. (I think)

Step-by-step explanation:

Uhh maths...

Hope this Helps!

Other Questions
5 yards 2 feet times 2 The polygonsare similar. Find x.i need #1 and 2 lol please What do you think voting is considering a benefit for the common good? point Q is at (2,4) what happens after a 270 degree rotation about the origin What does Better bread with water than cake with trouble mean? Is Sri Lanka a good place to visit?? Does anyone know about Sri Lanka? What is the climax of A Doll's House? If ABC - DEF, C = 5cm, b = 7cm, a = 8cm, and e = 14cm,determine the lengths of sides d and f. Can someone please help me come up with discussion questions about whether juveniles should/shouldnt be tried as adults!? Hernandez's parents werefarm workers,AformerBserverdairyDmigrant write the equation for the graph below plssss help me i cant do this stuff Can Defects A company that makes soda pop cans finds that theprobability of producing a can without a puncture is 0.96, the probability thata can does not have a smashed edge is 0.93, and the probability that a candoes not have a puncture and does not have a smashed edge is 0.893.(a) Are the events "selecting a can without a puncture" and "selecting a canwithout a smashed edge" mutually exclusive? Explain.(b) If a quality inspector randomly selects a can, find the probability that thecan does not have a puncture or does not have a smashed edge how did weathering destroy new hampshires old man in the mountain? what are the five functions of cell membrane what does it mean for statements to be logically equivalent? will give correct answer brainliest A pack of 16 markers cost $3.52. How much does each marker cost? The last customer left, so we closed the shop how do you factor this equation? 5x^2-36x-81