Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO

Prove: MNOL is a parallelogram.

Quadrilateral L M N O is shown. Sides M N and L O are congruent. Sides L M and O N are congruent.

Complete the paragraph proof.
We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △
. By CPCTC, ∠LMO ≅ ∠ and ∠NMO ≅ ∠LOM. Both pairs of angles are also , based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.

Answers

Answer 1

The answers to the quadrilateral are ONM, NOM, and alternate interior angles.

How to explain the quadrilateral?

Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.

Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,  

∠LMO≅∠NOM and ∠NMO≅∠LOM.

Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.

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Answer 2

Answer:    ONM

                 NOM

                alternate interior angles

Step-by-step explanation:  Complete the paragraph proof.

We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △

✔ ONM

. By CPCTC, ∠LMO ≅ ∠

✔ NOM

and ∠NMO ≅ ∠LOM. Both pairs of angles are also

✔ alternate interior angles

, based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.


Related Questions

please can someone help me with this

Answers

Answer:

Too blurry to read

Step-by-step explanation:

The values of given bases is 1559, 3139, 648 and 170.

We are given that;

The four equations

Now,

a) 66+9t9+48 (base twelve)

[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]

= 72+6+1296+120+9+48+8

= 1559 (base twelve)

b) 5117-324 (base eight)

[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]

= 3272 + 64 + 8 + 7 - (192 + 16 + 4)

= 3139 (base eight)

c) 242 x 14 (base five)

[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]

= (50 + 20 + 2) x (5 + 4)

= 72 x 9 =648 (base ten) = 10130(base five)

d) 101010111 (base two)

[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]

=128+32+8+2=170 (base ten)

Therefore, by algebra the answer will be 1559, 3139, 648 and 170.

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Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)

Answers

Answer:

C

Step-by-step explanation:

Given the tables of H(t) an r(t), we want to find:

[tex](H\circ r)(3.0)[/tex]

As stated, this is equivalent to:

[tex]=H(r(3.0))[/tex]

Using the r(t) table, we can determine that:

[tex]r(3.0)=2.0[/tex]

Therefore:

[tex]H(r(3.0))=H(2.0)[/tex]

And by using the H(t) table, we can determine that:

[tex]H(2.0)=2.5[/tex]

So, our answer is C.

10) Ms. Ruiz bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 1/4 kg left. How heavy was the bag of rice that Ms. Ruiz bought? Please show your work.

Answers

Answer:

2.85kg

Step-by-step explanation:

3/5kg = 0.6kg

2 1/4 kg = 2.25 kg

0.6kg + 2.25kg = 2.85kg

(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!

1. For the given equation, find the value of M when x=5. x + 3M = 14

2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay

Answers

M=3 bc x(5) +3M(3•3) = 14 aka 9 + 5.

Please can I have the workings too​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{3-2a}{a^2}[/tex]

Step-by-step explanation:

Before we can subtract the fractions we require them to have a common denominator.

Multiply the numerator/ denominator of [tex]\frac{2}{a}[/tex] by a , then

[tex]\frac{3}{a^2}[/tex] - [tex]\frac{2a}{a^2}[/tex] ← with common denominator a²

Add numerators leaving the denominator

= [tex]\frac{3-2a}{a^2}[/tex]

Of the 42 people who work at white side industries, 5/6 work in the manufacturing plant. How many people work in the manufacturing plant? (Please hurry and show your answer )

Answers

There should be 35 out if the 42 workers

New York has an elevation that us above dea level select all the answer choice's that could represent the elevation of New York City

Answers

Answer:

New York has elevation of 1,000 feet

Step-by-step explanation:

NewYork has elevation of almost 300 meters above sea level. This is lower elevation and the most lowest state is BigApple. NewYork is famous state of United States and the city is really busy. It has sea coasts which adds beauty to the city.

A function is represented by the graph. The y intercept of the function y=-2x+8 is what to the y intercept of the function represented in the graph

Answers

Answer:

8

Step-by-step explanation:

-1 ,3 rotated 90 degrees

Answers

It depends on which direction it’s being rotated. Is it clockwise or counterclockwise

Answer:

If rotated clockwise, then (3, -1)

If rotated counterclockwise, then (-3,1)

Step-by-step explanation:

Hope that helps!

April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?

Answers

Answer:

$40.55

Step-by-step explanation:

Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?

Answers

I think the answer is 40
i think its 20 i might be wrong

Finishe the lyrics.......ive been watching you for someone time can't stop staring at those________​

Answers

Answer:

ocean eyes i looked this up

Step-by-step explanation:

This meal costs $33.00.
A 7% sales tax is applied, followed by an automatic tip
of 18%.
What is the total with tax and tip?

Answers

Answer:

7% of $33.00 is $2.31

total $35.31

18% of $35.31 is $6.35

The total with tax and tip is $41.66

Brainly plz :))

The total cost of the meal after tax and tip will be $41.67.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

This feast costs $33.00. A 7% deals charge is applied, trailed by a programmed tip of 18%.

The cost after tax is given as,

⇒ $33 x 1.07

⇒ $35.31

The cost after the tip is given as,

⇒ $35.31 x 1.18

⇒ $41.67

The total cost of the meal after tax and tip will be $41.67.

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Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m

Answers

Answer:  the answer is going to be 64m hope this helped :)

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!

Answers

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!

Answers

I will do the first example, by explaining how to graph it. Then you can do the second example.

[tex]f(x) = x^3-10x^2+28x-24[/tex]

We start by determining the the x-intercepts, by letting y = 0:

[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]

The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:

[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]

So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :

[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]

Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :

[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]

x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:

[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]

Minimum: (14/3, -256/27)

Graph is in the attachment below -

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

20

Step-by-step explanation:

When you simply the improper fractions, you will get this

[tex]9 + 11 = 20[/tex]

Which is 20

Hope this helped

Answer: 20 or 20 1/2

Step-by-step explanation:

I don’t know really but the real answer is 20 1/18

estimate a percentage of a histogram

Answers

Answer:30 percent something like that

Step-by-step explanation:

Alfred has strawberries and tomatoes in his garden. He picked 314kg of strawberries in the morning. In the afternoon he picked 125kg more strawberries than he picked in the morning. How many kg of strawberries did he pick in the afternoon?

Answers

Answer:

439kg of strawberries in the afternoon

Step-by-step explanation:

This is simply 314+125

An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.

Answers

Answer:

27.8 degrees

Step-by-step explanation:

What is The midpoint of AB?

Answers

Answer:

(-2,0)

Step-by-step explanation:

(-2,0) is the midpoint I believe!

Hope that helps!

the mid point of AB is 1 and -1

Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.​

Answers

2.85g+3.15c= the total amount Joe spent on gas and oil

5x+4y=58

3x+8y=46

Do with substitution method
I will give the brain thing

Work would be awesome but not required

Answers

Answer:

they are both correct and also what is the question

Step-by-step explanation:

A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking

Answers

Answer:

75%

Step-by-step explanation:

Find the ratio 1500 to 2000; it is 0.75.

75% of the population is Spanish speaking.

Answer:

75%

Step-by-step explanation:

1500 ÷ 200 = 0.75

PLEASE HELP I WILL GIVE BRAINLIEST TO THE FASTEST ANSWER
Simplify. √2x (7 + √2x)

Answers

Answer:

Your answer : x1= 0

x2=-4.95

Mark my answer as brainlist.

Select the correct answer.
Steven went to play video games in Games Galore arcade. Games Galore charges $1.50
for each game played. Represent the relationship between total cost, y, and number of
games played, x using a table, graph and equation. Is this relationship a proportional or
additive relationship? Explain.
Proportional
Additive

Answers

Answer:

The answer is proportional

Step-by-step explanation:

I took the test and got 5/5

The given relationship is a proportional relation.

What is proportionality?

In mathematics, proportionality indicates that two quantities or variables are related linearly. If one quantity doubles in size, so does the other; if one of the variables diminishes to 1/10 of its former value, so does the other.

Given that, Steven went to play video games in Games Galore arcade. Games Galore charges $1.50 for each game played

Establishing the equation, we get,

y = 1.50x

Where 1.50 is the slope of the line, and, y is total cost and x is the number of game played.

When x = 2,

y = 1.50X2

y = 3

(2, 3)

When x = 4

y = 1.5X4

y = 6

(4, 6)

When x = 6

y = 1.5X6

y = 9

(6, 9)

Here we see that the value of y is varying from the value of x by 1.5 times.

Hence, The relation is a proportional relation.

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Show work. Will mark branliest​

Answers

Answer:10

Step-by-step explanation:

12 x 30 to see how many bottles per hour

360 x 8 to see how many it makes in a day

Divide 28,000 by 2,800 to see how many days it would take.

Step-by-step explanation:

first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.

Please help me with my homework problem

Answers

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

IVIIxed N
Douglas was planting grape vines. He completed 2-
rows of
grapes
each hour he worked. After completing 140 rows of grapes, how many
hours had he worked?
0000
48 hours
50 hours
52 hours
60 hours

Answers

Answer: He completes 2 4/5 rows per hour

if he completed 140 rows, how many hours did it take?

 

We should divide the work completed by the amount of work done per hour.

So, 140/(2 4/5) =  

2 4/5 is equivalent to 2.8  

so 140/2.8 = 50 hours

Step-by-step explanation:

y-13<6

Help please urgently!!

Answers

Step-by-step explanation:

y-13<6

y<6+13

y<19

hope it helps.

Answer:

y<19

Step-by-step explanation:

Add 13 to both sides.

y<6+13

Simplify  6+13  to  19.

y<19

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