In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively
meeting at O. Prove that
angle AOB = half of [angle C+ angle D]

Answers

Answer 1

Answer: ABCD is a quadrilateral

To prove : ∠AOB=

2

1

(∠C+∠D)

AO and BO is bisector of A and B

∠1=∠2∠3=∠4...(1)

∠A+∠B+∠C+∠D=360

(Angle sum property)

2

1

(∠A+∠B+∠C+∠D)=180...(2)

In △AOB

∠1+∠3+∠5=

2

1

(∠A+∠B+∠C+∠D)

∠1+∠3+∠5=∠1+∠3+

2

1

(∠C+∠D)

∠AOB=

2

1

(∠C+∠D)

Explanation: In a quadrilateral ABCD. AO and BO are bisectors of angle A and angle B respectively. Prove that ∠AOB=

2

1

{∠C+∠D}.


Related Questions

Does anyone know what to put? I need help

Answers

Answer:

P'(3, - 3 )

Step-by-step explanation:

Given

M(- 3, 4 ) → M'(- 1, - 1 )

To obtain the image  2 is added to the x- coordinate and 5 is subtracted from the y- coordinate, that is

Translation rule is

(x, y ) → (x + 2, y - 5 ), thus

P(1, 2 ) → P'(1 +2, 2 - 5 ) → P'(3, - 3 )

Simplify this expression.

2(10) + 2(x – 4)

explain your steps. will give brainliest for right answers.

Answers

Answer:

12 + 2x  OR  2x + 12

Step-by-step explanation:

2(10) + 2(x - 4)

Distribute;

20 + 2x - 8

Collect like terms;

12 + 2x  OR  2x + 12

QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.

Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?


5 cm

10 cm

20 cm

30 cm

Answers

30cms lol I think haha

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW

Answers

Answer:

y = 5

x = 14

Step-by-step explanation:

AOC=25

AOL=90

Therefore COL = 65

COM is a 90 degree angle since MOD is 90 degrees

COM - COL = 90 - 65 = 25

5y = 25

y=5

LOB = 90

5y + 3x + 23 = 90

5(5) + 3x +23 = 90

25 + 3x + 23 = 90

48 + 3x = 90

3x= 90 - 48

3x = 42

x= 14

Answer:

x = 14, y = 5

Step-by-step explanation:

MOB = LOC

(3x + 23) + 25 = 90

3x + 23 = 65

3x = 42

x = 14

3(14)+23 + 5y = 90°

5y = 25

y = 5

Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0

Answers

Answer:

sin x, –1

Step-by-step explanation:

did on edge



In the given figure lines AB and CD intersect
ato. If angle AOC + angle BOE = 70 and angle DOB
=40°, find angle BOE and reflex angle EOC.

Answers

Answer:

reflex angle EOC = 250°

Step-by-step explanation:

reflex angle EOC

= angle COA + angle DOA + angle DOB + angle BOE

angle DOB = 40° (given)

angle DOB + angle DOA = 180° (linear pair)

angle DOA = 180° - 40°

angle DOA = 140°

angle COA + angle DOA = 180° (linear pair)

angle COA = 180° - 140°

angle COA = 40°

angle COA + angle BOE = 70° (given)

angle BOE = 70° - 40°

angle BOE = 30°

Now,

we have,

reflex angle EOC = 40° + 140° + 40° + 30°

= 250°

I really need help with something please help i will give you a site that you can chat people on the first answer gets it.

50x50=

Answers

Answer:

2500

Step-by-step explanation:

Answer:

2,500

Step-by-step explanation:

50x50=2,500

The easiest way to figure this out is to multiply 5x5 and then add the two zeros to the end.

Hope this helps you! Have a great day C:

kate ran 4 miles how far did she run in kilometers

Answers

Answer:

6.4

Step-by-step explanation:

Answer:

6.5 kilometers

Step-by-step explanation:


What is the equation of the line?

Answers

Answer:

y=-3x-3

Explanation:

If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day

Plz Help guys with this question please!!!

Answers

Answer:

-3+5+6g=11-3g
2+6g=11-3g
6g+3g=11-2
9g=9
9g/9=9/9
g=1

Solve 15x +2=17

Please help me. It’s superrrr important

Answers

Answer:

15x +2=17 so the first thing you want to do is minus 2 then divide by 15 which gives you x=1

Hi everyone 20 point giveaway!

Would you rather be allergic to chocolate or you have to be broke for the rest of your life?
I will be doing more giveaways, stay tuned!

Answers

Answer:

Allergic to chocolate

Step-by-step explanation:

I don't really eat chocolate that much lol.

Answer:

Well i think i would rather be alergic to chocolate

Step-by-step explanation:

Brainliest % stars Thanks Correct answers Fast

Answers

Answer:

I remember taking this it should be A

Step-by-step explanation:

PLZZZZ HELP ME!!!!! factor 15x + 81

Answers

Answer: 3(5x+27)

Step-by-step explanation:

15 and 81 are both divisible by 3.

Answer:

-5.4

Step-by-step explanation:

x= -81/15= -5.4

Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours

Answers

Answer:

he ran 9 miles in 6 hours

Step-by-step explanation:

trust me

pls mark me as brainliest

Answer:
9 mi

Step-by-step explanation:

Step 1. Calculate the rate.
rate = distance/time
r = d/t = 6 mi/4 h
===============
Step 2. Calculate the time.
r = d/t Multiply both sides by t
d = tr
t = 6 h Calculate the distance
d = 6 × 6/4
d = 36/4
d = 9 mi
Jeff will run 9 mi in 6 h.

Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast an 18 foot shadow what is the length in feet of the shadow of the shorter tree

Answers

Answer: Length of shorter tree = 7.2 feet .

Step-by-step explanation:

Given : Height of two trees as 50 feet and 20 feet.

At same time the angle made by sun rays would be same for both trees.

Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.

Corresponding sides of similar triangles are proportional.

So [tex]\dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2[/tex]

So, Length of shorter tree = 7.2 feet .

See below I have take a picture of the screen

Answers

I think it’s D. Sorry if it’s no help but I think it’s D.

The first side of a triangle is 8 inches shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 44 inches. What is the length of the longest side?

Answers

Answer:

i think it's 12 if i did that correctly lmk if it's wrong.

Step-by-step explanation:

PLEASE HELP me with this!! will mark brainliest.

Answers

Answer:

4 roots

Explain:

Odd degree polynmial

someone plsssssss help me with this​

Answers

Answer:

99 ÷ 9 equal 11

Step-by-step explanation:

99 ÷ 9 = 11. yeah

Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12​

Answers

Answer:

12

Step-by-step explanation:

52 minus 40

Find the x-intercept and y-intercept
from the following linear equation:
D x + 4y = -56
x-intercept ([?],[]).
y-intercept (I):[])

Answers

Step-by-step explanation:

x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points in the game? Explain how you got your answer.

Answers

Answer:

1/4

Step-by-step explanation:

The total number of girls on the team is 12

3 scored over 10 points

The fraction scoring over 10 points will be 3/12 = 1/4

The answer was obtained by dividing the number of girls who scored over 10 points by the total number of girls on the team

We then proceeded to write our answer in a fraction form

Answer:

1/4.

Step-by-step explanation

Since 3 of them scored over 10 points in the game, and there were 12 girls. You have to divide 12 by 3, which equals 1/4.

Solve the equation A = bh for b.

b = Ah

b = A/h

b = h/A

b = h – A

Answers

Answer:

b=Ah

Step-by-step explanation:

multiply both sides by h

Please help 5 to the 11th power divided by 5 to the ? Power equals 5 to the 4th power

Answers

Answer:

78125

Step-By-Step Explanation:

The graph shows the distance Henry drives on a trip. What is Henry's speed?


A. 60 miles per hour
OB. 30 miles per hour
O C. 40 miles per hour
OD. 70 miles per hour

Answers

Answer:

60

Step-by-step explanation:

every 1 hour, he is going 60 miles

The answer is 60 miles per hour

Proportional Relationships
Complete this table
1 | ?
4 | 12
6 | ?
14| ?​

Answers

hi there! in my understanding, here are the answers...

Answer:

1 | 3

4 | 12

6 | 18

14 | 42

Step-by-step explanation:

12 ÷ 4 = 3

1 x 3 = 3

6 x 3 = 18

14 x 3 = 42

hope this helped! have a good one.

Hi bro what did a up bro

What is the y intercept of the graph and table? please explain well on how you got your answer:)

Answers

Answer:

4

Step-by-step explanation:

The first point is on 4 on the y-axis

hope this helps :3

if it did pls mark brainliest

The fastest pizza box folder can assemble 7 pizzas in 25 seconds. At this rate, how long would it take to assemble 21 pizza boxes

Answers

Answer:

50 seconds in order to assemble 20 pizza boxes

Step-by-step explanation:

there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.

the second way takes longer but you write:

2, 2, 2, 2, 2, 2, 2, 2, 2, 2,

5, 5, 5, 5, 5, 5, 5, 5, 5, 5,

so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.

solve (x³)*(x⁶)? ((((((((((good luck)))))))))))

Answers

Answer:

x^9

Step-by-step explanation:

When we multiply exponents with the same base, we add the powers

a^b * a^c = a^(b+c)

x^3 * x^6 = x^(3+6) = x^9

Step-by-step explanation:

[tex](x {}^{3}).( {x}^{6} ) = (x {}^{3 + 6} ) = {x}^{9} [/tex]

Other Questions
Use the distributive property to write an expression that is equivalent to: 3(x + 5) Find the zeros and give the multiplicity of each for f(x)=x^6-3x^5-28x^4 What was Vasco da Gama's major accomplishment as an explorer?A.) He conquered the Spice IslandsB.) He was the first to sail around Africa to IndiaC.) He was the first to sail to ChinaD.) He discovered the Philippine Islands PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON Which of these is in the interrogative mood?o What a surprise!o I don't know how you do it.What's the best way to write an essay?0 Open the window. please. Two cities are separated by 200 miles. City X has an altitude of 122 meters and City Y has an altitude of 260 meters. Calculate the altitude gradient between the two cites. Fill in the blanks with the correct form of the verb: MI hermana _____ (pedir) un bocadillo con pavoWill name brainliest it is easier to cut with a sharp knife then what a blunt one Find the equation of a line that passes through the points (6,7) and (8,3).Leave your answer in the form y = mx + c The packages of henna powder cost $12 each and the squeezebottles cost $3 each. What is Sushmila's total cost for the supplies? How do you create zero pairs using algebra tiles? Add a positive unit tile to a negative unit tile. Add a positive unit tile to a positive unit tile. Add a negative x-tile to a negative x-tile. Add a negative x-tile to a positive unit tile. The sales tax rate is 4%. If Miguel buys a silver coat rack priced at $594, how much tax will he pay? swords are better than words. Which explains why Romans were upset by the emperor's decision to create more coins? The people needed more coins to buy the same amount of food as before. The people needed fewer coins to buy the same amount of food as before. The people thought merchants inflated prices because they had more money. The people realized the coins were worth more money than before. write the difference between eastern and western coastal plains? you should solve the answer for z not m pls 22.) The graph below shows the speed of a snail as he crosses the road.Snail Crossing1%a. What is the speed of the snail?1Distance (meters)b. If the road is 6 meters wide, how long will ittake for the snail to cross ?c. How far will the snail travel in 30 minutes?56Time (Minutes) The Open Grill incurred the following costs in acquiring a new piece of land: Cost of the land $ 80,000 Commissions 4,800 Liability insurance for the first year 1,200 Cost of removing existing building 20,000 Sale of salvaged materials (4,000 ) Total costs $ 102,000 What is the total recorded cost of the land? a. $102,000. b. $100,800. c. $106,000. d. $80,000. Which skateboarder has greater momentum?Skateboarder A: mass = 60 kg; velocity = 1.5 m/sSkateboarder B: mass = 50 kg; velocity = 2.0 m/s Margie couculated she would spend $175on school supplys this year. She actually spent $96.50. What was margies percent of error