100 points
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.ty

Given: m∠LOM = m∠JKI;

m∠MON = m∠IKH

Prove: m∠LON = m∠HKJ

100 PointsFill In The Missing Statements And Reasons In This Proof. Number Your Reasons 1 Through 5 As

Answers

Answer 1

#1

m<LOM=m<JKL

Similar corresponding bisector angles

#2

Linear pair .

#3.

Complementary angles

#4

Angle bisector theorem

#5

Similarity theorem

Answer 2

As per the given condition m ∠LOM = m ∠JKI, m ∠MON = m ∠IKH it is proved that m ∠LON = m ∠HKJ as they are congruent angles.

What are congruent angles?

"Congruent angles is defined as the angles with equal measure."

According to the question,

In the given figure of the angles,

m ∠LOM = m ∠JKI  (given congruent angles)                     _____(1)

m ∠MON = m ∠IKH  (given congruent angles)                  _______(2)

Add both the side angle  m ∠MON in (1) we get ,

m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Replace angle  m ∠MON = m ∠IKH from (2)  on right hand side we get,

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH      ____(3)

m ∠LOM + m ∠MON = m ∠LON  ( M is the interior point of ∠LON)    ___(4)

m ∠JKI + m ∠IKH = m ∠HKJ  ( I is the interior point of ∠HKJ)            ___(5)

Form (3) , (4) and (5) we get,

m ∠LON = m ∠HKJ  (Congruent angles)

Hence, form the given condition it is proved that m ∠LON = m ∠HKJ , are congruent angles.

Learn more about congruent angles here

https://brainly.com/question/24887947

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Related Questions

to write
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the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
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5. Three-quarters of a
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Step-by-step explanation:

1. x²

2. x³

3. x²+5

4. (3x)^2

5. 3/4x

A car traveled at an average speed of 80 miles per hour for 3 hours and it consumed fuel at the rate of 34 miles per gallon. Approxamitly how many gallons of fuel did the car use for the entire 3 hour trip?

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the car used approximately 7 gallons of fuel

Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.

$14,600
$11,700
$12,800
$9,500

Answers

The answer would be C) $12,800.
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Solve for x. Help Help Help Help Help, I tried dividing 17/2 which gave me 8.5 but it’s wrong

Answers

Answer:

x = 15.9

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 17^2

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A home improvement store is analyzing the pricing of a line of lawnmowers. These are the cost and revenue
functions for a month of business, where x represents the selling price of a lawnmower:
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Answers

Answer:

135

285

300

Step-by-step explanation:

Please help me with this

Answers

Answer:

=  

2 1/ 18

Step-by-step explanation:

2 1/2 plus  5/9 Calculation steps: (0 + 1) +(5/9 + 1/2)  

Given f (x) = 3x+1 and g(x) = x-1, evaluate f(-2)

And please explain how you got that as the answer.

I will give Brainliest to the first person too :)

Answers

Answer:

f(-2) =  -5

Step-by-step explanation:

Actually, the function g(x) is irrelevant here.  We need only evaluate the function f(x) = 3x + 1 at x = -2:

f(-2) = 3(-2) + 1 = -6 + 1 = -5

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The blue dot is at what value on the number line?
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Answers

Answer:

-22

Step-by-step explanation:

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Find the missing amount)
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New:________
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Answers

Answer:

58HII IS YOUR ANSWER .......

Answer:

105 ounces

Step-by-step explanation:

Original = 70

New = x

Percent Increase = 50%

New = 70 + (50% * 70)

New = 70 + 35 = 105

-Chetan K

GIVING BRAINLIEST! (YOU MUST ANSWER CORRECTLY)

Answers

Answer:

100

Step-by-step explanation:

did you do tangent?

if so

you know that:

you needed to use a scientific calculator and use the TAN button

formula:

Tan 60=100/x

if not

you could measure but it might not have been exact and you should just use the calculator

Can you help me please someone

Answers

Answer:

< HZG = 142 degrees

Step-by-step explanation:

180-38 = 142

<HZJ + <HZG = 180 degrees degrees (linear pair angles)

Twenty students are standing in line to buy food at a football game. The first three students
spend a total of $24. on food.
a. How much do the first three students spend on food per person? [1 point)

Answers

Answer:

$8

Step-by-step explanation:

If the first 3 students spend $24 on food total, and they split the bill equally, each of the 3 paid $8. We know this because 24 ÷ 3 = 8.

Four times a​ number, subtracted from four​, is twice the number. Find the number.

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

let the number be n , then

4 - 4n = 2n ( add 4n to both sides )

4 = 6n ( divide both sides by 6 )

[tex]\frac{4}{6}[/tex] = n

The number is [tex]\frac{2}{3}[/tex]

Answer:

Let the number = x

4 - 4x= 2x

4 = 2x+4x

4 = 6x

x = 4/6

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Step by Step explanation:

If you like my answer than please mark me brainliest thanks

Calculate the measure of the missing angle of the
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Answers

Step-by-step explanation:

The angles of rectangle add up to 360°

So the missing angle + 65 + 110 + 87 = 360

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Step-by-step explanation:

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Answer:

11y=-22

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Step-by-step explanation:

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represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answers

Answer:

[tex]y = \frac{4}{5} x - \frac{22}{5} [/tex]

Step-by-step explanation:

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A garage sells cars.
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Answers

Answer:

6,500

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What's the slope of (6, 5) and (3, 7.5) ?​

Answers

Answer:

The slope of (6, 5) and (3, 7.5) is 5/-6.

As a decimal: (-0.83333333333...)

Step-by-step explanation:

Formula for slope:

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

('m' means slope.)

[tex](x^1,y^1) =[/tex] coordinates of the first coordinate point

[tex](x^2,y^2)=[/tex] coordinates of the second coordinate point.

--------------------------

Coordinates:

[tex](6,5)(3,7.5)[/tex]

-------------------------

Now, I will simply plug the numbers into the formula.

[tex]m=\frac{7.5-5}{3-6} =\frac{2.5}{-3} =5/-6[/tex]

As a decimal: (-0.83333333333...)

The slope of the given points is 0.833

Slope, m, is given by the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

From the question

[tex]x_{1} = 6[/tex]

[tex]y_{1} = 5[/tex]

[tex]x_{2}=3[/tex]

[tex]y_{2}=7.5[/tex]

Putting the above parameters into the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

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Answer:

x=55*

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Step-by-step explanation:

In parallel lines, opposite angles are equal to each other so x=55.

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Answers

Answer:

A- .325   B- Terminating

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

From your knowledge of multiplication tables, you know ...

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fully, giving your answer in the form
a

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Answers

Answer:

[tex] \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

Hi Please I REALLY really REALLY need help with this question 20 POINTS
when f(x) is divided by x+4 the quotient is x^3+4x^2+3x+1+5/x+4
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Answers

i think you just put -4 into the x's and solve

Help pls. Three sodas cost$4.50 at a convenience store. How many would it cost to buy 10 sodas at the same price.

Answers

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45 $

Step-by-step explanation:

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Somebody help me please

Answers

-10, -8, 0 and 2

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Answers

Answer:

Can u give me a picture more clear

What the answer to (2x - 7) + 5(x -3)

Answers

the answer to (2x-7) + 5(x-3) is 7x - 22
Correct Answer: 7x - 22

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Answers

Answer:

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"•"means it's included

° means it's not.

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Answer:

4 bags, or 4 1/4 bags

Step-by-step explanation:

change 3 1/2 into a improper fraction, then change it to have a common denominator as 3/4. the expression would then be (14/4 + 3/4) divided by 1/2. 17/4 divided by 1/2 is 4 1/4. it would depend if they meant to fill the whole bag.

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The answer would be 2958.52
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