If triangle JKL~ Triangle MKN, find the value of x
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
To know more about properties of triangles check:
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Graph the line with the equation y = -5x + 2.
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
Find the width of the Brady river.
Answer:I think its 5miles
Step-by-step explanation:
hope this helps!
What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
ASAP help me with this question
the equation of the line is y = 3x - 5
Answer:
WOOF WOOF
Step-by-step explanation:
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x=12, y=[tex]6\sqrt{2}[/tex]
This triangle is a special right triangle, a 45-45-90 triangle. In this format, the the hypotenuse will be [tex]x\sqrt{2}[/tex], while the side lengths would be x. With this in mind we can already figure out y is [tex]6\sqrt{2}[/tex]. The hypotenuse would be [tex](6\sqrt{2} )(\sqrt{2} )=12[/tex]
What’s the domain and range of a horizontal line?
What’s the domain and range of a vertical line?
The horizontal line has infinite domains but a range that has only one value.
The vertical line has a domain is the -intercept, and its range is "all real numbers."
Given that,
The horizontal and vertical lines.
Since we know that,
Linear functions always have infinite domains and ranges.
The exception is when the graph is a horizontal line.
This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.
And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;
Hence its domain is the -intercept, and its range is "all real numbers."
To learn more about the function visit:
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how many times can 42 go into 278?
Answer:
6.61 or 6 times
Step-by-step explanation:
278/42 = 6.61
42 goes into 278 6.61 times.
If you are estimating, 6 is correct.
If you are finding the exact answer, 6.61 is correct.
I hope this helps with your question.
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Answer:
look at graph
Solve the proportion:
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
cross multiply
9*10=90
90/6=15
Which equation represents a linear function?
equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1
a. equation 1
b. equation 2
c. equation 3
d. equation 4
I need an answer by today ASAP! please!
Answer:
Equation 2
Step-by-step explanation:
Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.
cual es el nombre de la cantidad que no es constante
Answer:
what is the name of the amount that is not constant
Step-by-step explanation:
Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?
Answer:
im pretty sure its option 3
Step-by-step explanation:
its unique
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.
The shoes were $175. They are now 10% off. How much are they now?
Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.
Hope this helps!
PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!
dark blue is the answer
Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?
divide 9.75 by 15 equals sixty ixty five cent's
Help is...appreciated.
Answer:
53%
Step-by-step explanation:
what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10
Answer:
2 ( 3m -10) (3m+10)
Step-by-step explanation:
18m^2-200
Factor out 2
2 ( 9m^2 -100)
We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)
2 ( ( 3m)^2 - 10^2)
2 ( 3m -10) (3m+10)
Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4
Answer:
1
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
simplify 6 + 15 x 72=
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
Write the equation of the line in slope-intercept form and general form.
(4, 2) (-3,9)
Answer:
y = -7x + 30
Step-by-step explanation:
i need help !! asap please !!!
A turtle walks of a mile in 40 minutes. What is the unit rate when the turtles speed is expressed in miles per hour (60 minutes)? (needs to be a denominator)
Answer:
1.5 miles per hour.
Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.
What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12 14 16 18 20 O 19 20 о O 11 20 O 20 19 20
Answer: -11/20
Step-by-step explanation:
1/5-3/4= 4/20-15/20= -11/20
Answer:
The answer is -11/20 aka b
Step-by-step explanation:
Eric had $15.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?
13
14
15
16
Answer:
13
Step-by-step explanation:
so you take $15 ÷ $1.14 = 13.15789. so you round it to 13
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uh
Answer:
Step-by-step explanation:
-n+1
Step-by-step explanation:
(n+2)-(2n+1)
=n+2-2n-1
=n-2n+2-1
=-n+1
A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x
Answer:
Option (4)
Step-by-step explanation:
Area of a rectangle = Length × width
If the dimensions of the given rectangle is doubled,
Area of the new rectangle = 2(Length) × 2(width)
= 4(Length × width)
= 4(x)(x - 2)
= 4[x² - 2x]
= 4x² - 8x
Therefore, Option (4) will be the correct option.