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

Identify the property shown.
5 + 3 = 3 + 5

Answers

Answer:

Communitive property

Step-by-step explanation:

It's the same if we switch both numbers around

5+3=8

3+5=8

Help!
This is for Patterns, Functions, and Algebra!

Answers

you didn't ask the question

When n = 3, which of the expressions below will be greater than 50? Select all that apply. A) (8n2÷9)⋅7 B) 2n2⋅3 –4n C) 4n2–6n+12 D) 7n+(n⋅8)

Answers

Answer:

A

Step-by-step explanation:

a)

[tex](8(3)^{2} / 9) * 7[/tex]

8(9) / 9 = 8 x 7 = 56

b)

[tex]2(3)^{2} * 3 - 4(3)[/tex]

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

[tex]4(3)^{2} - 6(3) + 12[/tex]

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

[tex]7(3) + (3 * 8)[/tex]

21 + 24 = 45

:) A linear equation written in the form Ax + By = C is in​

Answers

Answer:

Standard Form

Step-by-step explanation:

Help me out !! I’ll appreciate it !!

Answers

I would go with 1/2.

find the value of n
1/4(2n +6) = 4

Answers

Answer:

n=5

Step-by-step explanation:

1/4(2n +6) = 4

Multiply each side by 4

4*1/4(2n +6) = 4*4

(2n +6) = 16

Subtract 6 from each side

2n+6-6 = 16-6

2n = 10

Divide each side by 2

2n/2 = 10/2

n =5

Answer:

n= 5

Step-by-step explanation:

Hello! So to find the value of n, we just multiply 1/4 by the numbers inside the parentheses and then solve for n by dividing. Let's do it!

1/4 (2n + 6) = 4

0.5n + 1.5 = 4

0.5n = 4 - 1.5

0.5n = 2.5

n = 2.5 / 0.5

n = 5

Hope that helps, let me know if you have questions! :)

Solve the inequality a+4/2>16

Answers

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

How to solve the inequality expression?

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

Read more about inequality at:

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2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.​

Answers

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this class

Answers

Answer:

500 students

Step-by-step explanation:

Britney is passionate about movies and dreams of going to film school. Her goal for the next
year is to watch every movie that won the Academy Award for Best Picture. She's already
seen some of them and now plans to watch one per week until she's seen them all. After
following her plan for 2 weeks, Britney has seen 15 of the Best Picture winners. After 7
weeks, she has seen 20 of them.
In this relationship, x represents how long (in weeks) Britney has followed her plan, and y
represents the number of Best Picture winners she has watched.
Graph two points for this relationship and the line passing through them.
50

Answers

yes i and the girls are in town

Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 21 books?

Answers

Step-by-step explanation:

Say 21 divided by 3, which gives you 7

So mai has 7 books

Answer:

Mai has 7 books

Step-by-step explanation:

Tyler has 21 books and 3 times more than Mai

21/3 = 7

The dimensions of a lawn shaped like a trapezoid are given in meters. 18 meters, 4 meters, 5 meters, 12 meters. What is the area of the lawn in square meters?

Answers

Answer:

the  area of the lawn in square meters is  60 meters^2

Step-by-step explanation:

The computation of the area of the lawn in square meters is shown below

= 12 meters × 5 meters

= 60 meters ^2

Here we multiply the two sides so that the area of the lawn could be come

Hence, the  area of the lawn in square meters is  60 meters^2

Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answers

Answer:

14.45

Step-by-step explanation:

Since the solution in this case is C=π(d)/Circumference=pie * diameter you insert 3.14 for pie and 4.6 for the diameter than multiply them together to get 14.444 and it said to round to the nearest hundredth if necessary so now its 14.45.  Hope this helps!

From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?

Answers

Answer:

1974.6 feets

Step-by-step explanation:

The plane's altitude is : h + 100 feets

To obtain h, according to the attached picture ;

We can use trigonometry :

Tan θ = opposite / Adjacent

Opposite = h ; adjacent = 3000 feets

Tan 32° = h / 3000

h = 3000 * 0.6248693

h = 1874.6080

Plane's altitude :

h + 100 feets

(1874.6080 + 100) feets

= 1974.6 feets

PLZ NEED HELP ASAP!!!!!!!!....
Choose the inequality that best matches each given situation.

The Garden Club is planting fruit trees in their school’s garden. There is one large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need pound fertilizer each.
A:25 x + 5 ≤ 12
B:1/2 x + 5 ≤ 25
C:1/2 x 25 ≤ 5
D:5 x + 1/2 ≤ 25
NEED HELP

Answers

Im not 100% sure but i believe it would be C

Answer:

im positive you don't need the answer anymore but i'm 96% sure it's B for anyone who's searching up the question

Step-by-step explanation:

(when I answered the question it had a check your answer thing and said B was right)

Is 1/4, 1/5, 1/6, or 1/8 closer to 1

Answers

Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

Someone please answer this for me :(

Answers

Answer: [tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is

[tex]\frac{4-7}{4-0}=-\frac{3}{4}[/tex]

Since the y-intercept is (0,7), the equation is [tex]y=-\frac{3}{4}x+7[/tex]

When can we not use the distributive property?

Answers

Answer:

Step-by-step explanation: We usually use the distributive property because the two terms inside the parentheses can't be added because they're not like terms;

Solve 5(2–m)-3(4 – 2m) = 20

Answers

Step-by-step explanation:

5(2–m)-3(4 – 2m) = 20

10-5m-12+6m=20

m=22

hope it helps

answer

m =22

solution

5(2-m)-3(4-2m)=20

10-5m-12 +6m=20

-2+m =20

m= 20+2

m =22

WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?

Answers

Me das mas información porfavor?

A single die is rolled one time What is the probability of rolling an even number or a 5?

Answers

Answer: 4/6 or 2/3

Step-by-step explanation:

Step-by-step explanation:

Total sample space , n(s) = 6

Favourable cases of rolling even number,

n(e) = 3

Favourable cases of rolling 5 , n(f) = 1

Probability of rolling an even number or a 5 is

= p(e) + p(f)

= n(e) / n(s) + n(f) / n(s)

= 3 / 6 + 1 / 6

= 4 / 6

= 2/3

Hope it will help :)❤

Urgent: Find value of X

Answers

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

yes x=44 because it is a straight line that equals 180

35 POINTS!
Help plz...
Match each expression with the equivalent expanded expression. -5 (2x + 3/5) x + 1.5 0.5 (2r + 3) -20 + 3 2 (4x-2) 8x - 4 1/3 (9 +81) 30 -3 (2/3x - 1) -10x - 3​

Answers

Answer:

can you give us a link

Step-by-step explanation:

A rectangular prism has a length of 15 inches, a height of 13 inches, and a width of 3 inches. What is its volume, in cubic inches?

Answers

Answer: 585

Step-by-step explanation:

V=lwh

V= 15 * 13 * 3

If PR = 5x – 3 and QS = 3x – 5 and QS == PR, what are the length of the
diagonals?

Answers

Answer:

Step-by-step explanation:

5x - 3 = 2(3x - 5)

5x - 3 = 6x - 10

6x - 5x = 10 - 3

x = 7

QS = 3(7) - 5 = 16 units

PR = 5 × 7 - 3 = 32 units

*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form

Answers

We want to write the equation in the form

y = mx + b.

We need to solve for y.

4x + 2y = -6

Subtract 4x from both sides.

4x - 4x + 2y = -4x - 6

2y = -4x - 6

Divide both sides by 2.

2y/2 = (-4x - 6)/2

y = (-4x - 6)/2

y = -2x - 3

Done.

7m
6m
3m

Find rev surface area of each prism

Answers

Answer:

126m

Step-by-step explanation:

7 x 6 x 3

Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2

Answers

Answer:sorry its c

Step-by-step explanation:

The mean value of Keisha’s data is 1.333333.

What is Mean?

The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),

We have the data,

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.

So, the mean value of data is

= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12

= 16/12

= 4/3

= 1.33333

Learn more about Mean here:

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PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth. ​

Answers

sin20 = x/5
5sin20 = x

x = 1.71

cos20 = y/5
5cos20 = y

y = 4.70

Hope this helps.

Please help me ASAAAPPPP I need help rn !

Answers

Answer:

1099 in.²

Step-by-step explanation:

2πr²+2πrh

2×3.14×5×5+2×3.14×5×30

157+942

1099 in.²

Answer:

1099 in. ²

Step-by-step explanation:

because of how its measured

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