Find the measure of the numbered angle.

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

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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divide 9.75 by 15 equals sixty ixty five cent's

Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

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

Answer:

1

Step-by-step explanation:

Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1

Answer:

[tex]y=-\frac{4}{3}x+20[/tex]

Step-by-step explanation:

stupid enough

y=mx+b

[tex]\frac{y1-y2}{x1-x2}[/tex]

slope = 16-12/3-6

-4/3

[tex]y=-\frac{4}{3}x+b[/tex]

plug in x and y

16=-4/3(3)+b

b=20

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

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 )

Answer:

True

Step-by-step explanation: because they have 4 sides

All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.

Hence the given statement is true.

Sincw we know that,

A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.

The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.

It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.

Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.

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Answer:

50/50 chance

Step-by-step explanation:

Simple

Answer:

50% chance likely

Step-by-step explanation:

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

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.

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

Answer:

$20,886

Step-by-step explanation:

17,700/100=3186

3186+17,700=20,886

Answer:

8x - 1

Step-by-step explanation:

Combine like terms. 3x and 5x are like terms.

3x + 5x -1 = 8x - 1

Answer:

the answer to x is 4

Step-by-step explanation:

.

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."

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Answer: A is the correct answer

Step-by-step explanation:

Answer:

angle x is the biggest so A

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.

Answer:

The answer is 18

Step-by-step explanation:

5+9(1)+2^2

=5+9+4

=18

Answer:

18

Step-by-step explanation:

9*1=9

2^2=4

9+4+5=18

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!

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)

Answer:

53%

Step-by-step explanation:

dark blue is the answer

the equation of the line is y = 3x - 5

Answer:

WOOF WOOF

Step-by-step explanation:

i love getting extra points :)

Answer:

y = -7x + 30

Step-by-step explanation:

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.

Answer:

what is the name of the amount that is not constant

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0

Then the product of the roots = [tex]\frac{c}{a}[/tex]

(k - 2)x² - 6x + 12 = 0 ← is in standard form

with a = k - 2 and c = 12 , thus

[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )

12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )

18 = 3k ( divide both sides by 3 )

6 = k → (c)