In quadrilateral BADC, AB=AD and BC=DC. The line AC is a line of symmetry for this quadrilateral.

Quadrilateral B A D C.

a. Based on the line of symmetry, explain why the diagonals AC and BD are perpendicular.

Answers

Answer 1

9514 1404 393

Answer:

  a line of symmetry is always the perpendicular bisector of a point and its symmetrical image

Step-by-step explanation:

A line of symmetry is a perpendicular bisector of any segment joining a point and its symmetrical image. B and D are symmetrically located about line AC, so AC must be a perpendicular bisector of BD.


Related Questions

if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left ​

Answers

Answer:

3 and one third

Step-by-step explanation:

(3 1/3)

-1/2(-2x+4y) someone expand this pls

Answers

Answer:

-1/2(-2x+4y)=

x-2y


Which unit of length would be most appropriate to describe the length of your
foot?

Answers

Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

Write 3.6 x 10^-3 in standard form.

Answers

Answer: 33

Step-by-step explanation: hope this helps

2. measure of an angle that is supplementary to

Answers

answer: 99°

explanation: first, we need to find angle T. we know that angle T and angle R are vertical angles, which means they’re the same. therefore, we solve the equation for x by doing angle T = angle R:
3x + 36 = 6x - 9
subtract 36 on both sides
3x = 6x - 45
subtract 6 on both sides
-3x = -45
divide both sides by -3
x= 15
then, plug in the value of x in 3x+36 to get angle T:
3(15) + 36= 81°
we found that angle T is 81°.
now, we need to find the supplementary angle of angle T. supplementary angles add up together to have a sum of 180°. to find the supplementary angle, subtract angle T from 180°:
180 - 81 = 99°
there we have the answer!

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

less than 90°.
greater than 90°.
congruent to angle B.
congruent to angle C.

Answers

The correct answer is less than 90°

find the value of x in the proportion 4/7 = x 56 pls help!!

Answers

Answer:

98

Step-by-step explanation:

4=x56×7

4=x392

392/4=X

98

3. Reason Can you write
3+ 4+ 7 = 14 as a multiplication
sentence? Explain.

Answers

Answer:

3 + 4 + 7 = 14

7 + 7 = 14

2(7) = 14

Step-by-step explanation:

Do we use the same numbers? If not just find out what equals 14 when you’re multiplying for example 7x2=14 or 14x1=14

angle 1 and angle 4 are blank angles​

Answers

Answer:

C.  vertical angles

Step-by-step explanation:

The correct answer is C. vertical angles.

Please help i will give brainliest

Answers

I hope this helps I tried my best

Which inequality is graphed below?​

Answers

X is less than or equal to -4

Answer:

the first one

x is greater than or equal to - 4

Step-by-step explanation:

market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions

Answers

Answer:

0.8461

Step-by-step explanation:

The question didn't state any value, so I assumed some of my own.

You can check your notes, and change the values to that of your own, it's the same method.

Given that

The market research firm conducts survey with 40% historical response rate.

The total number of sample is used is 400

The total number of individuals expected to cooperate is 150

What is the probability that the sample proportion would be 150/400 or 0.375..

See attachment for calculation.

John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar.

Answers

Answer:

380 dollars

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = \frac{437}{1.15}

1.15

437

x = 380

-9x + 1 = - 80 Find the value of x

Answers

Answer:

Step-by-step explanation:

80+1=9x

81=9x

x=9

Step by step explanation:

Step 1:

→[tex]-9x + 1 = - 80[/tex]

Step 2:

→[tex] - 9x = - 80 - 1[/tex]

Step 3:

→[tex] - 9x = - 81[/tex]

Step 4:

→[tex]x = \dfrac{ - 81}{ - 9} [/tex]

Step 5:

→[tex]x = 9✓[/tex]

Select all the angles that are
congruent to 6.
A 1 C 3 E 7
B 2 D 4 F 8

Answers

Send a image of the problem then I can help a

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 480 miles apart after 3 hours, what is the rate of the eastbound train?

Answers

Answer: 73 mi/hr

Explanation:

Distance to east+Distance to west = 480

But distance = V x t

Let x be the velocity
And t = 3hr

=> 3(x - 14) + 3x = 480
=> 3x - 42 + 3x = 480
=> 6x - 42 = 480
=> 6x = 522
=> x = 522/6
=> x = 87

But eastbound train travel 14 mi less than westbound.

x - 14

But x = 87

=> 87 - 14 = 73

Thus, 73 is the rate of the eastbound train

73 is the rate of the eastbound train while The speed of the westbound train is 59 miles per hour.

What is Speed?

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train.

Eastbound train:

time = 3 hrs, rate = x mph, distance = 3x miles

Westbound train:

time = 3 hrs ; rate = x-14 ; distance = 3x-42 miles

3x + 3x - 42 = 480

6x = 438

x = 73 (rate of the eastbound train)

To find the rate of the westbound train:

rate = x -14

rate = 73 - 14

rate of westbound train = 59

Therefore, The speed of the westbound train is 59 miles per hour.

Learn more about speed here:

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Please help this is due today!! Question: What is the relationship between the 6s in 660,472?​

Answers

Answer:

The first 6 is in the hundred thousands place.

The second 6 is in the ten thousands place.

Here are the info for the rest of the numbers:

6 = hundred thousands

6 = ten thousands

0 = thousands

,

4 = hundreds

7 = tens

2 = ones

Hope this helps you!

Best of luck!

Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32
sandbox is 3 3/8feet, what is the width of the sandbox?

Answers

Answer:

The answer is 5 1/4 feet

HELP PLEASE Which equation shows a proportional relationship between x and y?

y = 4x
y=−3x−2
y = 3x + 1
y = 9

Answers

Answer:

y = 3x + 1 I think........

Evaluate:

54 - 75 + 81 - (-27) + 53

Answers

54-75+81-(-27)+53
Turn the two negatives positive

54-74+81+27+53
Add 81 and 27
Add 108 and 53
Add 54 and 80
Subtract 75 from 134
= 59

PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

R1:   Given

R2:   Subtraction Property of Equality

R3:   Distribute Property

R4:   Addition Property of Equality

R5:   Division Property of Equality

Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4

Prove: m∠3 + m∠1 + m∠2 = 180°

Given: ∠1 + ∠2 = ∠ 4

∠4 + ∠3 must be 180° because they are supplementary

If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.

Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.

Plz mark brainliest:)

Evaluate using the order of operations. Enter the answer in simplest form.
3/5+1/7÷3

Answers

Answer:

0.64761904761

Step-by-step explanation:

3/5+1/7 x 1/3 = 3/5+1/21
Your answer is 68/105

A couple realizes a real estate financing of R $ 180,000.00, to be paid in 360 monthly installments, with an effective interest rate of 1% per month. The first installment is paid one month after the funds are released and the monthly installment is R $ 500.00 plus 1% interest on the outstanding balance (amount due before payment). Note that, with each payment, the outstanding balance is reduced by R $ 500.00 and consider that there is no arrears. By making the payment in this way, the amount, in reais, to be paid to the bank in the tenth installment is

a) 2,075.00.
b) 2,093.00.
c) 2,138.00.
d) 2 255.00.
e) 2 300.00.

Answers

Answer:

ANSWER: letter D

Step-by-step explanation:

In the tenth installment, the debit balance is, in reais, of

180000 - 9. 500 = 175500

The 1% interest on this amount results in:

1% . 175 500 = 1755

Thus, the tenth installment is, in reais, 500 + 1755 = 2255

NEED HELP QUICK!

3) Line A is represented by the equation y=1/4x + 5. Write in slope-intercept form the equation
of a line that is parallel to Line A and passes through the point (8, -2)

A) What is the slope of (m) of the parallel line?
B) What is the point on the parallel line?
C) Write the equation in Point-slope form.
D) Solve the above point-slope form equation for slope-intercept form (y=mx+b). Show your work.

Answers

Alright so..

A. M=-4

B. (8, 2)

C. Y-2=-4(x-8)

and i don't know about the last one

You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?

Answers

Answer: 16

Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16

The number of mattresses available now is 16.

Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.

What is an equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Let number of mattresses do you now have available be x.

Given that, receive a new order Friday morning of 15 mattresses.

So, x=15-(7+2+0+5)+15

=30-14=16

Therefore, the number of mattresses available now is 16.

To learn more about an equation visit:

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What do the factors in the factored form represent?

Answers

Answer:

The factored form tells you the times at which the object's height is zero (the roots). ... Write the equation for this parabola in vertex form, factored form, and general form. From the graph you can see that the x-intercepts are 3 and 5. So the factored form contains the binomial expressions (x 3) and (x 5).

Step-by-step explanation:

could u  answer my newest question? ive been stuck on it for hours

Which function defines the sequence 6,8,10,....?
(5 Points)
f(n)=2n+4
f(n)=3n+2
f(n)=6n

Answers

Answer:

f(n)=2n+4

Is the answer

The mean (average) of 4 numbers is 88.
What is the fourth number if three of the numbers are 80, 95, and 85
A 32
B. 54
с. 75
D. 99
E none of these

Answers

Answer:

E non of the above

Step-by-step explanation:

To get the original number you multiply 88 by 4

Then you add 80, 85 and 95 and then minus it from the original number

You should end up with 352 minus 260

Therefore the answer would be 92 and not a given answer so your answer is e: none of the above

Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

Answers

Answer:

Robin can clean 9828 rooms in 9 days

Step-by-step explanation:

Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666

number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day

We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9

1092 rooms/day * 9 days = 9829 rooms

What is one third of 1296?

Answers

Answer:

four hundred thirty-two

Step-by-step explanation:

one third of 1296 is same as = ⅓ of 1296

⅓ of 1296 is same as = ⅓ × 1296

= ⅓ × 1296

= 1 × 1296 / 3

= 1296/3

Let us try to simplify this fraction . Both the numerator and the denominator is divisible by 3 .

Then ,

= 1296 ÷ 3 / 3 ÷ 3

= 432/1

= 432

Therefore , one third of 1296 is 432

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