Given: AB ≅ BC and MA ≅ PC ∠AMO ≅ ∠CPO Prove: ∆AMO ≅ ∆CPO

Answers

Answer 1

Answer:

OM = ON by using concurrency of Δs BOM and DON

Step-by-step explanation:

In the figure ABCD:

∵ AB // CD

∵ CB // AD

∵ In any quadrilateral If every two sides are parallel then

 it will be a parallelogram

∴ ABCD is a parallelogram

∴ AC and BD bisects each other at O ⇒ (properties of parallelogram)

∴ OD = OB ⇒ (1)

∵ BC // AD

∴ m∠CBD = m∠ADB ⇒ alternate angles

∵ M ∈ BC , N ∈ AD , O ∈ BD

∴ m∠MBO = m∠NDO ⇒ (2)

∵ BD intersects MN at O

∴ m∠MOB = m∠NOD ⇒ (3) (vertically opposite angles)

From (1) , (2) and (3)

∴ ΔBOM ≅ ΔDON

∴ OM = ON

Answer 2

By using concurrency of Δs BOM and DON, OM = ON Hence proved ∆AMO ≅ ∆CPO.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

In the given ABCD:

∵ AB // CD

∵ CB // AD

In any quadrilateral, every two sides are parallel, then it will be a parallelogram.

ABCD is a parallelogram

Thus we can say that AC and BD bisect each other at O

∴ OD = OB ⇒ (1)

∵ BC // AD

∴ m∠CBD = m∠ADB

M ∈ BC , N ∈ AD , O ∈ BD

m∠MBO = m∠NDO ⇒ (2)

BD intersects MN at O

m∠MOB = m∠NOD

So From (1), (2), and (3)

ΔBOM ≅ ΔDON

OM = ON

Hence, proved ∆AMO ≅ ∆CPO.

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Related Questions

Help please: Find the quotient

Answers

-15 this is it because you will divide the numbers for by denominator

Answer:

15 is the short answer

Step-by-step explanation:

Solution for 0.5 is what percent of 7.5:

0.5:7.5*100 =

(0.5*100):7.5 =

50:7.5 = 6.6666666666667

Now we have: 0.5 is what percent of 7.5 = 6.6666666666667

Question: 0.5 is what percent of 7.5?

Percentage solution with steps:

Step 1: We make the assumption that 7.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=7.5$.

Step 4: In the same vein, $x\%=0.5$.

Step 5: This gives us a pair of simple equations:

$100\%=7.5(1)$.

$x\%=0.5(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{7.5}{0.5}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{0.5}{7.5}$

$\Rightarrow x=6.6666666666667\%$

Therefore, $0.5$ is $6.6666666666667\%$ of $7.5$.

A family buys 5 airline tickets and travel insurance that costs $17 per ticket. The total cost is $850. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket ​

A: 850=5x+17
B:850=17(x+5)
C:17=5x + 850
D:850+5(x+17)

Answers

Answer:

850+5(x+17) (D)

153

Answer:

I think it's B

Step-by-step explanation:

850 = 17(x + 5)

5 is the number of tickets bought

X is the price

$17 is the insurance

850 = 17x + 85

A football team loses 3 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.

Answers

Answer:

-12

Step-by-step explanation:

If you lose 3 yards for EACH of the 4 plays, than the equation is -3x4=-12

-12, If your loosing 3, it’ll be a negative number. If you loose 3 yard 4 times, it’ll be multiplying -3 • 4 and when multiplying two numbers that have different signs, the product will be negative. So, if you just multiply 3x4 it’ll equal 12. But they have different signs so it’ll be -12. :)

What is the equation of this line in Slope-Intercept Form?


Answer Choices:
y = 2x + 3
y = 3x + 1/2
y = 1/2x + 3
y = 3x + 2

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

because the y intercept is 3 based on the graph then i found two points (-4,1) and (-2,2) then i used solved. -4+2=-2 , 1-2 =-1  which means that you get -2/-1 which equals 2

Nikolas and Jayson recorded the number
of miles each ran over two years.
Miles Ran
Year Nikolas Jayson
Last Year 1,362 1.948
This Year 1,982 1.013
A. Write and solve equations to find
how many more total miles Nikolas
and Jayson ran last year than
this year.
B. Estimate how many more miles
were run last year than this year by
rounding each number in the table
to the nearest hundred and solving
the problem. Use the estimate to 1
check your answer to Part Als
reason

Answers

Answer:

6,219 .065

Step-by-step explanation:

The answer is 6,219.065

1.2.PS-22 Question Help 1 MIN LEFT PLSSSS HELP

Use the negative fractions −

1

10 and −

1

9.

a. Find the decimal equivalents for each fraction.

b. Which is a repeating​ decimal? Which digit is​ repeating?

a. What is the decimal equivalent of −

1

10​?

A.

−0.1

B.

−0.1

C.

−0.11

D.

−0.9

Click to select your answer and then click Check Answer.

3

parts remaining

Clear All Check Answer

plssssss help I have 1 MIN LEFT

Answers

Lol k lol k lol k lol k it’s over 9,000

help giveing brainlist

Answers

Answer:

2.6

Step-by-step explanation:

Answer:

if it means how many tics away its 25 away but i can give you a

expression and you dnt have to use it but i worked

it out and i kinda wanna show ya...  

Step-by-step explanation:

well tell you umm nyways

if you start at 0 and go up 13 then go back 26 you can plot them both

and get the expression 13- 26=-12 is that the answer no but i was just putting

that out there

hope this helped

The price of gas changed from $2.34 to $3.22. Calculate the percent change in the price of gas?
a 0.88%
b 5.56%
c 25%
d 37.6%

Answers

Answer:

37.6% (Answer d)

Step-by-step explanation:

The increase in price was $3.22 - $2.34), or $0. 88

Now determine what percentage of the original price, $2.34, $0.88 is:

 $0.88

------------ * 100^ = 37.6% (Answer d)

 $2.34

Danielle makes $20 per week, and she already has $50. Write an equation to find y, the amount of money Danielle has after x weeks.

Answers

Answer:

50 + 20x = y

(you should get a second opinion)

Answer:

y=20x+50

Step-by-step explanation:

In slope-intercept form y=mx+b,

y is determined after the x value is plugged in

m is the slope (in this case it's 20)

x is the value you plugin

and b is the y-intercept; this value does not change

put it all together and you get y=20x+50

Hope this helps!

Find the least common multiple (LCM) of 8 and 10.

A. 10
B. 18
C. 40
D. 80

Answers

The lcm of these two give numbers is 40
Option C

Answer:

The answer is C

Step-by-step explanation:

the least common multiple is the smallest number that you get when you multiple the two numbers together.Then it is divided by the least commom factor which is the smallest number that can go into both numbers.

A tub is filling up at 7 gallons of water in 2 minutes. At this rate, how long will it take the tub to fill up if it can hold 63 gallons of water?

Answers

18 minutes because 63 divided by 7 is 9 and you would have to do 9 multiplied by 2 minutes to get your total minutes which is 18 minutes

Natalie can do 26 pushups in 2 minutes. How many could she do in 7 minutes?

Answers

Answer:

91 push-ups

Step-by-step explanation:

91 push ups in 7 minutes

HELP MEWhich of the following expressions is equivalent to 6p + 11 + 8p + 3?

Question 1 options:

9p + 19


14p +14


14p + 11


14 + 11p

Answers

the answer is 14 (p + 1)

Henrietta has a box of fruit with a mass of 88 dekagrams. What is the weight of the box of fruit in kilograms?
A)0.88 kilograms
B)8.8 kilograms
C)880 kilograms
D)8,800 kilograms

Answers

it’s A
Step-by-step-explanation
The answer is A)0.88 kilograms

THIRTY POINTS TO ANSWER PROPERLY! Please show work and how you did it. Please don't be mean and post some nonsense thing to get points. :(

Answers

Answer:

simplify the r and the s and also add in the exponent to create 18r3 and 2s6 over r2 s4 and simplify here ya go 30 points

Step-by-step explanation:

jdjsjicidijwbeidiwbhdjfiwinengis

Find the image of the point (2, 4) if it is move 7 steps to the left and 5 steps up.
(4, 2)
(2, 4)
(-5, 9)
(9, 5)

Answers

Answer:

(-5,9)

Step-by-step explanation:

The the answer is -5,9

A map of a park says its scale is 1 to 100.

Give an example of how this scale could tell us about measurements in the park.

Answers

Answer:

Well you can see the scale of like benches from far away and close up

Step-by-step explanation:

YA'LL I'M I NEED HELP

Answers

Answer is b all you had to was count the little lines and then find the negative then find the big number I AM NOT ENTIRELY SURE BTW

00:00

A family drives 325 miles per day during a road trip.

Part A
Select the correct symbol to complete the inequality that represents how many days, d, the family must drive to travel at least 1,300 miles.

325d 1,300

00:00

Part B
For how many days must the family drive to travel at least 1,300 miles? Enter your answer in the box.

days

Answers

Answer:

Part A = the middle one

Part B = 4 days

Step-by-step explanation:

1,300 / 4 = 325

325 x 4 = 1,300

Inequality to represent number of days is 325d ≥ 1300.

Number of days to travel at least 1300 is 4.

What is inequality?

An inequality is a mathematical expression in which both sides are not equal. Unlike equations, inequalities compare two values. Equal signs between are replaced by less than (or less than), greater than (or greater than), or not equals signs.

Given,

Family drives 325 miles per day

To travel at least 1300 miles

Let number of days be d

then

325d ≥ 1300

Dividing with 325 on both sides

d ≥ 1300/325

d ≥ 4

Hence, 325d ≥ 1300 is the inequality that represents number of days d to travel at least. 4 days is the least number of days.

Learn more about inequality here:

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What is the volume of this cone?

Use 3.14 for pi. Round your answer to the nearest hundredth. Use the formula provided.

Answers

Answer:

75.40

Step-by-step explanation:

Could the number in the pic! :D

(Brainiest would help!)

Answer:

75.40

Step-by-step explanation:

USED A CALCULATOR

HURRRY PLZZZ I. NEED SO MUCH HELP IM SO CONFUSED Melissa made some chocolate pudding. For every 3 cups of chocolate, she added 7 cups of milk. The ratio of chocolate to milk in Melissa’s chocolate pudding is ____. 3 7 over 3 3 over 7 7

Answers

3:7 is the answer for this question

Answer:

3/7

Step-by-step explanation:

Ratio is explained in word form: For every 3 cups of chocolate, she added 7 cups of milk.

It is also said as: 3:7, 3/7, and 3 to 7

Please help me i don't get these!!!!

Answers

Answer:

the first one is d

Step-by-step explanation:

Answer:

1. D) D'(-4,0)

2. B) 11

Step-by-step explanation:

2.  5x+1+12x-8=180

17x-7=180

17x=187

x=11

HELPP Me With this question

Answers

Answer:

Line CB= undefined, line CD= zero, line DA= undefined, line BA= -2/3

Step-by-step explanation:

Hope is correct i did it all in my head

Line cb is undefined

How do you divide fractions? BRAINEST IF HELPS PLEASE!!!!

Answers

Answer:

Multiple it by its reciprocal (the opposite/backwards version)

Step-by-step explanation:

BTW I like your name

Keep change flip is what I learned :D

1. Find the simple interest.
$2,700, 8.2%, 3 months
2.Find the ending balance.
$2,700, 8.2%, 3 months
3. Find the simple interest.
$725, 6.25%, 1 year
3. Find the ending balance.
$725, 6.25%, 1 year
ASAP I WILL MARK BRAINLIESTT

Answers

Answer:

The first one is 648 and the second one is 11,600

Step-by-step explanation:

5x - 29.4 + 1/2x when x is 11/5

Answers

Answer:

-17.3

Step-by-step explanation:

Evaluate 5 x + x/2 - 29.4 where x = 11/5:

5 x + x/2 - 29.4 = 5×11/5 - 29.4 + 1/2×11/5

Hint: | Express 5×11/5 as a single fraction.

5×11/5 = (5×11)/5:

(5×11)/5 - 29.4 + (11/5)/2

Hint: | Express (11/5)/2 as a single fraction.

(11/5)/2 = 11/(2×5):

(5×11)/5 - 29.4 + 11/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (5×11)/5.

(5×11)/5 = 5/5×11 = 11:

11 - 29.4 + 11/(2×5)

Hint: | Multiply 2 and 5 together.

2×5 = 10:

11 - 29.4 + 11/10

Hint: | Approximate 11/10.

11/10≈1.1:

11 - 29.4 + 1.1

Hint: | Evaluate 11 + 1.1 using long addition.

| 1 | 1. | 0

+ | | 1. | 1

| 1 | 2. | 1:

12.1 - 29.4

Hint: | Factor out a negative sign in 12.1 - 29.4 in order to subtract.

12.1 - 29.4 = -(29.4 - 12.1):

-(29.4 - 12.1)

Hint: | Subtract 12.1` from 29.4`.

| 2 | 9. | 4

- | 1 | 2. | 1

| 1 | 7. | 3:

Answer: -17.3

the answer is -17.3 hope this helps

i need help wit this

Answers

Answer:

-21.375

Step-by-step explanation:

Answer:

-21 3/8

Step-by-step explanation:

Cant you just use google calculator.

help me = crown :3 tysm

Answers

Answer:

B. 77

Step-by-step explanation:

because (72 + 97 + 82 + 77) ÷ 4 = 82

Pls Brailniest! ;) It would mean a lot.

Answer:

77

Step-by-step explanation:

If you add all the numbers you would get 251 and if you divide that by 3 you get 83.67. So what I did to get a mean of 82 was add those 3 numbers then the individual answer choice. so 72+97+82+77=328. 328/4 is equal to 82

What is the area of the trapiziod

Answers

550 i’m pretty sure......

Answer:

950 feet

Step-by-step explanation:

the area of a triangle is a=(bh) 1/2

plug in the values for a triangle into that equation, then do it to the other triangle.

add the solutions to get 150 feet

then find the area of the rectangle: 20 x 40= 800

add 800 and 150 to get the total area: 950 feet

What is the greatest common factor (GCF) of 72 and 81?
A. 12
B. 3
C. 9
D. 6

Answers

Answer:

c)9 i think

hope it will help you......please mark Brainliest .......
the answer is c which is 9
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