AB and CD intersect each other at O and O is the mid-point of both AB and CD. Prove that AC = BD and AC || BD.

Answers

Answer 1

Answer:

Following are the proving to this question:

Step-by-step explanation:

Please find the graph image in the attachment.

Given O is the mid-point of AB and CD

[tex]\to OA=OB \\\\\to OC=OD\\\\In\ \Delta AOD,\Delta BOC\\\\AO=BO\\\\ CO=DO\\\\ \angle AOD= \angle BOC (\text{vertically opposite angles}) \\\\[/tex]

[tex]By \ S.A.S \ congruency \\\\\Delta AOD \cong \Delta BOC \\\\\to AD=BC[/tex]

AB And CD Intersect Each Other At O And O Is The Mid-point Of Both AB And CD. Prove That AC = BD And

Related Questions


For each sequence, find the first 4 terms and the 10th term.
b) 5 - 2n

Answers

Answer:

first 4 terms: 3,1,-1,-3

10th: -35

Step-by-step explanation:

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

3, 1, - 1, - 3 and - 15

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the rule, that is

a₁ = 5 - 2(1) = 5 - 2 = 3

a₂ = 5 - 2(2) = 5 - 4 = 1

a₃ = 5 - 2(3) = 5 - 6 = - 1

a₄ = 5 - 2(4) = 5 - 8 = - 3

The first 4 terms are 3, 1, - 1, - 3

For 10th term substitute n = 10 into the rule

a₁₀ = 5 - 2(10) = 5 - 20 = - 15

find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth

Answers

Answer:

X = 2.4

MN = 7

JL = 7.4

Step-by-step explanation:

someone plz answer this now

Answers

Answer:

x = 90°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, so

x = 90°

Julie made five loaves of bread that had 1/4 cup of flour in each loaf. How many cups of flour were used in all?

Answers

Answer:

1 1/4 cups in total

Step-by-step explanation:

1 loaf-1/4 cup

2 loaf- 2/4 cup

3 loaf= 3/4 cup

4 loaf=4/4 cup

5 loafs in total equal: 1 1/4

Hope this helped!

Answer:

1 cup and 1/4

Step-by-step explanation:

one piece of bread is a quarter of a cup

and 4 quarters make a whole so- 4 loaves is one cup. then one loaf is equal to 1/4 so

4 and 1/4 cups

a + 7a+3ab-2ab-1+6 Simplify ​

Answers

Answer:

8a + ab + 5

Step-by-step explanation:

1. a + 7a+3ab-2ab-1+6

2. combine like terms

(a + 7a) + (3ab - 2ab) + (-1+6)

8a + ab + 5

Answer:

8a + ab + 5

Step-by-step explanation:

combine like terms. like term have same variables

a and 7a  ; 3ab and (-2ab) ; (-1) and 6 are like terms

a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5

A bedroom door has an area of 21 square feet. Its perimeter is 20 feet. What are the
dimensions of the door?

Answers

Answer:

The door is 7 feet x 3 feet

Step-by-step explanation:

AREA: 7 x 3 = 21

PERIMITER: 7 + 7 + 3 + 3 = 20

Brainliest for correct answer

Answers

Answer:

a) b

b) d

Step-by-step explanation:

Three sets Venn diagram

Answers

Answer:

I hope this helps a little bit

I won 70 stickers. I gave 1 to each student. I have
54 left. How many did I give away?

Answers

Answer:

16

Step-by-step explanation:

70-54=16

Answer: you gave away 16 stickers

Step-by-step explanation: if you have 70 and you give one to each student, to find the amount you lost you would do 70-54 because that’s how many u have left and it leaves u with 16

The sum of twice a number and 4 times another number is 4. The first number
decreased by the second number is 5. Find the numbers.

Answers

32 is the answeriikjkihhhnmdlshsndjdk

Select the correct answer.
How many solutions exist for the absolute value equation 2|x + 2| + 1 = 9?


0

1

2

3

Answers

Answer:

There are 2 solutions for 2|x + 2| + 1 = 9

Step-by-step explanation:

Hope this helps

What is the value of n in the equation below?

StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9

Answers

Answer:

ok ok it it 12

Step-by-step explanation:

stay safe 2021

Answer:

12

Step-by-step explanation:

Edge

What Expression goes with the Phrase: "The Product of 4 and the
difference of 10 and b."
A. 4(b-10)
b. 4x10 -b
C. 4b- 10
d. 4(10-b)

Answers

Answer:

the correct answer is 4(10 -b)

pls help with mathhh !
thx !

Answers

Answer:

z = 65

Step-by-step explanation:

z + 81 + 34 = 180 (Sum of angles in a triangle is 180)

z + 115 = 180

z = 180 - 115

z = 65

z=65 i’m prtty sure..........

What is the inverse of H(x)=1/2x+3

Answers

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]h^{-1}[/tex] (x) = 2x - 6

Step-by-step explanation:

let y = h(x) and rearrange making x the subject

y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 to clear the fraction )

2y = x + 6 ( subtract 6 from both sides )

2y - 6 = x

Change y back into terms of x with x = [tex]h^{-1}[/tex] (x)

[tex]h^{-1}[/tex] (x) = 2x - 6

How do I change my level? It says I am in high school but I am only in middle school.

Answers

Answer:

go on your profile ---> edit profile----> preferences

Step-by-step explanation:

8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no​

Answers

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

angelica owns 3 1/4 acres of land . she grows cabbage on 3/4 of the land. on how many acres of land does angelica grow cabbage

Answers

Answer:

2.4375 acres for cabbage

Step-by-step explanation:

HELP ME PLZ 20 POINTS AND BRAINLIEST

Answers

Answer:

3584

Step-by-step explanation:

Solve the square rove equation. 5-2Vx=11
(V=square root)

A.X=9,X=3
B.X=3
C.X=4
D.no solution

Answers

Plug the equation into Photomath it’ll tell you

Sarah Scout Troops sold 80 boxes of shortbread cookies shortbread cookies made up 20% of the troops cookie sales how many boxes of cookies did Sarah Scout Troops sell in all ?​

Answers

Answer:

400

Step-by-step explanation:

20x5=100

80x5=400

Alisha received a fruit basket as a thank you gift and it had 18 tangerines, 4 pears, 2 plums, 6 bananas, and 3 peaches. Write the ratio of tangerines to pears and bananas in simplest form.

Answers

Answer:

9:14

Step-by-step explanation:

18:(18+4+6)

18:28

(18÷2);(28÷2)

9:14

pls help asap no wrong answer pls

Answers

Answer:

answer is in the picture.

Answer:

1/2

Step-by-step explanation:

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min ?
A.25 km
B.26 km
C.35 km
D.40 km

Answers

Answer:

25 km

Step-by-step explanation:

1 km in 4m

so

100/4 = 25

25km

hii please help i’ll give brainliest!!

Answers

Answer:

third one i think soo ( a push or pull acting on an object )

if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?​

Answers

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

What is an equivalent ratio to 3/4?

Answers

Answer:

6/8

Step-by-step explanation:

multiply both of them by 2 and its equal.

you get 6/8

Write a function equation that represents a line that contains the two points (-3, 5) and (2, 10).

Answers

Step-by-step explanation:

1. 1st of all calculate the gradient

( - 3, 5) ( 2, 10)

Gradient = (10 - 5) / ( 2--3)

= 1

2. Then find the eq

Y = mx + c

Where m is the gradient

y= 1x + c

Now replace any 2 coordinates from above in the eq.

For ex I'm taking (2, 10)

Y = 1x + c

In the coordinate, x = 2 and y =10

By replacing this in the eq, I will find c

10 = 1(2) + c

2 + c = 10

c = 10 - 2

= 8

So the eq is y = x + 8 ⬅️

After paying $3 for a sandwhich, Trevor has $9. How much money did he have before buying the sandwitch

Answers

Answer:

12 dollars

Step-by-step explanation:

9+3

The answer is 12 because of the following reason
If you ad 3 to 9 dollars it will equal 12

Autumn measures the angle of elevation from the ground to the top of an 18-foottall tree as 27°. To the nearest tenth of a foot, how far is she from the tree?

Answers

Answer:

35.3 ft (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

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