Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. A diagonal is drawn from point A to point C.

Which sequence could be used to prove that AD = BC?

First prove TriangleABC is congruent to TriangleCDA, and then state AD and BC are corresponding sides of the triangles.
First prove TriangleABC is similar to TriangleCDA, and then state AD and BC are opposite sides of the parallelograms.
First prove ParallelogramABCD is congruent to ParallelogramCDAB, and then state AD and BC are corresponding sides of two parallelograms.
First prove ParallelogramABCD is similar to ParallelogramCDAB, and then state AD and BC are opposite sides of the parallelograms.

Answers

Answer 1

Answer:

A

First prove Triangle ABC is congruent to Triangle CDA, and then state AD and BC are corresponding sides of the triangles.

Hope this helps!

Please Mark Brainleast!!!

Answer 2

The sequence to prove that AD = BC is; First prove ABC is similar to CDA, and then state AD and BC are opposite sides of the parallelograms.

How to prove Quadrilateral Theorems?

From the question, we see that the parallelogram ABCD has a diagonal AC. Thus; AB║ CD and AD║BC.

Now, the parallelogram is divided into two triangles ΔABC and ΔADC by its diagonal AC.

Thus;

∠ACB = ∠DAC  and ∠CAB = ∠ACD  because they are alternate interior angles.

Also, AC = AC  (Reflexive property)

Thus; by ASA congruence postulate, we can say that; ΔABC ≅  ΔADC

Also, by corresponding sides of the congruent triangles are congruent we can say that AD = BC.

Read more baout Quadrilateral proofs at; https://brainly.com/question/2698923


Related Questions

Which describes the combined variation in the formula h=v/ πr^2?

h varies directly with V and inversely with the square of r.

h varies directly with V and inversely with π and the square of r.

h varies jointly with V and π, and inversely with the square of r.

h varies jointly with V and r2.

Answers

Step-by-step explanation:

h varies directly with v and inversely with the square of r.

1/pi is the constant of variation.

Can someone please help me with this question.

Answers

Answer:

I think option B is the correct answer

I think it will help you.

Answer:

C

Step-by-step explanation:

Hope this helps

I need help understanding number 11 and 12 please

Answers

Answer:

4

Step-by-step explanation:

Find the least common multiple of those two denominators, which would be 2 and 4.

Then do LCM of 2 and 4 and that should be 4.

15x + 2y /= 38
x >/= 0; y>/= 0

Answers

not so sure about the answer

Which table models the graph shown below? HELP PLS

Answers

Answer:

A?

Step-by-step explanation:

I honestly am guessing here but i think its A take my answer with a grain of salt

which is a correct method for solving this equation for X

Answers

Answer:

B

Step-by-step explanation:

adding both sides will leave you at x/3=15

then diving by 3, the two 3s will cancel out and you will be left with x=15

Can someone please help me

Answers

Answer:

When it's negative when it goes to the other side it becomes a positive.....

Y=(x-4)(x-1)

Make y 0 when your calculating for x

Make x 0 when your calculating for y

0=(x-4)(x-1)

Therefore x=4 or x=1

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Answers

Answer:

120 min

Step-by-step explanation:

step 1. divide 100% by 2.5 (=40)

step 2. 40 time 3 minutes = 120!

so by the time it gets to 120 minutes it 100% and guaranteed

Answer:

120 mn

Step-by-step explanation:

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?

Answers

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

If radius =5 units and x = 12 units what is the volume of the cylinder

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

It's given that,

radius (r) = 5 units

height (x) = 12 units

Now, according to formula ~

[tex]\qquad \sf  \dashrightarrow \: v = \pi {r}^{2}x[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{22}{7} \times {5}^{2} \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{22}{7} \times 25 \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = \frac{6600}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v \approx 942.86 \: \: unit {}^{3} [/tex]

Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts each friend gets.

Which equations should he use? Select all that apply.

A.
72
÷
8
=
m
B.
120
+
48
=
p
C.
168
÷
8
=
n
D.
120
÷
8
=
l
E.
120

48
=
p

Answers

Answer:

A and E  MARK BRAINLIEST!

Step-by-step explanation:

Well lets look into this question carefully ,

You should first subtract 120- 48= 72

Then 72/ 8 = 9 so we can check all that apply equations we used

A and E

the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.

Answers

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

How to calculate the volume of a pyramid.

Mathematically, the volume of a pyramid is given by the formula:

[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]

For the base area:

The area of a right triangle is given by:

[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

75 POINTS IF U GET THIS RIGHT !!!!!Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40\%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10\%$ of what it was on June 1, 2004?

Answers

Answer:

In 2009

Step-by-step explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 * .6)

2006 = 36 % (60 * .6)

2007 = 21.6 % (36 * .6)

2008 = 12.96 % (21.6 * .6)

2009 = 7.776% (12.96 * .6)

This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.

I hope this helps! :D

Answer:

2009

Step-by-step explanation:

On June 1, 2004 we can say that there were 100% of the wrens.

If the number decreases by 40% each year, then each year there will be 60% of the previous years number.  To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)

June 1, 2004 = 100%

June 1, 2005 = 100% x 0.6 = 60%

June 1, 2006 = 60% x 0.6 = 36%

June 1, 2007 = 36% x 0.6 = 21.6%

June 1, 2008 = 21.6% x 0.6 = 12.96%

June 1, 2009 = 12.96% x 0.6 = 7.776%

Therefore, the census shows that the number of wrens is less than 10% in the year 2009.

An orchard has 700 pear trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?

Answers

Answer:

25

Step-by-step explanation:

Number of rows: x

Number of trees per row: y

So x rows multiplied by y trees per row = 700

x × y = 700

xy = 700

This is our first equation

x rows = y trees per row plus three (or x rows minus three = y trees)

x = y + 3

So if x = y + 3,

In xy = 700, we can substitute the x because we have it's value

(y + 3)y = 700

y² + 3y = 700

Divide 3 by 2 then square the answer = 2.25

y² + 3y + 2.25 = 700 + 2.25

Simplify

(y + 1.5)² = 702.25

Get the square root of both sides

(y + 1.5) = ±26.5

y = 26.5 - 1.5 or -26.5 - 1.5

So y is either 25 or -28 (A negative number of trees doesn't make sense so we'll stick with 25

Use interval notation to express the following: The set of all numbers less than or equal to −5.

Answers

Answer:

(- infinitysymbol,-5]

see image.

Step-by-step explanation:

Interval notation uses parenthesis or square brackets in the format:

( or [ begin , end )or]

Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"

see image.

Solve the simultaneous equations
.
3x + y = 10
y = 2 - x
X =
y =

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

3x + (2 - x) = 10

3x + 2 - x = 10

2x + 2 = 10

2x = 10 - 2

2x = 8

x = 8/2

x = 4

y = 2 - x

y = 2 - 4

y = -2

I'd like for someone to help me on this Thank you <3​

Answers

Answer: Range: 24, interquartile range: 8

Step-by-step explanation:

xzavier makes a conjecture that the sun of two odd integers is always an even integer which choice is the best proof of his conjecture

PLEASE I NEED THIS NOWWWWWWW

Answers

Answer:

2n+1

Step-by-step explanation:

i dont know  but i tried to do it in paper and got this

please help will mark BRAINLIEST ​

Answers

Answer:

d = 3h - 6

Step-by-step explanation:

Given formula:

[tex]h=\dfrac{d}{3}+2[/tex]

Subtract 2 from both sides:

[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]

[tex]\implies h-2=\dfrac{d}{3}[/tex]

Multiply both sides by 3:

[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]

[tex]\implies 3(h-2)=d[/tex]

Apply the distributive law  [tex]a(b-c)=ab-ac[/tex]

[tex]\implies 3h-6=d[/tex]

[tex]\implies d=3h-6[/tex]

Answer:

[tex]d=3h-6[/tex]

Step-by-step explanation:

[tex]h=\frac{d}{3}+2[/tex]

[tex]h-2=\frac{d}{3}+2[/tex]

                 -[tex]2[/tex]

[tex]h-2=\frac{d}{3}[/tex]

[tex](h-2)*3=\frac{d}{3}*3[/tex]

[tex]3(h-2)=d[/tex]

[tex]3h-6=d[/tex]

[tex]d=3h-6[/tex]

-{ModPatrol}

Need help with this geometry question.What is HK?

Answers

Answer:

Step-by-step explanation:

use a protractor if you have one or ask for one

pls do this thankuso much​

Answers

Ans: D

differentiate sinx=cosx and differentiate x=1

:)

The points plotted below are on the graph of a polynomial. In what range of x- a values must the polynomial have a root? Check all that apply. A. -2 to -1 B. -1 to 0 C. -3 to-2 D. 1 to 2 E. -4 to -3 F. O to 1​

Answers

a b f e are the answer because you multiply then divide

simplificar la radicacion 18

Answers

Answer:

441

Step-by-step explanation:


talyn is riding her bike down the street at
a speed of 15 m/s. If it takes talyn seconds to
get to the end of the streets then how far was the street?

Answers

Step-by-step explanation:

1 kilometer

thank you very much

Find the values of x for which the denominator is equal to zero for 3x+5/x-6 .

x = 6

none

x = −5

x = −6

Answers

Answer:

x=6

Step-by-step explanation:

please mark me as brainlest

PLSS PA ANSWER PO DONT DELETE PO​

Answers

Answer:

The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.

Step-by-step explanation:

1. B or 15cm

2. C or 24cm

3. C or 16cm

4. C or 56cm

5. A or 50cm


Just add the sides together for perimeter :)

super easy algebra 4 x (15- ?) =48

Answers

first you would divide 48 by 4 which equals 12.
after this you are left with 15-?=12.
?=3
First 48/4=12. Then 12-15=-3. Then your left with -?=-3 Divid -3 by -1 which equals 3 so ?=3

This figure represents a flower box.

How much soil will it take to fill the flower box?

Enter your answer in the box.

in³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.

Answers

Answer:

The Answer Is 2200in^3

Step-by-step explanation:

I Took The Test And Got It Right

Is it possible for someone to help me with this?

Answers

Answer:

Step-by-step explanation:

you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. write your answer as a fraction or percent. if necessary round your answer to the nearest hundredth.
(Spinning an odd number, flipping head, then spinning yellow)

Answers

Answer:

1/9

Step-by-step explanation:

Probability is defined as the number of cases fitting a constraint divided by the number of total cases.

We will calculate the number of total cases first (bc its easier xD):

3 numbers for the first spin times 2 cases for the flip times 3 numbers for the first spin = 18 total cases.

Now, we will calculate the number of cases fitting the constraint:
For the first constraint, there are two possible ways of spinning an odd number, landing on 1 or 3.
For the second constraint there is only 1 way, which is spinning a head.
For the 3rd constraint, there is only 1 way to spin yellow.

2 * 1 * 1 = 2

Number of cases over total cases:

2/18 = 1/9

Step-by-step explanation:

we seek the probability of a combination of independent events.

since they are independent, we can simply multiply the 3 individual probabilities.

1. spin an odd number (in our case that means 1 or 3) out of the possible 3. that probabilty is therefore 2/3.

2. flipping head with a coin. so, 1 out of possible 2. that probabilty is therefore 1/2

3. spin yellow. that is 1 out of possible 3. that probabilty is therefore 1/3.

again, none of the single events is influencing the outcome of any of the other 2 events, so, the total probabilty of the combination is the product of the single probabilities :

2/3 × 1/2 × 1/3 = 2/18 = 1/9

FYI : the first single probabilty is actually the result of an "or" relationship of 2 possible results of one event :

the probabilty to get an odd number is the same as the probabilty to get 1 or to get 3. both are non-overlapping possible outcomes of one event, so we can add the individual probabilities for the result.

each possible outcome has the probabilty of 1/3, so the "or" relation has a probabilty of 1/3 + 1/3 = 2/3.

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