Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches. Which value of x would make Line segment N O is parallel to line segment K J? 1 6 8 10
Answers
Answer: x= 8
Step-by-step explanation:
According to the converse of basic proportionality theorem,
If in ΔABC , DE is a line drawn from AB to AC such that [tex]\dfrac{AD}{DB}=\dfrac{AE}{EB}[/tex]
then, DE is parallel to the third side BC.
Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have
[tex]\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8[/tex]
Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.
Answer:
Option C- 8
Explanation:
Plug it in- Hope this helps :)
Related Questions
You want to buy some noodles. A 9 -ounce package costs $3.15. A 15-ounce package costs $5.55. A 24-ounce package costs $7.92. Which package is the best buy?
PLEASE ANSWER QUICKLY
Answers
Answer:
A 14-ounce package that costs $5.46
Step-by-step explanation:
hope it helps ;)
A robin perched in a tree 40 feet above sea level. Directly below the robin, a seagull is flying 13 feet above sea level. Directly below the birds is a clownfish, swimming 33 feet below sea level.
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete. However, I'll solve on a general terms.
Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish
The given parameters are:
[tex]Robin = +40ft[/tex]
[tex]Seagull= +13ft[/tex]
[tex]Clownfish= -33ft[/tex]
+ represents above sea level while i represents below
The distance is then calculated as:
[tex]Distance = Robin - Clownfish[/tex]
[tex]Distance = +40ft - (-33ft)[/tex]
[tex]Distance = +40ft +33ft[/tex]
[tex]Distance = 73\ ft[/tex]
HELP PLZ Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?
69% 42% 57% 83%
Answers
Answer:
D
Step-by-step explanation:
Just took the quiz
The confidence interval that would produce the widest interval when estimating the mean of a population should be 83%.
What is a confidence interval?It refers to the range of values where the sample should be watched also in this the value should be determined that correctly represent the population.
Also, the more the confidence interval the more should be the widest interval.
Therefore, the last option is correct.
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what’s the answer
r+11+ Br= 29
Answers
r= 18/1+b
B= -1 + 18/r
4. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is
leaving the intersection at a rate of 2 feet per second and bike B is leaving the
intersection at 3 feet per second. How fast is the distance, in feet per second between
them changing after 5 seconds?
Answers
Answer:
[tex]\sqrt{13}[/tex]
The rate of change of distance between two cars at the given time is required.
The required rate of change is [tex]\sqrt{13}[/tex] feet/s
Rate of changea = Distance covered in 5 s by bike A = [tex]2\times 5=10\ \text{feet}[/tex]
b = Distance covered in 5 s by bike B = [tex]3\times 5=15\ \text{feet}[/tex]
c = Distance between A and B in 5 s = [tex]\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}[/tex]
Applying Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
Differentiating with respect to time
[tex]2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}[/tex]
Learn more about rate of change:
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Please help me I don’t know this
Answers
Answer:
Quotient: 56 Remainder: 3
Jawad has seven rocks.
The total weight of all seven rocks is 5 kilograms.
6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams, of the other rock.
Answers
thats the answer
I performed a transcriptome analysis (Clariom D Array, Affymetrix) of two groups of subjects (human tissue) by using Transcriptome Analysis Console (TAC; Affymetrix) and Partek software and same cutoff (n=20; FC greater than 1.5 and P value less than 0.05). However, the overlap between differential expressed genes between both software was quite low.
someone has some comment about why this may be happening?
Evaluate.
(4/9)^2 pleaseee
Answers
Answer:
simplified: (16/81)
rewritten: (2/3)^4
Step-by-step explanation:
hope this helps! if wrong you can delete it :)
What is 9 5/32 as a decimal
Answers
Answer:
The correct answer is 9.15625
✧brainliest appreciated✧
Answer:
9.15625
Step-by-step explanation:
step 1- Convert the proper fraction to decimal: Divide the numerator by the denominator: 5 ÷ 32 = 0.15625
step 2- Add this decimal number to the whole number of the mixed fraction: 9+ 0.15625 = 9.15625
Therefore, the mixed number 9 5/32 converted to decimal number is: 9.15625
(can i get brainliest)
Each square on a grid represents one unit on each side.
Calculate the slope of graph D. Explain or show your reasoning.
Answers
Answer:
Slope = -4
Step-by-step explanation:
The slope is negative because the line is going down.
The line goes down 4 times and goes right once = 4
The required slope of the given graph would be - 4 which is a negative slope.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph is given in the question
Each square on a grid represents one unit on each side.
We have to determine the slope of the given graph D
According to the given graph, we take two points (4, 12) and (7, 0)
The slope of a line is defined as the gradient of the line.
It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Slope m = (0 - 12)/(7 -3 )
Slope m = -12/3
Slope m = -4
Thus, the required slope of the given graph would be - 4
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Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest
Answers
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters
What operations would you perform, and in what order would you perform them to solve
1 ÷ 5n = 20?
Answers
Answer:
cross multiplication
Step-by-step explanation:
1 5n
_ _
_
What is the quotient of 25.95 divided by 50.25? *
Answers
Answer:
Quotient: 2
Remainder: 0
50 = 25 × 2 + 0
Step-by-step explanation:
Answer:0.516
Step-by-step explanation:You need to divide 29.25 by 50.25.
What is the slope of the line which passes through the points (4,-5) and (3,7)?
Answers
Answer:
m = -12
Step-by-step explanation:
Formula:
m = (y2 - y1) / (x2 - x1) => plug in points
(4,-5) and (3,7)
Help, Please and thank you!
Answers
Answer:
Last one
Step-by-step explanation:
The slope intercept form is: y=mx +b
m=the slope and b is the y intercept
so it would be the last one
B
С
Move vertex D and observe how the measures change.
Make a conjecture. Which of the following statements appear to be
true? Check all that apply.
VX
AC and BD are always equal.
AE and CE are always equal.
BE and DE are always equal.
AC and BD always bisect each other.
AC and BD are always perpendicular
A
D
AE = 40 units
CE = 40 units
BE = 32 units
DE = 32 units
Check
Intro
Answers
Answer:
Step-by-step explanation:
it’s B,C,D
Help meeeee someone I will give u 5 point
Answers
Answer:
Length of the ladder = 9.5 feet
Step-by-step explanation:
Point A of ladder AC is at 9 ft from the ground and point C is 3 feet from the base of the wall,
AB = 9 feet
BC = 3 feet
By applying Pythagoras theorem in the right triangle,
AC² = AB² + BC²
AC² = 9² + 3²
AC² = 81 + 9
AC = √90
= 9.486 feet
≈ 9.5 feet
Therefore, length of the ladder is 9.5 feet.
Question 6
What does the relationship between the slopes of corresponding line segments in the prelmage and in the image imply about the line segments?
In other words, what do you know about two or more line segments that have the same slope?
Answers
Any lines graphed by a system of equations with the same slope will be parallel to each other.
Therefore, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.
What is the slope of line?
The slope of a line is its vertical change divided by its horizontal change, also known as rise over run.
When the two or more line segments that have the same slope are parallel to each other.So, the lines graphed by a system of equation is also same slope which would be parallel to each other.
Hence, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.
To know more about the slope
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The diagram below shows an angle, 0, graphed in the xy -coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT
and RM are radii of the unit circle centered at the origin R (0,0).
The x-coordinate of point M is -1/2. What is the measure of 0 to the nearest thousandth of a radian.
Answers
Answer:
Step-by-step explanation:
for this problem u need the unit circle.
In the unit circle there is a point with -1/2 as the x value that is at 240 degrees.
then you convert 240 degrees to radians --> 240 X pi/180 = 4.189
the unit circle is below, you needa remember for the test
Good luck on your EOC, i'm doing it too
Use the Zero Product Property to find the x-intercepts for y=3(x−5)(2x+3)
Answers
Answer: The X intercepts are 5 and -3/2
Simplify the fraction.
Answers
Answer:
3b/4a²
Step-by-step explanation:
3a²*4b³/16(a²b)²
12a²b³/16a⁴b²
12b/16a²
3b/4a²
Which expression is equivalent to 2( 7c - 8 )?
Answers
Answer:
14c-16
Step-by-step explanation:
Answer:
14c - 16
Step-by-step explanation:
2( 7c - 8 ) All you do is distribute:
14c - 16
Ace
Simplify the expression.
3.7 - 4.7n - 3n + 8
Answers
The number of grams of zero-calorie sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal?
It is a weak positive correlation, and it is not likely causal.
It is a weak positive correlation, and it is likely causal.
It is a strong positive correlation,and it is not likely causal.
It is a strong positive correlation, and it is likely causal.
Answers
Answer: It is a strong positive correlation,and it is not likely causal.
Step-by-step explanation: Correlation Coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.with negative values depicting a negative relationship and positive values showing positive relationship. Value of 0 implies that, no relationship exists. The closer the correlation Coefficient value is to +1 or - 1, the greater the strength of the relationship between them. Also correlation does not mean causation. Hence, a correlation coefficient of 0.74 depicts a strong positive relationship. However it doesn't imply causation.
The given correlation is strong positive correlation,and it is not likely causal.
We have given that,
The correlation coefficient relating the two variables is 0.74.
What is the correlation coefficient?Correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.
The correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.
with negative values depicting a negative relationship and positive values showing positive relationship.
The value of 0 implies that, no relationship exists.
The closer the correlation coefficient value is to +1 or - 1, the greater the strength of the relationship between them.
Also correlation does not mean causation.
Hence, a correlation coefficient of 0.74 depicts a strong positive relationship.
However it doesn't imply causation.
We have the given correlation coefficient relating the two variables is 0.74 and it is near +1
Therefore,the given correlation is strong positive correlation,and it is not likely causal.
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6. What is the smallest whole number that is a solution to 3x > 21?
A6
B. 7
C. 8
D.9
Answers
Answer:
probs c
Step-by-step explanation:
c bc 3x>21 is x>7
the smallest whole number out of the multiple choice answer that fits into the solution is 8
Answer:
C. 8
Step-by-step explanation:
To answer you must first solve the inequality, do this by dividing both sides by 3. [tex]\frac{3x}{3} > \frac{21}{3}[/tex], which simplifies to x > 7. This means that x must be greater than 7 without being 7 because the inequality does not use the "or equal to" sign. Therefore, 8 must be the correct answer because it is the smallest whole number that is larger than 7.
A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?
do step by step
Answers
Answer:
7/12 lb of sugar.
Step-by-step explanation:
first we add 1 2/3 and 2 3/4, which will give you 4 5/12 then subtract 5 lb by 4 5/12 and your answer will be 7/12
2:4:2 in simplest form ratio
Answers
Answer: 1 : 2 : 2
Step-by-step explanation:
2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.
HELP PLEASE
Consider the line y = 6x-7. Find the equation of the line that is perpendicular to this line and passes through the point (8, 3). Find the equation of the line that is parallel to this line and passes through the point (8, 3).
Answers
Answer:
y = (-x + 8)/6
Step-by-step explanation:
y =6x-7
gradient of perpendicular to the line above is -1/6.
using the point (8,3)
y - y1 = m(x - x1)
y - 3 = -1/6(x - 8)
6y-18 = -1(x - 8)
y = (-x + 26)/6
A quadrilateral has
no pairs of parallel
sides. What two
Shapes could it be?
(Not trapezium/trapezoid
kite, rhombus)
Answers
Answer:
parallelism
Step-by-step explanation:
I'm just looking also the answer!
The circle shown has a radius of 12 mm
12 mm
What is the circumference of the circle?
A. 6 mm
B. 12 mm
C. 24 mm
D. 362 mm