Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)
Answers
Answer:
\(-\frac{16}{17}\\-0.94117\)
Step-by-step explanation:
\(\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3\)
\(\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}\)
\(\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117\)
Related Questions
For the in parts A through E, choose the highest level of measurement (or cannot be determine).
A. Temperature of refrigerators ---
Nominal
Ratio
Cannot determine
Interval
Ordinal
B. Horsepower of race car engines ---
Ordinal
Interval
Nominal
Cannot determine
Ratio
C. Marital status of school board members ---
Interval
Nominal
Ordinal
Cannot determine
Ratio
D. Ratings of televisions programs (poor, fair, good, excellent) ---
Ordinal
nominal
Interval
Cannot determine
Ratio
E. Ages of children enrolled in a daycare
Ordinal
nominal
Interval
Cannot determine
Ratio
Answers
Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval
The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.
The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.
The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.
The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.
The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.
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It’s MrBeast what’s 600+1 I’ll make brainliest.
Answers
Answer:
601
Step-by-step explanation:
Hmm... That question took me years to solve.
Answer:
600+1=6001
Step-by-step explanation:
because it just is ;)
A doctor advises a patient not to consume more than 8.5 × 10−2 kg of sugar per day. Coca cola
contains 110 g/L sugar. How many 12 oz cans of Coca cola can the patient consume? Show your work.
Answers
The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.
To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.
Provided:
Sugar limit: 8.5 × 10^(-2) kg
Coca Cola sugar content: 110 g/L
Volume of a 12 oz can: 12 oz (which is approximately 355 mL)
First, let's convert the sugar limit from kilograms to grams:
Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g
Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:
Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L
Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g
Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:
Number of cans = Sugar limit / Amount of sugar in a can
Number of cans = 85 g / 39.05 g ≈ 2.18
Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.
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Please help meee I need this done ASAP
Answers
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ
\(6^{\frac{1}{2} } +6^{\frac{3}{2} }\)
Which of the following is equal to the value above?
\(\sqrt{222}\)
\(7\sqrt{6}\)
\(6^{\frac{3}{4} }\)
Answers
Answer:
\(7\sqrt6\)
Step-by-step explanation:
The original expression is \(6^{\frac{1}{2}} + 6^{\frac{3}{2}}\)
The last one is a trick answer: \(6^{\frac{1}{2}} 6^{\frac{3}{2} }= 6^{\frac{3}{4}}\) i.e. the exponents are added when the two are multiplied and the base of the exponent is the same(in this case 6)
\(6^{\frac{1}{2} }= \sqrt{6} \\6^{\frac{3}{2} } = (6^{\frac{1}{2} })^3 = (\sqrt{6} )^3\\\)
So \(6^{\frac{1}{2}} + 6^{\frac{3}{2}} = \sqrt{6} + (\sqrt{6} )^3\)
Factoring out \(\sqrt{6}\) in the above equation gives \(\sqrt{6} [1 + (\sqrt{6})^2]\\\\\)
But \((\sqrt{6} )^2 = 6\) square of a square root of a number is the number
So the expression becomes \(\sqrt{6} (1 + 6) = 7\sqrt6\)
Suppose that nacho takes a multiple choice test. The test has 4 questions. Each questions has 3 choices. What is the probability that nacho will get all 4 questions wrong?
Answers
Answer:
8/12 ;; 66%
Step-by-step explanation:
If you have 4 questions, with each having 3 answers, then you have 12 options (the denominator). If one is correct for each answer, then the correct is 4/12. Then you have to find the remaining part to see what is wrong.
Please Help ASAP giving 50 points and brainliest
Answers
Answer:
- Point of intersection = (4, 360)
- The meaning of the intersection (4,360) means that when 4 hours of repair has passed for either service, the price of each service will be the same ($360).
- If it takes 3 hours to fix your car: Amy's Auto Repair will be the cheapest of the two services.
Step-by-step explanation:
Set both functions equal to each other:
100+65x = 40+80x
Subtract from both sides:
65x-80x = -15x
40-100 = -60
Set the two new numbers equal to each other:
-15x = -60
Solve this equation:
-60 / -15 = 4
This means the answer to the x intercept is 4.
...Now we need to find the y intercept...
To figure this out, you need to substitute the x-intercept (4) in for any x in the equation:
100+65(4) = 40+80(4)... simplify... 100+260 = 40+320
Now solve this:
100+260 = 360 --- and --- 40+320 = 360...
360 = 360...this means the y-intercept is 360.
So, the answer to question 1 is (4,360)
Why Amy's Auto Repair shop will be cheaper than Mike's Repair Shop after 3 hours of service:
3 hours of Mike's service: 100+65(3) = $295
VS
3 hours of Amy's service: 40+80(3) = $280 - CHEAPER
I hope this helps :)
Emma spent $17.98 on 2 dozen bagels. which equation models the situation with d, the price in dollars, of one dozen bagels? a. 17.98d = 2 b. 17.98 + d = 2 c. 2d = 17.98 d. 2 + d = 17.98
Answers
The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.
Emma spent $17.98 on 2 dozen bagels. The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.What are dozen bagels?A dozen bagels are 12 bagels. If Emma bought 2 dozen bagels, it means she bought 24 bagels. If you want to know the cost of one bagel, you can divide the total cost by the number of bagels she bought. So the cost of one bagel can be given by the equation;`Total cost of bagels / number of bagels bought = cost per bagel`Let us now use the given options to see which one of them represents the above equation.A. 17.98d = 2Here, we have the total cost multiplied by the cost per bagel which doesn't make sense.B. 17.98 + d = 2We can see that this equation does not have any terms to represent the number of bagels bought, it only has the total cost and the cost per dozen bagels.D. 2 + d = 17.98We can see that this equation does not have any terms to represent the total cost or the number of bagels bought. Hence it cannot represent the given situation.C. 2d = 17.98Here, we have the number of bagels multiplied by the cost per bagel to give us the total cost, which is what we need. Therefore the equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.
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Please help! I will give brainliest.
Answers
Answer:
Therefore, the measure of ∠x is 33 degrees.
Step-by-step explanation:
As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:
∠R + ∠x = 90 degrees
Substituting the given values, we get:
57 + ∠x = 90
∠x = 90 - 57
∠x = 33 degrees
Answer: x = 32°
Step-by-step explanation: triangle of ABC = 58°, 90° & x°
x = 180°-148° = 32°
(x° is equal to the unknown° where C is, as well as 58° where A is)
What is the algebraic solution to the function 2x+3=83
Answers
80 divided by 2 is 40
the answer is 40
Answer:
x = 40
Step-by-step explanation:
Solve for x
2x + 3 = 83 Subtract 3 from both sides
2x = 80 Divide 2 on both sides
x = 40
The algebraic solution to the function is x = 40
Condense to a single logarithm : log 12 18+3 log 12 2
Answers
Answer:
2 or \( \log_{12} 144 \)
Step-by-step explanation:
I assume 12 is the base.
\( \log_{12} 18 + 3 \log_{12} 2 = \)
\( = \log_{12} 18 + \log_{12} 2^3 \)
\( = \log_{12} (18 \times 8) \)
\( = \log_{12} 144 \)
\( = \log_{12} 12^2 \)
\( = 2\log_{12} 12 \)
\( = 2 \)
The entire expression simplifies to 2, but if you need the simplest log expression, then you can use
\( \log_{12} 144 \)
What is the circumference of the following circle?
ea
3 cm
a
t
D
cm
Show Calculator
Answers
your question is incomplete dear check it once
At a sports store, three times as many football as volleyballs were sold a total of 3,252 football were sold how many volleyball were sold write an equation then solve 
Answers
Answer:
1,084 volleyballs were sold.
equation: 3252 ÷ 3 = 1,084
Step-by-step explanation:
the answer is 1,084 because it says that three times as many footballs as volleyballs were sold and there was a total of 3,252 footballs sold meaning you would have to divide to figure out how many volleyballs there were and since there were three times as many footballs as volleyballs it means that you have to divide by 3. hope this helped!
Kenya is conducting a probability experiment with one number cube with numbers 1 through 6 on each face. She rolls the number cube, records the number on the side that is face up, and repeats the process.
If Kenya rolls the number cube 90 times, what is a reasonable prediction for the number of times that a 1 or a 6 will land face up?
Answers
Answer:
The number cube has 6 equally likely outcomes, so the probability of rolling a 1 or a 6 on any given roll is 2/6 = 1/3.
If Kenya rolls the number cube 90 times, we can use the expected value formula to find the expected number of times that a 1 or a 6 will land face up:
Expected number of 1's or 6's = (number of rolls) x (probability of rolling a 1 or a 6)
Expected number of 1's or 6's = 90 x (1/3)
Expected number of 1's or 6's = 30
Therefore, a reasonable prediction for the number of times that a 1 or a 6 will land face up is 30.
please see attachment below
Answers
Answer:
option c) tan\(\theta\)=8/15
Answer:
C) tan0 = 8/15
Step-by-step explanation:
Sin0 = opposite / hypotenuse
tan0 = opposite /hypotenuse
when we run a oneway analysis of variance, we are partitioning the ______________ into two meaningful parts.
Answers
We are partitioning the total variance into two meaningful parts.
What is the variance?
In probability theory and statistics, variance is defined as a random variable's squared deviation from its mean. The variance is frequently expressed as the square of the standard deviation. Variance is a measure of dispersion, which means it measures how far apart a set of numbers is from their average value.
Here,
We have two potential sources of variance in our data in a one-way ANOVA: among-groups and within-groups.
The variation among our groups is known as the explained variation because the element that accounts for it is rock type. We also have variation inside our groups, that is, variation among the replicates within each group, which is known as unexplained variation because it cannot be attributed to a component.
ANOVA divides the variability among all values into two components: one due to variability among group means (due to treatment) and the other due to variability within groups (also known as residual variation).
Hence, we are partitioning the total variance into two meaningful parts.
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you have been working on an item for a while and after a few missteps you've come up with an answer. however, there is one particular thing that you're not 100 %% sure of. what should you do? select all that apply.
Answers
We solved a problem after several missteps. One thing we are not certain of. We should:
"Check for any hints that address the part of the calculation you're unsure about." (A)"Return to the question after you've spoken with an instructor or classmate." (B)"Submit your answer and then adjust it according to any feedback you receive." (C)When we are unsure about a part of a calculation, it is a good idea to check for hints that address that part of the calculation. This can help us confirm or correct your understanding of the problem. In addition, speaking with an instructor or classmate can provide valuable insight and help clarify any confusion.
Finally, if we still feel unsure, submitting our answer and then adjusting it based on feedback can help us improve our understanding and knowledge of the material. All of these options can help ensure that we have the most accurate and complete understanding of the problem.
This question should be provided with answer choices, which are:
A. Check for any hints that address the part of the calculation you're unsure about.B. Return to the question after you've spoken with an instructor or classmate.C. Submit your answer and then adjust it according to any feedback you receive.D. None of the above.Learn more about problem solving process here: brainly.com/question/10708306
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Two cars were at a gas station, a red car and a blue car. The red car filled up with 12 gallons of gas and was able to travel. The blue car filled up with 15 gallons of gas and was able to travel 330 miles. What was the gas mileage of each car? Which car got better gas mileage?
Answers
Answer:
Red Car Gas mileage:
= Distance travelled/ Gas used
= 300/12
= 25 mpg
Blue Car gas mileage:
= 330/15
= 22 mpg
The car with the better mileage is the one that goes further per gallon of gas which is the Red Car.
Problem 18. Show that for any g € L(V, C) and u € V with g(u) 0: V = null g {Xu: A € C}. [10 marks]
Answers
The statement to prove is that for any linear transformation g ∈ L(V, C) and vector u ∈ V such that g(u) ≠ 0, the set V is equal to null g, denoted as {Xu: X ∈ C}. We need to show that every vector in V can be written as Xu for some X ∈ C. Combining these two observations, we can conclude that V = null g, satisfying the statement to be proven.
To prove that V = null g, we need to show that every vector in V can be expressed as Xu for some X ∈ C and that any vector in null g can be written in the form Xu.
First, let's consider a vector v ∈ V. Since g is a linear transformation from V to C, there exists a scalar X ∈ C such that g(u) = X. Therefore, we can write v = Xu, where X = g(u). This shows that every vector in V can be expressed as Xu for some X ∈ C.
Next, let's consider a vector w ∈ null g. By definition, null g is the set of all vectors in V that are mapped to zero by g. Since g(u) ≠ 0, the vector u is not in null g. Therefore, any vector in null g cannot be expressed as Xu for any X ∈ C.
Combining these two observations, we can conclude that V = null g, satisfying the statement to be proven.
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Is any real number exactly 2 more than its cube? give any such values accurate to three decimal places
Answers
The number 1.368 is approximately 2 more than its cube.
To find a real number that is exactly 2 more than its cube, we can set up the equation:
x = x^3 + 2
Rearranging the equation, we have:
x^3 - x + 2 = 0
To find the solution to this equation, we can use numerical methods such as Newton's method or trial and error. Applying trial and error, we can find one such value accurate to three decimal places:
x ≈ 1.368
If we substitute this value into the equation x = x^3 + 2, we get:
1.368 ≈ (1.368)^3 + 2
1.368 ≈ 2.001
The number 1.368 is approximately 2 more than its cube.
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if the cutout length increases from 0.8 to 3.4 inches, how much does the volume of the box change by?
Answers
To calculate the change in volume of the box when the cutout length increases from 0.8 to 3.4 inches, we need to consider the dimensions and geometry of the box.
Let's consider an example where the box is a rectangular prism, and we'll calculate the change in volume when the cutout length increases from 0.8 to 3.4 inches.
Assuming the box has dimensions:
Length: 10 inches
Width: 6 inches
Height: 4 inches
To calculate the initial volume of the box with a cutout length of 0.8 inches, we need to subtract the volume of the cutout from the total volume of the box.
Initial volume = Length * Width * Height - Cutout volume
Initial volume = 10 inches * 6 inches * 4 inches - (0.8 inches * 6 inches * 4 inches)
Initial volume = 240 cubic inches - 19.2 cubic inches
Initial volume = 220.8 cubic inches
Now, let's calculate the new volume when the cutout length increases to 3.4 inches.
New volume = Length * Width * Height - Cutout volume
New volume = 10 inches * 6 inches * 4 inches - (3.4 inches * 6 inches * 4 inches)
New volume = 240 cubic inches - 81.6 cubic inches
New volume = 158.4 cubic inches
To find the change in volume, we subtract the initial volume from the new volume:
Change in volume = New volume - Initial volume
Change in volume = 158.4 cubic inches - 220.8 cubic inches
Change in volume = -62.4 cubic inches
Therefore, in this example, the volume of the box decreases by 62.4 cubic inches when the cutout length increases from 0.8 to 3.4 inches.
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The value of 8y 2 –5y +1 when y= 1 is …………
Answers
Answer:
4
Step-by-step explanation:
8(1)^2 -5(1) +1
8(1) -5(1) +1
8 -5 +1
4
What’s the solution to 2x-2y=6 and 4x+4y=28
Answers
Answer
x=5 y=2
Step-by-step explanation:
find the missing length
Answers
Answer:
sqrt of 157 (this answer is not simplified)
Step-by-step explanation:
6^2 + 11^2
36+121 = 157
sqrt157=c
Answer:
a^2 + b^2 = c^2
6^2 + 11^2 =c^2
36 + 121 =c^2
c^2 = 157
c = √157
Find the domain of the vector functions, r(t), listed below.
You may use "-INF" for ?? and use "INF" for ? as necessary, and use "U" for a union symbol if a union of intervals is needed.
a) r(t)=?ln(6t),?t+16,1/?10?t?
b) r(t)=??t?9,sin(6t),t^2?
c) r(t)=? e^?9t,t/?t^2?36,t^1/3?
Answers
The domain of r(t) is (-INF, INF). a) The domain of r(t) = [ln(6t), -t + 16, 1/(10t)] is t > 0. a) The domain of the vector function r(t) = [ln(6t), -t + 16, 1/(10t)] can be determined by considering the individual components.
The natural logarithm, ln(6t), is defined only for positive values of 6t, so we need 6t > 0. This implies that t > 0.
The second component, -t + 16, is defined for all real values of t.
The third component, 1/(10t), is defined as long as 10t ≠ 0, which means t ≠ 0.
Putting these conditions together, we find that the domain of r(t) is t > 0.
b) The vector function r(t) = [t - 9, sin(6t), t^2] does not have any explicit restrictions on its domain.
The first component, t - 9, is defined for all real values of t.
The second component, sin(6t), is also defined for all real values of t.
The third component, t^2, is defined for all real values of t.
Therefore, the domain of r(t) is (-INF, INF). a) The domain of r(t) = [ln(6t), -t + 16, 1/(10t)] is t > 0.
b) The domain of r(t) = [t - 9, sin(6t), t^2] is (-INF, INF).
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The domains of the vector functions r(t) are respectively: for the first one t > 0, for the second one t >= 9 and for the third one it is a union of intervals, t < -6 U t > 6.
Explanation:The domain of a vector function r(t) is defined as the set of all t-values for which the function is defined.
r(t) = ln(6t), t+16, 1/10t: The domain for this function is all values for which the natural logarithm ln(6t) is defined, which means the inside of the logarithm must be greater than zero. As a result, the domain is t > 0.r(t) = root(t-9), sin(6t), t^2: The domain is all real values of t for both the second and third functions. For the first function, to be defined, the inside of the square root, t-9, must be greater than or equal to zero. As a result, the domain is t >= 9.r(t) = e^(-9t), t/root(t^2-36), t^1/3: Again, the third function has domain for all real values. The exponential function is also defined for all real numbers. However, the second function t/root(t^2-36) is undefined where root(t^2-36) = 0, which makes the domain to be a union of intervals, t < -6 U t > 6.Learn more about Vector Functions here:https://brainly.com/question/31672931
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WILL GIVE BRAINLIEST!
Use the roster method to write the set.
The positive integers less than 7
Answers
Step-by-step explanation:
your answer in roster method is
(1,2,3,4,5 and 6)
please help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?
Answers
Answer:
The sales tax is 3%
Step-by-step explanation:
1. what do you do as a surveyor if one of the measurements taken is drastically different from your other measurements?
Answers
If one of the measurements taken by a surveyor is drastically different from the other measurements, the surveyor should investigate the cause of the discrepancy and determine whether the measurement is accurate or not.
Some possible reasons for a measurement to be drastically different could be errors in equipment, human error, environmental factors, or other sources of interference.
To verify the accuracy of the measurement, the surveyor may take additional measurements and compare them to the initial measurement, or they may use alternative methods to obtain the same measurement. If the measurement is found to be inaccurate, the surveyor may need to recalibrate or replace the equipment, or take steps to eliminate or minimize the sources of interference.
It is important for the surveyor to ensure the accuracy of their measurements to ensure the reliability of their data and the validity of their conclusions.
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Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answers
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Write a Proof statement,
Answers
Answer:
Step-by-step explanation:
Given:
MO bisects ∠KMN and LO bisects ∠KLN
To prove:
LK ≅ LN
Statements Reasons
1). MO bisects ∠KMN 1). Given
2). LO bisects ∠KLN 2). Given
3). ∠KLM ≅ ∠NLM 3). Definition of angle bisector
4). ∠KMO ≅∠NMO 4). Definition of angle bisector
5). ∠KMO + ∠KML = 180° 5). Linear pair postulate
6). ∠NMO + ∠NML = 180° 6). Linear pair postulate
7). ∠KMO + ∠KML = ∠NMO + ∠NML 7). Transitive property of equality
8). ∠KMO + ∠KML = ∠KMO + ∠NML 8). Substitution property
9). ∠KML = ∠NML 9). Subtraction property of equaity
10). LM ≅ LM 10). Reflexive property
11). ΔLKM ≅ ΔLNM 11). ASA property of congruence
12). LK ≅ LN 12). CPCTC