For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.

Answer:

csc²(x)

Step-by-step explanation:

csc(x) = 1/sin(x)

sin²(x) + cos²(x) = 1

=> cos²(x) = 1 - sin²(x)

cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =

= 1 - 2×sin²(x)

=> 2×sin²(x) = 1 - cos(2x)

sin²(x) = 1/2×(1-cos(2x))

=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)

=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =

= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)

Answer:

x = [tex]7\sqrt{2}[/tex]

Step-by-step explanation:

a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .

since the other two sides are equal both should be denoted as x.

now the value of a is given i.e 14 m

using pythagoras theorem,

pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,

a^2 + b^2 = c^2

x^2 + x^2 = 14^2

2x^2 = 196

x^2 = 196/2

x^2 = 98

x = [tex]\sqrt{98}[/tex]

x = [tex]7\sqrt{2}[/tex]

Answer:

[tex]x=7\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,

[tex]x-x-x\sqrt{2}[/tex]

Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. ([tex]x\sqrt{2}[/tex]) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).

[tex]x=\frac{a}{\sqrt{2}}[/tex]

Substitute,

[tex]x=\frac{14}{\sqrt{2}}[/tex]

Simplify,

[tex]x=\frac{14}{\sqrt{2}}\\\\x=\frac{14*\sqrt{2}}{\sqrt{2}*\sqrt{2}}[/tex]

[tex]x=\frac{14\sqrt{2}}{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Answer:

1 : 7

Step-by-step explanation:

Given

5 miles : 35 miles ( divide both parts by 5 )

= 1 : 7 ← in simplest form

Answer:

There are two terms that could have a greatest common factor of 5m2n2, and those are 5m4n3 and 15m2n2.

The only correct option will be 5m^4n^3 since 5m²n² can go in the expression,

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers

From the question, we are to find the equivalent expression that has 5m²n² as a factor

The only correct option will be 5m^4n^3 since 5m²n² can go in the expression,

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Answer to this question:

I think the answer is 3

Answer:

BCF is the correct answer

Answer:

b, c, and f

Step-by-step explanation:

because on the negative scale -5 is closer to 0 than -7, -4 is closer to 0 than -6, and -4 is closer to 0 than -5. So in this case b, c, and f are true because it is greater than. Sorry if I explained it badly, but im pretty sure its b, c, and f.

Answer:

C:  5

Step-by-step explanation:

Here the variable x shows up specifically only once, with coefficient 5:

5x^2 + 3

This actually represents 5x^2 + 0x + 3.

The coefficient of the explicily-given x-term is 5.  The other coefficients are 0 and 3.

Answer:

Step-by-step explanation:

Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.

Now all we need to do is to find x.

We know that ,

x + 12x = 1872

Now we add x and 12x on the left hand side

13x = 1872

Now we divide both sides by 13 to get x. (That includes 1872 as well)

x = 144

Now we have the value of x which is 144

We know that the number of green jelly beans was 12 times x

So the number of green jelly beans in numeric value is : 12 * 144

As x is equal to 144

Ans . : The number of green jelly beans is 1728.

The number of green jelly beans is 1728.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let the number of orange jelly beans = x ,

So, the number of green jelly beans will be = 12 times x ,

which can be written as,  12x.

Now, there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange is x , and the number of green jelly beans is 12x.

So if we the green jelly beans and orange jelly beans , it should be 1872.

Now, We get;

x + 12x = 1872

13x = 1872

Divide both sides by 13,

x = 144

So, the number of green jelly beans in numeric value is :

⇒ 12 × 144

⇒ 1728

Thus, The number of green jelly beans is 1728.

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Answer:

114

Step-by-step explanation:

550*12%=66

400*12%=48

48+66=114

Answer:

f(3) = [tex]\frac{64}{3}[/tex]

Step-by-step explanation

f(3) = [tex]\frac{1}{3}[/tex] x [tex]4^{3}[/tex]

f(3) = [tex]\frac{1}{3}[/tex] x 64

f(3) = [tex]\frac{64}{3}[/tex]

Answer:

x = students

y = adults

Linear Systems of Equations :

x + y = 937

0.75x + 2y = 1,109

Step-by-step explanation:

Step 1 : eliminate one of the variables

x + y = 937

0.75x + 2y = 1,109

-2(x + y = 937) = -2x - 2y = -1874

-2x - 2y = -1874

0.75x + 2y = 1109

We can eliminate y since -2y + 2y = 0

Step 2: Find x number of students.

-2x = -1874

+0.75x = 1109

____________

-1.25x = -765

____________ = 612 students attended

     -1.25

937 - 612 = 325 adults

Check Answer :

612 x 0.75 = $459

325 x 2 = $650

$650 + $459 = $1,109

Therefore, there will be 612 students attending and 325 adults.

Answer:

Option C

Step-by-step explanation:

[tex] \sqrt[5]{x {}^{2} y} (4 + 3) \\ 7 \sqrt[5]{x {}^{2} y} [/tex]

Answer:

[tex]\dfrac{x}{2 \cdot x + 14} + \dfrac{x - 4}{6} = \dfrac{3}{x^2} + 2\cdot x - 35; Domain \ restriction \ x \neq 0 \ or \ -7[/tex]

Step-by-step explanation:

The given rational equation is presented here as follows;

[tex]\dfrac{x}{2 \cdot x + 14} + \dfrac{x - 4}{6} = \dfrac{3}{x^2} + 2\cdot x - 35[/tex]

A domain restriction are the limits to the ranges of input values (x-values) of a function

The three main types of domain restrictions are the reciprocal function, the log function, and the root function

The form of restriction in the given rational are reciprocal form, which are;

[tex]\dfrac{x}{2 \cdot x + 14}[/tex], and [tex]\dfrac{3}{x^2}[/tex], from which the function is undefined when;

2·x + 14 = 0, therefore when x = -7, or x² = 0, when x = 0

Therefore, the domain restrictions are that the function is defines for all x, except x = -7 and x = 0

The domain restrictions are x ≠ -7 and x ≠ 0.

Answer:

it's -7 and 5

Step-by-step explanation:

used his and got it wrong

Answer:

nkknknknjobbjojobihgghighigugyghugughuugbhibhi

Step-by-step explanation:

hibbihib

gbuhbuhb

buying hi

hnununnhon

jinonoonno

Answer:

A   G(x) = (x - 5)²

Step-by-step explanation:

Plug in x = 5 into the given choices

only G(x) = (x - 5)² correctly returns G(5) = 0

Answer:

x=6

Step-by-step explanation:

2x + 2y = 20

Let y=4

2x +2(4) = 20

Multiply

2x+8 = 20

Subtract 8 from each side

2x+8-8= 20-8

2x = 12

Divide by  2

2x/2 = 12/2

x = 6

Answer:

[tex]x=6\\[/tex]

Step-by-step explanation:

[tex]2x+2(4)=20[/tex]

[tex]2x+8=20[/tex]

Subtract both sides by 8

[tex]2x=12[/tex]

Divide both sides by 2 to get x alone

[tex]x=6[/tex]

Hope this is helpful

Answer: 24

Step-by-step explanation:

Since we are given the information that

Shop Shawn used: y=10+3.5x while Shop Dorian used: y=6x.

To solve the question asked, we need to equate both equations together and this will be:

10 + 3.5x = 6x

6x - 3.5x = 10

2.5x = 10

x = 10/2.5

x = 4

Therefore, we can put the value of x into any of the equation to get y. This will be:

y = 6x

y = 6 × 4

y = 24

The amount paid for the rentals is 24

Answer:

D 24

Step-by-step explanation:

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Answer:

3(3x - 10)(9x² + 30x + 100)

Step-by-step explanation:

Given

81x³ - 3000 ← factor out 3 from each term

= 3(27x³ - 1000 )← a difference of cubes which factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

27x³ - 1000

= (3x)³ - 10³

= (3x - 10)((3x)² + (3x)(10) + 10²)

= (3x - 10)(9x² + 30x + 100)

Then

81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form

Answer:

A

Step-by-step explanation:

because linear modelling can include population change

Since there isn't a picture of the graphs, I attached one, of my graph, to this answer.

I'm also assuming (y2 2x+1) is actually (y< 2x+1).

Possible solutions are within the purple section of the attached image.

I hope this is helpful to you.

Graph that represents both the inequality is attached below.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

First, we make the graph,

The border of the inequality y = 2x + 1 has a slope of 2 and a y-intercept of 1. Plotting the y-intercept at (0, 1) and using the slope to determine further points will allow us to draw this line.

For instance, if we move two units up (in the positive y-direction) and one unit to the right (in the positive x-direction), we get the point (1, 3).

The answer to y < 2x + 1 may be represented by connecting these points with a dashed line and darkening the area below the line.

A boundary line for the inequality y -2x - 3 has a slope of -2 and a y-intercept of -3. Plotting the y-intercept at (0, -3) and using the slope to determine further points will allow us to draw this line.

For instance, if we move two units down (in the negative y-direction) and one unit to the right (in the positive x-direction), we get the point (1, -5).

The answer to y < -2x - 3 may be represented by connecting these points with a dashed line and coloring the area below the line.

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Answer:

mode=4 cos it occurred 9times

median=11122222333333444444444455555667777778888

=4 and 4= 4

mean= sum fx/sum f

Answer:

k = -2/3

Step-by-step explanation:

y = kx

plug in the x,y values

2 = k(-3)

divude both sides by-3

-2/3 = k

k = -2/3

Answer:

[tex]16m^{3}[/tex]

Step-by-step explanation:

The volume of a tetrahedron shape is calculated by first multiplying the base area by 1/3. Then you multiply the product obtained by the height of the tetrahedron. This will give you the volume of the tetrahedron. For example, using the values provided, the volume would be the following...

(12 * 1/3) * 4 = x

4 * 4 = x

16 = x

Finally, we can see that the volume of the tetrahedron is  [tex]16m^{3}[/tex]

Answer:

rtyujn

Step-by-step explanation:

er456y7ujm

Answer:

43

Step-by-step explanation:

We have to find angle CXY

So,

YE/EX=DY/CX

Therefore XY//CD [Theorem]

Angle D =Angle Y [Corresponding Angles]

Angle E + Angle Y +Angle X=180

Angle X=180-(Angle E + Angle Y)

Angle X=180-(89+48)

Angle X=180-137

Angle X=43

Angle CXY=43 Degree

Given:

The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].

To find:

The perimeter of a right triangle.

Solution:

In a right angle triangle,

[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]

[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]

[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]

[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]

On further simplification, we get

[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Now, the perimeter of the triangle is the sum of all of its sides.

[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]

Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.

Answer:

210

Step-by-step explanation:

5x7x6