Work out the size of the angle X.

Give your answer correct to 3 significant figures.

Answer:

let the length of GE be x,

[tex] \frac{9}{3} = \frac{x}{2} [/tex]

being similar triangle.

9×2=x×3

18 = 3x

x = 18/3

x = 6 cm

Answer:

100

Step-by-step explanation

5^2=25 25x4=100

Answer:

11 2/9.

Step-by-step explanation:

1 8/9 + 9 1/3

= (1 + 9) + (8/9 + 1/3)

= 10 + (8/9 + 1/3)

8/9 + 1/3:

LCD of 3 and 9 is 9 so we have:

8/9 + 3/9 = 11/9

11/9 = 1 2/9

Answer = 10 + 1 2/9

= 11 2/9.

Answer:

[tex]11\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{8}{9} +9\frac{1}{3}=1\frac{24}{27} +9\frac{9}{27} =10\frac{33}{27} =11\frac{6}{27}=11\frac{2}{9}[/tex]

Answer:

k = 10

Step-by-step explanation:

f(x) has been moved up 10 units to get g(x).  So, k = 10

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

X = 55

Step-by-step explanation:

The angles have the same degrees, as they intersect at one point.

Answer:

87.2%

Step-by-step explanation:

move the decimal point 2 places to the right

Answer:

50 % since there are 3 odd numbers on a die [1.3.5]  and 3 even numbers [2,4,6]

Step-by-step explanation:

Answer:

50

Step-by-step explanation: PLZ MARK BRANILIST

1 3 5 are odd numbers

2 4 6 are even

so it will be like half and a half

Answer:

2) =22

3)= k> 18

Step-by-step explanation:

Answer:

16+3 = 19+ 6 =25

Step-by-step explanation:

Add all the numbers

Answer is= 25

Answer:

The correct options are:

Option b) (1, 3 + 1/2)

Option d) (2,3)

Step-by-step explanation:

Suppose that we have a function:

y = f(x)

A ordered pair (a, b) satisfies this function if:

b = f(a).

In this case, the function is:

y = -(1/2)*x + 4

Let's try with each one of the options:

a) (-1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*-1 + 4

3 + 1/2 = 1/2 + 4

3 + 1/2 = 4 + 1/2

This is false, then the point (-1, 3 + 1/2) does not satisfy the function.

b) (1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*1 + 4

3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2

3 + 1/2 = 3 + 1/2

This ordered pair satisfies the function.

c) (2&1/2, 3)

Replacing these values we get:

3 = (-1/2)*(2 + 1/2) + 4

3 = -(1/2)*2 - (1/2)*(1/2) + 4

3 = -1 - 1/4 + 4

3 = 3 - 1/4

This is false, then the point (2 + 1/2, 3) does not satisfy the function.

d) (2, 3)

Replacing these values in the function we get:

3 = -(1/2)*2 + 4

3 = - 1 + 4

3 = 3

This is true, then (2, 3) satisfies the function.

Answer:

[tex]Pr = 6.67\%[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex] i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

[tex]Total = n![/tex]

[tex]Total = 10![/tex]

If the three are to be next to each other,

First, we arrange the three

[tex]r_1 = 3![/tex]

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

[tex]r_2 =8![/tex]

So, the total arrangement, when they have to be next to one another is:

[tex]r = r_1 * r_2[/tex]

[tex]r = 3! * 8![/tex]

The probability is:

[tex]Pr = \frac{r}{n}[/tex]

[tex]Pr = \frac{3! * 8!}{10!}[/tex]

Expand

[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]

[tex]Pr = \frac{3*2*1}{10*9}[/tex]

[tex]Pr = \frac{6}{90}[/tex]

[tex]Pr = 0.0667[/tex]

Express as percentage

[tex]Pr = 0.0667 * 100\%[/tex]

[tex]Pr = 6.67\%[/tex]

Answer:

Eric is correct; side must be between 4 and 16 inches

Step-by-step explanation:

triangle inequality theorem:

6 + 10 > x;    16 > x

x + 6 > 10;     x > 4

4 < x < 16

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

The value of the number of tables will be 6 and the number of chairs will be 12.

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

From the question constraint of a maximum of 18 pieces of furniture

x + y =18

From the question constraint of at least $5400 worth of chairs and tables

600x + 150y ≥ 5400

By equation first, y = 18 - x put this into second

600x + 150(18 - x) ≥ 5400

450x ≥ 2700

x ≥ 6 hence there is need to sell at least 6 tables.

Put x =6 into x + y =18 then

y = 12 hence at least 12 chairs need to be sold.

For more about the equation

brainly.com/question/2263981

#SPJ2

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

x / y = 5 / 3, then 3x = 5y , x = 5/3y

we can type 5/3y instead of x ;

5/3y + y = 8/3y = 56, then y = 21

.

now let's find x ;

x - 21 = 56, then x = 35

x - y = 35 - 21 = 14

Step-by-step explanation:

pleases try to understand this the second photo is the first, thanks

Answer:

Sorry, I don't think there's enough information to solve the problem.

Step-by-step explanation:

Well, there's no numbers to say what the measures of the vertices are. Also, it seems like the question got cut out because the second sentence is incomplete.

A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.

If two angles are alternate exterior, then both angles have the same measure. Thus, we have the following expression:

2 · x + 19 = x + 23     (1)

Now we proceed to solve for x:

x = 4

A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.

To learn more on linear equations: https://brainly.com/question/14695009

#SPJ1

Answer:

3

Step-by-step explanation:

Prime factorize 42 and 3 and you'll eventually get 3 as your answer.

Answer:

3

Step-by-step explanation:

Since you are looking for the greatest common factor, 3 cant have many factors other than itself. So it would be 3, when simplified its similar to 42/3 and 3/3 where it would be 14 and 1.

Answer: the answer is 119,459ft lol

Step-by-step explanation:

I sacrificed my own score to get a result for the correct answer

Answer:

Option D, I agree with neither Elena nor Lin

Step-by-step explanation:

The remaining part of the question is attached herewith

Solution

As we can see in the image  

ED is perpendicular to AB and BC is perpendicular to AB

Thus, as per the Pythagoras theorem,  

AC^2 = AB^2 + BC^2  

14^2 = 6^2 + BC^2

BC^2 = 196-36 = 160

BC = 12.649 OR 12.65

Hence, option D

I agree with neither Elena nor Lin

Answer:

-4t^4+81

Step-by-step explanation:

(9-2t^2)(9+2t^2)

−4

Answer:

The equation to this problem is 2,249

Answer:

the answer

Step-by-step explanation:

2249 OR

2,249 ;)))

Answer:

It’s A.

Step-by-step explanation:

Answer and Step-by-step explanation:

Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.

So, do 400 divided by 20 to get the length, as length times width equals the area.

400 divided by 20 = 20.

The length of the room is 20 ft. (meaning the room is a perfect square.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

It is assumed the interest is simple.

Use the interest formula:

We have:

Substitute values and solve for t:

Answer:

The area of the trapezoid you have provided is 24.6

Step-by-step explanation:

The area of a trapezoid is :

[tex]0.5h(b_1 + b_2)[/tex]

Just do some substitution:

[tex]0.5 * 6 * (2 + 6.2) = 3 * 8.2 = 24.6[/tex]