Answers
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values
[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔJKL
one segment MN which is intersecting sides KJ & KL
ΔJKL has one similar triangle inside, which is ΔMKN
Triangle ΔJKL and ΔMKN are similar,
So, we can say ΔJKL ≈ ΔMKN
And it is known that
for similar triangles, ratio of lengths of sides are equal for similar triangles
so, KN/MN = KL/JL
⇒ (X + 1)/12 = (3X -2)/32
⇒ 32X + 32 = 36X - 24
⇒ 32 + 24 = 36X - 32X
⇒ 56 = 14X
⇒ X = 4
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Related Questions
a copy machine can print 810 copies every 9 minutes. A laser printer printed 1,350 copies. How long did it take to print?
Answers
Answer:
15
Step-by-step explanation: You would think 15. 810 copies every 9, minutes. Nine divided by 810 equals 90. 90 copies every minute. 1,350 divided by 90 is fifteen. =fifteen.
x = 15 minutes
What is the area of rectangle CDEF?
Area= ...square units
Answers
Step-by-step explanation:
I think it's 48 square units
Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis
Answers
Answer:
y = -4.5x - 22
Step-by-step explanation:
The standard form of finding the equation of a line is expressed as y = mx+c
m is the slope
c is the y intercept
Get the slope:
m = y2-y1/x2-x1
Given the coordinates (-6,5) and (-4,-4)
m = -4-5/-4+6
m = -9/2
m = -4.5
Get the y-intercept
Substitute (-4,-4) and m = -4.5 into y = mx+c
-4 = -4.5(-4) + c
-4 = 18 + c
c = -4-18
c = -22
Get the required equation:
Recall that: y = mx+c
y = -4.5x - 22
Hence the required equation is y = -4.5x - 22
Answer:
y=1/2x-2
Step-by-step explanation:
will give brainiest for this
Answers
Answer:
lol, u can still ask the question
Step-by-step explanation:
Simplity
35x105x125
5-7 X6-5
Answers
Answer:
lemmme thinkkkkkk
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answers
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
The graph of the equation y=x2+3x+5 is a function.
Question 2 options:
True
False
Answers
Answer:
True
Step-by-step explanation:
this funcion is squared and you can draw it, so therefore it is a function.
I need help please (;´༎ຶٹ༎ຶ`)
What is an equation of the line that passes through the points (-6,-8) and
(-3,-3)? Put your answer in fully reduced form.
Answers
desperate need of help plssss help :(....please
Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.
Which statement is true?
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.
Answers
Answer:
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Step-by-step explanation:
Sorry im late homie
Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.
Transformation of a figure by dilation: If a figure with the given vertex (x, y) is dilated with a scale factor
'k', image point will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be larger than preimage.If k < 1, image will be smaller than preimage.
Rule for the dilation given in the question,
(x, y) → (0.2x, 0.2y)
Here, k = 0.2 which is less than 1.
Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.
Option (4) will be the correct option.
Learn more about the transformation here,
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what is 83x8+4-9=
POR FAVOR AYUDA
Answers
Answer:
659
Step-by-step explanation:
664 + 4 - 9 = 659
PLEASE help it's timed!! :)
Answers
Answer:
The answer is 5
shdhejrjejsn when heuejwkwudheje
i really need you guy's help. Need this in about 20 minutes max. PLEASE HELP MEEE!
Answers
because the fee is $50, if you subtract that from one hour of work you get 95 that is how much it is per hour. You multiply 95 by 6 to get how much it would cost for the hours of work and then add the $50 back on for the initial fee
Find the greatest common factor of 27 and 33.
Answers
Answer:
3
Step-by-step explanation:
26 and 33 both divisible by 3
The greatest common factor of 27 and 33 is 3.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the greatest common factor of 27 and 33.
GCF of twenty seven and seventy three.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
The factors of 27 are 1, 3, 9 and 27.
One , three , nine and twenty seven because 27 is divisible by the numbers.
The factors of 33 are 1, 3, 11 and 33.
One, three, eleven and thirty three because 33 is divisible by these numbers.
The highest common factor 27 and 33 is 3
Hence, the greatest common factor of 27 and 33 is 3.
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Describe something true about any pair of interior and exterior angles?
Answers
Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10
Answers
Answer:
M=10
N=5
Q=2
Step-by-step explanation:
if you look at the equation it says
M+M+M=30
Since there's 3 M's you can combine it and make it into 3M=30.
you could then divide 30 by 3 in order to get M by itself and you would get M=10.
Hope this helped :)
23.82600 round off to two decimal place
Answers
Answer:
23.83......the 6 is greater than 5 so the 2 turns 3
Step-by step
Is a snowflake rotational symmetry or refelctional symmetry or both or neither
Answers
Answer:
reflectional
Step-by-step explanation:
If the percent is 37.5% what's the fraction & decimal?
Answers
Answer:
as a fraction it is 3/8 and as a decimal it is 0.375
Step-by-step explanation:
.
If the mass of an object on Earth is 18kg what would the mass of the same object be on the Moon?
A. 18kg
B. 6kg
C. 108kg
D. 3kg
Answers
Answer: 18kg
Step-by-step explanation:
Mass is the amount of matter that a particular object has. First and foremost, we should note that a mass is not thesame as weight and that a mass is thesame everywhere.
In this scenario, since the mass of the object on Earth is 18kg, the mass of the same object on the Moon will slow be 18kg. The mass will not change.
Fluffy the bunny ate 1 2 of a carrot in the morning, and she ate some more at night. By the end of the day, she still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Answers
Answer:
1/6
Step-by-step explanation:
Fluffy ate 1/2 carrot in the morning
She ate some more at night
At the end of the day she still had 1/3 of the carrot left
Therefore the amount of carrot fluffy are at night can be calculated as follows
x= 1-1/3-1/2
×= 1/6
Hence fluffy ate 1/6 of the carrot at night
Need help ASAP!!
Write a conjecture that describes this pattern.
Answers
If it’s red:blue, it’s 4:8 which can simplify to 1:2.
Sam read 3/8 of a book in 3/4 of an hour. At this rate, how long will it take him to read the whole book?
Answers
Step-by-step explanation:
the answer is 1 and a half hours
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today.
Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answers
The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
i need the slope intercept for this equation
Answers
Answer:
y= 1/2x+2
Step-by-step explanation:
I hope it's right!
Answer:
the slope intercept form is y=1/2x+2
All but 1/16 of the students enrolled at a school participated in Faniky Fun Night activities. If a total of 450 students were involved, how many students attend the school ?
Answers
Equation:
(1/16)x= 405
x = 16*405 = 6480
P(2-r)-17=109 what is the answer
Answers
Answer:
126
P = -------------
2 - r
Step-by-step explanation:
Solve for P: P(2-r)-17=109
Combining the constant terms:
P(2 - r) = 126
Dividing both sides by (2 - r) isolates P:
126
P = -------------
2 - r
Help me and I give brainliest
Answers
the answer is b&d. hope that helps!
gcf of 15 and 40 Lmc of 15 and 40
Answers
Answer:
gcf: 5
lcm: 120
Step-by-step explanation:
help please!!!!!!!!!!!!!!
Answers
Explanation:
To do this you will use the hypotenuse formula.
a^2+b^2=c^2
5^2+8^2=c^2 (because those are the other lengths)
25+64=89
Then you find the square root
About 9.4
solve for x
(10x+44)(8x-23)
Answers
Answer:
802+122−102
Step-by-step explanation: