Proving the Converse of the Parallelogram Side Theorem
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Proving The Converse Of The Parallelogram Side TheoremGONINroce UNO Salamseat Of Argam20N3.Nad NLare

Answers

Answer 1

i hope you guys didn't have to suffer thru the rest like I did c,:

here is THE REST OF THE ANSWERS!

Step-by-step explanation:

THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....

8. angle LNO is congruent to angle NLM because of CPCTC

9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem

10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem

11. LMNO is a parallelogram because of the def. of a parallelogram

I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!

Answer 2

We will use the converse of alternate interior angles theorem  to prove LMNO is a Parallelogram.

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.  

The proof is as follows:

Statements                                                   Reasons

1) LO ≅ MN                                                        Given

2) ON ≅ LM                                                       Given

3) LN ≅ LN                                                     Reflexive property

4) Δ LON ≅ Δ NML                                       SSS congruency rule

5) ∠ NLO ≅ ∠ LNM                                         CPCTC

and ∠ MLN ≅ ∠ LNO              

6) LM ║ ON and LO ║ MN   converse of alternate interior angles theorem

7) LMNO is a Parallelogram                  Property of Parallelogram  

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Related Questions

Which of the following is the solution to the inequality below?
-6(4 - x) S-4(x + 1)
O A. x210
O B. x5 10
O C.x22
O D. x52

Answers

Answer:

x≤2

Step-by-step explanation:

-6(4 - x) ≤-4(x + 1)

Distribute

-24 +6x≤ -4x-4

Add 4x to each side

-24 +6x+4x≤-4x-4+4x

-24 +10x≤ -4

add 24 to each side

-24+10x+24≤-4+24

10x≤20

Divide by 10

10x/10 ≤20/10

x≤2

Answer:

D. x ≤ 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-6(4 - x) ≤ -4(x + 1)

Step 2: Solve for x

[Distributive Property] Distribute -6:                                                                 -24 + 6x ≤ -4(x + 1)[Distributive Property] Distribute -4:                                                                -24 + 6x ≤ -4x - 4[Addition Property of Equality] Add 4x on both sides:                                    -24 + 10x ≤ -4[Addition Property of Equality] Add 24 on both sides:                                  10x ≤ 20[Division Property of Equality] Divide 10 on both sides:                                 x ≤ 2

I need helpppppp cause I’ll make ur bra list of however u spell it

Answers

Answer:

DBH

Step-by-step explanation:

#1

Initial Price = 100% = 18

Discount = 15% = x

0.15 ( 18 ) = 0.15 * 18 = 2.7

Discount = $2.7 or $2.70

Letter = D

#2

Initial Price = 100% = 450

Markup = 20% = x

0.20 ( 450 ) = 1/5 of 450 = 90

Markup = $90

Letter = B

#3

Initial Payment = 100% = 37.60

Tip = 15% = x

0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64

Tip = $5.64

Letter = H

Your Code = DBH

If my answer is incorrect, pls correct me!

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-Chetan K

Which expression is the same as 1 ten, 3 ones, and 9 thousandths?
Choose 1 answer:

Answers

Answer:

"B"

Step-by-step explanation:

Which of the following is the equation of a line that passes though the points (2,5) and (4,3)

Answers

Answer:

y= -1x+7

or

y = -1x + b

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(2,5) and (4,3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.

Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

m=

3 - 5

4 - 2

or...

m=

-2

2

or...

m=-1

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,5). When x of the line is 2, y of the line must be 5.

(4,3). When x of the line is 4, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.

(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,5) and (4,3)

is

y=-1x+7

What is the height of the tower? Round to the nearest tenth.
How tall is the tower?

Answers

Step-by-step explanation:

call the height of the tower x

we have tan30°=x:200 so we can find x

How many kilograms equals 984.2 grams?

Answers

0.9842 kilograms equal to 984.2 grams

the difference between 8 times a number and 3 is equal to -19 what's the number

Answers

Answer:

-2

Step-by-step explanation:

x = the number

difference refers to subtraction

(8*x) - 3 = -19

8x - 3 = -19

      + 3   + 3

8x = -16

/ 8    /8

x = -2

Hope that helps!

Answer:

- 2

Step-by-step explanation:

let the number be n , then

8n - 3 = - 19 ( add 3 to both sides )

8n = - 16 ( divide both sides by 8 )

n = - 2

The number is - 2

express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]

Answers

[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]

[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]

[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]

Lily's car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily's car in kilometers per liter? km L

Answers

Answer:

The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.

Step-by-step explanation:

Lily’s car would be half a liter because the difference between kilometers and liters are far from apart

The diagonals of a rectangle are AC = 5x-4 and BD = 7x-18.
Solve for x

Answers

Answer:

x = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

a) vẽ đồ thị hàm số y=2x-3(d1)

b) tìm toạ độ giao điểm B của (d1) với (P):y=x^2

c)tìm m để đường thẳng (d2):y=(m-1)x-m-3 đi qua B

Answers

Answer:

Step-by-step explanation:

Please solve 5 and 6 only ​

Answers

Answer:

5. 80%

6.1.05 kilograms

Step-by-step explanation:

5. Plugging in the values into the formula, we get:

% difference = |60000 - 140000(60000 + 140000)/2| × 100% =

|60000-140000200000 / 2| × 100% =

|-80000100000| × 100% =

80000100000 × 100% =

0.8 × 100% =

80%

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Have a nice day!

6. 25% of 4kg 200g=1.05 kg

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = - 16t^2 + 48t where t equals the time in seconds and the h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? Help please!!!

Answers

Answer:

x = 3/2

The axis of symmetry is located at the vertex,

which is the also the highest point in this problem...

the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2

x = 3/2

Step-by-step explanation:

Select the graph that would represent the best presentation of the solution set.
|xl > 5

Answers

There isn’t a picture but I think the answer is the one in the picture I attached.

What is the image point (-5,3) if it is translated 3 units right and 2 units down

Answers

Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).

Answer:

given point is (-5,3)

right unit means positive and down unit means negative so,

image of (-5,3)---------->(-5+3-2,3+3-2)

=>(-7+3,6-2)

=>(-4,4) ANS.

3/2x-4=20
Solve for x

Answers

3/2x-4=20

We simplify the equation to the form, which is simple to understand
3/2x-4=20

We move all terms containing x to the left and all other terms to the right.
+2x=+20+4

We simplify left and right side of the equation.
+2x=+24

We divide both sides of the equation by 2 to get x.
x=12

Answer:

x=  12

Step-by-step explana

2x = 20 +  4

2x=  24

x= 2 4/2

x= 12

Answer the question in the picture

Answers

Answer:

(10^3)^2

Hope this answer is right!!

Step-by-step explanation:

(10^3)^2

(10)^3*2

(10)^5

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

22.18 = x

Step-by-step explanation:

a^2 + (b)^2 = (x/2)^2

a = sqrt(74)

b = 7

x/2 = ?

(74)[^1/2]^2 = 74            

b^2 = 7^2 = 49

74 + 49 = (x/2)^2       Substitute into a^2 + b^2 = c^2

123 = (x/2)^2              Combine like terms

(123^0.5) = x/2           Take the square root of both sides.

11.09 = x/2                  Multiply both sides by 2

11.09*2 = x

22.18 = x                     The full length of the base of the triangle is 22.18

Answer: C

Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).

Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0

A. X- 2
B. X = -3 +721 2
C. x. -3-1
D. x. -3-17​

Answers

Answer:

B and D

Step-by-step explanation:

A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))​​

Answers

Answer:

1500 because if you mutiply by 35 u will get it

Step-by-step explanation:

Answer:

ratio of required answer

7×(:)5×

also given

=)5×=150×=¹=30

5

now putting the value of × in another give

Required mum

7x+5x

12x

2(30)=360

Step-by-step explanation:

HOPE IT'S HELP

Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared?

Answers

Answer:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Step-by-step explanation:

Given

[tex]\log_5(\frac{x}{4})^2[/tex]

Required

The equivalent expression

To do this, we apply the following law of indices:

[tex]\log_a(b)^c = c\log_a(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]

To further simplify:

[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]

Open brackets

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Answer:

C.

Explanation:

Edge 2021

Which list of numbers can be described by the following rule?



A. 33,49,67


B.65,49,33

C.33,49,65

D.65,48,33

Answers

Answer: Choice C

Explanation:

first term = 33

second term = first term + 16 = 33+16 = 49

third term = second term + 16 = 49+16 = 65

We're adding 16 to each term to get the next term.

Answer:

c is correct

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PLEASE HELP IMAGE IS BELOW!!

Answers

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15








Which of the following describes point H?

Answers

X axis ; 3
Y axis ; -3

Your answer ; 3, -3

Solve the system by substitution.
y = -5x
y= -7x – 14

Answers

Answer:

x = -7       y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?

Answers

Answer:

35 mm.

Step-by-step explanation:

That would be (26 + 44)/2

= 70/2

= 35 mm.

Math help due soon thanks

Answers

Answers:

SkippingSee the diagram belowx = 7No they are not similar

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

Explanation:

SkippingWe peel the triangles apart as shown below. There's not much to say about it. The only thing I can think is that the larger horizontal side is 8+6 = 14 m.Due to the similar triangles, we can form the proportion x/4 = 14/8. The 14 is from 8+6. Cross multiplying leads to 8x = 56 which solves to x = 7.Focus on the triangle on the left. The missing angle is 180-95-35 = 50 degrees. The missing angle for the triangle on the right is 180-35-60 = 85 degrees. The angles don't all match up, so the triangles aren't similar.

If x^151+ 100 is divided by x+1 then the remainder is​

Answers

Answer: 11 because it all works out.

You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*

1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.

Answers

2 add them all together and divide by 6 and you get 4.007

The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.

We know that, average = Sum of all the observations/Number of observations

Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6

= 24.042/6

= 4.007 ounces

Therefore, option 2 is the correct answer.

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What is the slope of the line graph above?

Answers

This slope is 1/2. It goes up 1 on the y axis and over 2 on the x axis
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