Geometry: Complete these proof, ASAP!!!

Answers

Answer 1

The angles ∠1 ≅ ∠4 since the line BD bisects ∠ABC, AD║ BC, and AB ║ CD. This is obtained by using the angle bisector theorem, alternate interior angles, and the transitive property of congruence.

What is the transitive property of congruence?

Transitive property:

If ∠a and ∠b are congruent and ∠b and ∠c are congruent, then ∠a and ∠c are also congruent.

I.e., If ∠a ≅ ∠b and ∠b ≅ ∠c, then ∠a ≅ ∠c.

What does the angle bisector theorem state?

The angles bisector theorem states that the ray or line which bisects the angle divides the angle into two equal parts.

I.e., If line BD bisects the angle ∠ABC, then ∠B = ∠B1 + ∠B2

(where ∠B1 = ∠B2)

Given:

The line BD bisects ∠ABC, AD║BC, and AB║CD

Proof:

The line BD bisects ∠ABC. So,

∠B = ∠3 + ∠4

According to the angle bisector theorem, ∠3 ≅ ∠4.

Since AD║BC and AB║CD, the alternate angle are congruent.

I.e., ∠3 ≅ ∠1

Thus, by the transitive property of congruence,

∠1 ≅ ∠4

Hence proved.

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Related Questions

Find the mean of 8, 6, 2, 4 graphically.

Answers

Answer:

Step-by-step explanation:

Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?

Answers

Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.

Step-by-step explanation:

since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.

A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.

Answers

X=45*14 is the answer

Pensé dos números. Sumados dan 38 y restados dan 2. ¿Qué números son?

Answers

Answer:

sorry I cannot help you sir can you translate it into English

Plz help me !!!!!!!!!!

Answers

C i think????????????????????? :D

C is the answer ! :)

Can somone help please? Thx

Answers

Answer:

I would say the answer is 0.69

Step-by-step explanation:Because if you multiply 7 times 0.69 it gives you 4.83

Answer:

The answer is 1.45

Step-by-step explanation:

Divide 7 and 4.83 and the answer is 1.447.

Which expression has a value of 15 when n= 7?
43-5
O 31-5
O on-28
28
019-
n

Answers

Answer:

19- 28 over N

Step-by-step explanation:

-4x < 28
does anyone know the solution and answer?

Answers

Answer:

x>−7

Explanation:

Let's solve your inequality step-by-step.

−4x<28

Step 1: Divide both sides by -4.

−4x/−4 < 28/−4

x>−7

Answer: x>−7

4w − 18 = 18 solve for w

Answers

Answer:

hello! :) have a good day!

W = 9

Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4

Answers

Answer:

Step-by-step explanation:

Answer:

X=-4

Step-by-step explanation:

First, we must solve for the parenthesis so...

-2x-8=4x+16

Then we must simplify this even more so lets add the 8 to 16

-2x=4x+24

Then we must subtract 4x from -2x

-6x=24

we must now divide 24 by -6 so we can isolate the x

x=-4

I hope this helped :)

help me with this question for my homework pls

Answers

Answer:

4 1/12 is your answer

Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.

Given that the perimeter of the equilateral triangle below is 63 , solve for x

Answers

An equilateral triangle has 3 equal sides with 3 equal angles.

Let x be the length of a equilateral triangle.

x + x + x = 63

3x = 63

x = 63/3

x = 21

Hope it helps! Make me brainliest if it’s correct!

The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?

Answers

Answer:

Wassss uppppp

Step-by-step explanation:

i dont know

A hexagonal prism has.............vertices.

Answers

Step-by-step explanation:

A hexagonal prism has 12 vertices.

Hope this answer will help you.

Have a great time

Help Me ASAP!
Assume the following in the picture: carbon = black oxygen = red hydrogen = blue Which formula represents the given molecule?

Answers

Answer:

Answer is a

Step-by-step explanation:

You count carbon is c so count the black circles there are 5 and do the same with the rest

Answer:

Step-by-step explanation:

first come first served

Answers

Answer:

10. 32 mpg

12. 5 1/3 grams = 1 serving

14. 0.8 cent per can

16. 1/2 kg = 1 foot

18. 8 7/10 meters in 1 hour

Step-by-step explanation:

10. 256/8=32

12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1

14. 4.8/0.6=0.8

16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2

18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10

Jennifer has 4 pizzas that she cuts into eights. How many 1/8 size pieces does she have? please help mark you branlyest!!

Answers

Answer:

Step-by-step explanation:

4/1 / 1/8=32 :)

I believe the answer would be 32

There’s 8 1/8 size pieces for 1 pizza so if you multiply 8 by 4 you’d get 32

Just give me the answer

Answers

Answer:

y^6 is the simplest form

Answer:

y=6

Step-by-step explanation:

THATS KHANACADEMY RIGHT LOLLL

What pair of angles is congruent?

Answers

Answer:

angle f angle g and angle h are congruent as they are 90 degree

PLEASE HELP ASAP ILL GIVE BRAINLY

Answers

Step-by-step explanation:

x= (70+83+90)/3= 81

85=(89+75+y)/3

255=89+75+y

y=91

92=(86+a+a)/3

276=86+2a

2a=190

a=95

93=(b+b+b)/3

279=3b

b=93

Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?

Answers

Answer:

8 dias

Step-by-step explanation:

Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.

180 / 12 = 15 m2 por dia

Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia

15 / 6 = 2.5

Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta

5 * 2.5 = 12.5 m2 por dia

Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.

100 / 12.5 = 8 dias

help plz
−86 + (−14) − 23 − (+22) + 16 − (−34)=

Answers

Step-by-step explanation:

the answer is -86 mark as brainliest or rate this if u found this helpful :)

Answer:

-105

Step-by-step explanation:

-86-14= -100

-100-55= -155

16+34= 50

-155+50= -105

P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

Answers

Answer:

P = - 1

Step-by-step explanation:

Given P varies inversely with x the the equation relating them is

P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition P = 12 when x = 4

12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

48 = k

P = [tex]\frac{48}{x}[/tex] ← equation of variation

When x = - 48, then

P = [tex]\frac{48}{-48}[/tex] = - 1

What is the value of the expression 1/2 divided by 6

Answers

Answer: the answer is to divide and you will come up with the answer 1/12

Step-by-step explanation:

Answer:

here is 1/2 divided displayed mathematically

1/2 ÷ 6

1= numerator

2= denominator

3= whole number

to make it fraction from the answer you keep the

numerator by the whole number to make a new

denomiter

___1___ = _1_

2×6 12

thus the answer to 1/2 divided by 6 on fraction form is

1/2 is the answer

The solution of –2x + 13 < 9 is ______

Answers

Answer:

-2x + 13 < 9

or, -2x < 9-13

or, -2x < -4

or, x > -4/-2

or, x > 2

Hope you got your answer.

Answer:

x>2

Step-by-step explanation:

-2x<9-13

-2x<-4

x>2

you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?

Answers

Answer:

you would of bought three bags of tomatoes

HELP ASAP!!! make sure to submit a pic of the graph!

Answers

Answer:

Good luck with math

3c + 1 = c + 1
What does c equal

Answers

Answer: c=0

Step-by-step explanation:

What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?

Answers

Answer:

12x × 1x × 3x = 36x

)))))))))))))))))))

All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;

⇒ - 7/5 , 1/2 , 4

What is mathematical expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph of the function,

⇒ y = (5x + 7) (2x - 1) (x - 4)

Now,

Find x - intercept of the equation as;

Substitute y = 0, we get;

⇒ y = (5x + 7) (2x - 1) (x - 4)

⇒ (5x + 7) (2x - 1) (x - 4) = 0

This gives three conditions as;

⇒ 5x + 7 = 0

And, 2x - 1 = 0

And, x - 4 = 0

After solve we get;

⇒ 5x + 7 = 0

⇒ x = -7/5

And, 2x - 1 = 0

⇒ x = 1/2

And, x - 4 = 0

⇒ x = 4

Hence, All the x - intercept = -7/5 , 1/2 , 4.

Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;

⇒ - 7/5 , 1/2 , 4

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Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510

Answers

Answer:

$30

Step-by-step explanation:

since they exchanged them we can assume they are worth the same

250=4250

First find how many pesos is worth 1 dollar

4250/250= 17

Then divide the amount the sweater costs by how much 1 dollar would be

510/17= 30

The sweater would cost 30 dollars.

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