Given: AB = CD and BC = AD.
Prove: AB l| CD and BC || AD.

I need the reasons and the statements!!

Given: AB = CD And BC = AD.Prove: AB L| CD And BC || AD.I Need The Reasons And The Statements!!

Answers

Answer 1

Step-by-step explanation:

AC = AC by reflexive

∆ABC = ∆CDA by SSS

Angle CAD = angle ACB by CPCTC

Since alt interior angles are congruent, BC //AD

Repeat the same process to show AB//CD


Related Questions

Find the remainder when the polynomial 6x2 + 8x - 2 is divided by x - 2.

Answers

Answer:

38

Step-by-step explanation:

x-2 = 0 → x = 2 put this value in polynomial

6(2)² + 8(2) - 2 = 24 + 16 - 2 = 38

there is another way too. but it's longer. you can see it in picture.

Answer:

Did the quiz :)

Step-by-step explanation:

Please help i don’t understand this :( 3. Triangle BCD has been dilated by a scale factor of 4. What are the new coordinates of Triangle BCD?

Answers

original coordinates are B(3,-3), C(3,3), D(-3,-3)
SF (scale factor is 4)
3*4=12
B'(12,-12), C(12,12), D(-12,-12)

It takes 12 hours to clean the windows of a certain office building. During the
first day of cleaning, the workers were able to clean for 9 hours. If the variable
t stands for the amount of time the workers have left to clean the windows,
which of the following choices is the most reasonable value for ?
O A. 20 hours
O B. 3 hours
O C. 1 hour
O D. 30 hours

Answers

Answer:

B: 3 hours

Step-by-step explanation:

Since we know that it takes 12 hours to clean the windows and the cleaners were only able to clan for 9 hours, we just subtract 9 from 12 which gives us the answer:3Hours.

Answer:

B.3hours

Step-by-step explanation:

12-9=3

so the letter T is=3

Gina and Derek saw some trees on their walk through the park. They made a diagram showing the distance between trees.

A line diagram shows 5 points. The points are labeled start, maple tree, oak tree, pine tree, and end. The distance from the start to the maple tree is 5 yards. The distance from the maple tree to the end is 28 and two-sixths yards. The distance from the oak tree to the pine tree is 11 and three-sixths yards. The distance from the pine tree to the end is 7 and five-sixths yards.



What is the distance between the maple tree and the oak tree?

A.
3
4
6
yards

B.
9
yards

C.

19
2
6
yards

D.
23
2
6
yards

Answers

The difference between the maple and oak trees is the difference

between  [tex]28\frac{2}{6}[/tex]  and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.

Response:

The distance between the maple tree and the oak tree is option B.

B. 9 yards

Which methods can be used to determine the distances on the line diagram?

The given parameters are;

Start → Maple tree → Oak tree → Pine tree → End

The distance from the start to the maple tree = 5 yards

The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards

Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards

Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards

Required:

The distance between the maple tree and the oak tree

Solution;

From the maple to the end, d is given as follows;

d = Maple tree to the end - Distance from the oak tree to the end

Oak to the end = Oak to pine + Pine to end

Therefore;

[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]

Which gives;

[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]

The distance from the maple to the oak tree = 9 yards

The correct option is; B. 9 yards

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Work out
(6.7 x 10^2) + (9 x 10^3)
Х
Give your answer in standard form

Answers

Answer:

9.76 x 10^3

Step by step:

1. (6.7 * 10 ^ 2) + (9 * 10 ^ 3)>> (6.7 * 100) + (9 * 10 ^ 3)
2. (6.7 * 100) + (9 * 10 ^ 3)>> (670) + (9 * 10 ^ 3)
3. 670 + (9 * 10 ^ 3)>> 670 + (9 * 1000)
4. 670 + (9 * 1000)>> 670 + (9000)
5. 670 +9000>> 9760
6. 9760>> 9.76 × 10^3

A line passes through the points (-5,-6) (-4,-4) write An equation for the line in point slope form

Answers

Answer: y+4=2(x+4)

Step-by-step explanation:

Nick found the quotient of 8.64 and 1.25 × 105. his work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 ) 3. 6.912 × 10–4 analyze nick’s solution. is he correct? if not, what was his mistake? yes, nick is correct. no, the power multiplied to 8.64 should have an exponent of 0. no, he needed to subtract the coefficients. no, he needed to add the exponents.

Answers

The answer will be the power multiplied to 8.64 should have an exponent of 0.

What is the mistake done by Nick?

The given expressions are

[tex]=\dfrac{8.64\times 10^1}{1.25\times 10^5}[/tex]

[tex]=(\dfrac{8.64}{1.25}) (\dfrac{10^1}{10^5} )[/tex]

[tex]=6.912\times10^{-4}[/tex]

The power of the number multiplied to 8.64 is 1 which will make it 86.4

So this power of the number should be 0

Thus the answer will be the power multiplied to 8.64 should have an exponent of 0.

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Answer:

B

Step-by-step explanation:

No, the power multiplied to 8.64 should have an exponent of 0.

A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.What is the volume of the rectangular prism

Answers

Answer:

416mm^3

Step-by-step explanation:

volume = length x width x height

= 10.4 x 5 x 8

=416

how do you multiply and divide with scientific notation

Answers

Answer: To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

Step-by-step explanation:

HII SOMEONE HELPPP PLEASE ​‼️‼️‼️

Answers

Answer:

Step-by-step explanation:

Fame age be x and sister's age = y

Five years ago:

Fame's age = x - 5

His sister's age = y -5

[tex]x -5 =\dfrac{1}{6}*(y-5)\\\\[/tex]

Multiply the entire equation by 6

[tex]6*(x-5)=6*\dfrac{1}{6}(y-5)\\[/tex]

6x- 6*5  = y-5

6x - 30 = y - 5

6x  -30 + 5 = y

y = 6x - 25--------------(I)

Three year after:

Fame's age = x + 3

His sister's age = y + 3

2*(x +3) = y + 3

2x + 6   = y + 3

2x + 6 -3 = y

y = 2x + 3 -------------(II)

Substitute y = 6x - 25 in equation (II)

6x - 25 = 2x + 3

Add 25 to both sides

6x  = 2x + 3 + 25

6x  = 2x + 28

Subtract 2x from both sides

6x - 2x = 28

       4x = 28

Divide both sides by 4

x = 28/4

x = 7

Substitute x = 7 in equation (I)

y =6x - 25

y = 6*7 - 25

  = 42 - 25

y = 17

Fame's age = 7 years

His sister's age = 17 years

4) Let the distance between X and Y be D

Time take by Wie = distance÷ speed

                             [tex]= \dfrac{D}{75}[/tex]

Time taken by Wary = distance ÷ speed

                                  [tex]=\dfrac{D}{80}[/tex]

Time difference = 10 minutes.

As Wary drives in high speed that Wie, he takes less time

[tex]\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\[/tex]

LcM = 1200

[tex]\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\[/tex]

D = 200 Km

Part A
Directions. Answer each of the following questions.
1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the
window. This is because the train is our
2. Scientists use the
system for making measurements.
3. Physical science studies the relationships between
and
4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?
5. For most activities, the
makes a handy frame of reference.

Answers

Answer:

1.speed im not a robot tho

Step-by-step explanation:

Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people.
a) Someone in your class can speak Hindi.
b) Everyone in your class is friendly.
c) There is a person in your class who was not born in California.
d) A student in your class has been in a movie.
e) No student in your class has taken a course in logic programming.

Answers

Answer:

a) Someone in your class can speak Hindi.

Step-by-step explanation:

The statements into logical expressions using predicates, quantifiers, and logical connective is shown below.

What are Quantifier and Predicate?

The property (or properties) that a variable or subject might have are described by a predicate or propositional function. By giving the variable a value or by quantification, a proposition can be made from a propositional function.

a) Someone in your class can speak Hindi.

∃x (H(x))

and, ∃x (S(x) ^ H(x))

b) Everyone in your class is friendly.

∀ x (F(x))

and, ∀ x (S(x) --> F(x))

c) There is a person in your class who was not born in California.

∃x (~C(x))

and, ∃x (S(x) ^(~C(x))

d) A student in your class has been in a movie.

∃x (M(x))

and, ∃x (S(x) ^ M(x))

e) No student in your class has taken a course in logic programming.

∀ x (~L(x))

and, ∀ x (S(x) --> ~L(x))

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brainliest to the right answer

Answers

Step-by-step explanation:

again, in a geometric sequence every term is created by mutilated the previous term by a constant factor.

-192 × f = 48

f = 48/-192 = -1/4

here it seems to be clear now that your teacher starts counting at a1 (and not a0).

a1 = -192

a2 = a1 × -1/4 = -192 × -1/4 = 48

a3 = a2 × -1/4 = a1 × -1/4 × -1/4 = -192 × 1/16 = -12

an = -192 × (-1/4)^(n-1)

a6 = -192 × (-1/4)⁵ = -192 × -1/1024 = 3/16

The premiter of a rectangular rug is 40 feet. Its length is 12 feet. What is the width

Answers

P= 2L + 2W

40= 2(12) + 2W

40= 24 + 2W

16 = 2W

W= 8

Please help me please please please please

Answers

Answer:

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

lets do (1.5, 3.6) and (2.5, 6)

(6 - 3.6) / (1.5 - 2.5)

put answer in comment and i will mark

please put brainest

WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!

Solve for x to the nearest tenth.

Answers

Answer:

5.8

Step-by-step explanation:

Pythagorean Theorem:

You have the side 6 and 3. To find x you must make the right triangle.

6-1=5. So the longer side of the tri is 5. Now we will solve:

3^2+5^2=9+25=34. Now we have to square root 34.

[tex]\sqrt{34}[/tex] is approximately = 5.8

What is the value of X

Answers

Answer:

x = 7

Step-by-step explanation:

=> 9/72 = 3x-20/56

=> 9×45/72 = 3x-20

=> 27/3 = x

=> x = 7

25x^2-40x+16

please help me ahhh i need this im failing algebra bc im missing assignments

Answers

12-14 is equally to 2 and here is the answer

A deli sells sandwich spread 6.40 per pound. How much do you pay for 24 ounces

Answers

Answer:

$9.60

Explanation: Take the 24 ounces and divide that by 16 to get 1.5 pounds. Then multiply 6.40 by 1.5 and you get the answer of $9.60

Amy invested $1500 in an account with an interest rate of 6.5%
What will the account balance be in 20 years if the interest is compounded monthly?

Answers

Step-by-step explanation:

p=1500

R=10%

t=20yrs

SI=PTR/100

=1500*10*20/100

=3000

amount(A)=P+I

=1500+3000

=4500

The length and width of a box are 4 in. The volume is 48 in. ^3
What is the height of the box?

Answers

Answer:

WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in

Step-by-step explanation:

VOLUME = (W+3)*(W-2)*W = 52

W*(W^2 +W - 6) = 525

SOLUTION BY TRIAL & ERROR

TRIAL 1 : LET W = 5; 5(25+5–6) = 120

TRIAL 2 : LET W=10; 10(100+10–6) = 1040

TRIAL 3 : LET W = 8; 8(64+8–6) = 528 OK

ANSWER WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in

Help po please "•v•
Salamat :) ​

Answers

Answer:

06:56 AM =06:56 H

10:44 AM =10:44 H

10:32 AM =10:32 H

01:09 PM =13:09 H

07:00 AM =07:00 H

In ΔABC, m∠A = 119° and m∠B = 49°. Which statement about the sides of ΔABC must be true?

Answers

Answer:

It is not true

Step-by-Step:

^ABC, m<A = 119 degrees.

In triangle ABC, side BC is longer and side AB shortest side.

Given that, in ΔABC, m∠A = 119° and m∠B = 49°.

What is the triangle inequality theorem?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Using angle sum property, we get

m∠A+m∠B+m∠C=180°

⇒ 119°+49°+m∠C=180°

⇒ m∠C=180°-168°

⇒ m∠C=12°

So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.

Therefore, in triangle ABC, side BC is longer and side AB shortest side.

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trigonometry *find the value of x*

Answers

[tex] \cos(x) = \frac{b}{h} = \frac{3.8}{6.2} \\ \cos(x) = 0.612 \\ x = \cos^ {- 1} (0.612) = 51 \degree[/tex]

Answer:

x= 61 degrees

Step-by-step explanation:

1. To use trigonometry, you need to take into consideration SOH CAH and TOA. SOH is for sine, CAH is for cosine, and TOA is for tangent.

2. Figure out which one of these you can use. In this case, that would be CAH, which means you use cosine.

3. CAH means the cosine of x equals the adjacent over the hypotenuse. Adjacent is the value that is next to the angle. The hypotenuse is the value of the slant.

4. With that in mind, all you do is plug it into a calculator like so: 3.8/6.2

5. Lastly, you take that answer, move the decimal point up two places, and that's your answer.

how many terms of the A.p 18,16,14 ... be taken so that their sum is zero?​

Answers

Answer:

19 terms

Step-by-step explanation:

the sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n

[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )

n(36 - 2n + 2) = 0

n(38 - 2n) = 0 ← distribute parenthesis on left side by n

38n - 2n² = 0 ← factor out 2n from each term on the left

2n(19 - n) = 0

equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

19 - n = 0 ⇒ n = 19

n > 0 , then number of terms is 19

Find (f -9)(x) where f(x) = -x2, g(x) = -(x + 4)2​

Answers

Answer:

2x^2 +11

Step-by-step explanation:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

            = 3x^2 +2 - x^2 +9

Combine like terms

            = 2x^2 +11

HELP QUIKCLY PLEASE DKNT SOAMM IM BEGGING


Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.

Grocery store: 9 ounces for $3.75

Bulk order: 5 pounds for $15.25

If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)


A. $0.11/ounce


B.$0.14/ounce


C. $0.19/ounce


D.$0.23/ounce

Answers

Answer:

C. $0.19/ounce

Step-by-step explanation:

We know that 16 ounces = 1 pound but we have 5 pounds,

So, we do 5 times 16.

We get 80 (ounces)  and we divided ounces by total cost ($15.25)

We get our answer:

$0.19/ounce

What is the ratio of rise to run between the points (-10, 9) and (6, 5)? A. B. 4 C. D. -4

Answers

The ratio of rise to run, which is the slope between the two points is: -1/4.

What is the Slope between Two Points?

Slope = ratio of rise to run = change in y/change in x

Given the following points:

(-10, 9) and (6, 5)

Rise = (5 - 9) = -4

Run = (6 -(-10)) = 16

Ratio of rise to run = slope = -4/16 = -1/4.

Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.

Learn more about slope on:

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Answer:

-1/4.

Step-by-step explanation:

Took the quiz and it was correct. Hope this helps.

HELPPPP
does anyone know how to do this

Answers

Answer:

1 13 2 16 3 17 4 21

Step-by-step explanation:

i hope this helps

HONESTLY help me I don’t understand math

Answers

Answer:

15. 2m

17. 1.5m

Step-by-step explanation:

just square root it

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