Look at the rectangle and the square:


A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches

Sam says that the length of diagonal SQ is two times the length of diagonal OM.


Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.


(Sorry for the low quality image)

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44.1-22.(-1)=66

No, the point (1,-1) does not the satisfy the inequality 40x-22y<=50.

It is a type of equation in which greater than less than or equal to are used instead of only equal to.

To check whether whether a point satisfies an inequality or not we need to just put it in the inequality. So,

40x-22y<=50

40(1)-22(-1)=40+22=62

62 is not less than and not equal to 50. So it does not satisfies the inequality.

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Answer:

55

Angle C is a inscribed angle of the of Arc Ba.

CA is the diameter so that means Arc BA equal 110 becuase

110+70=180.

Angle C is half of Arc BA so Angle C is

[tex]55[/tex]

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, 2 ] , then

f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15

f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then

average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]

note :

let's solve for " y² " first ( square of other missing side )

[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]

[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]

[tex]➢ \: \: {y}^{2} = 73[/tex]

now let's solve for " x " , by using pythagorous theorem

[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]

[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]

[tex]➢ \: \:x {}^{2} = 109[/tex]

[tex]➢ \: \: x = \sqrt{109} [/tex]

Approximate :

[tex]➢ \: \: 10.44 \: \: units[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

A  x+y

B x+0 + (y+0)

Step-by-step explanation:

(x+0) + y+0

Adding 0

x+y

Changing the order of the parentheses

x+0 + (y+0)

is still the same

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

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Answer:

c = $30 + $0.75p

Step-by-step explanation:

total cost = total fixed cost + total variable cost

total fixed cost = $30

Fixed costs are costs that do not vary with output.

total variable cost = variable cost per unit x total unit

p x 0.75

Variable costs are costs that vary with production

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].

Answer:

a) 8/20 = 8 is the total of the girls and 20 is the total of the kids

b)2/20 = 2 is the total of girls that are left handed and 20 is the total of the kids

Answer:

1/2

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

6 out of the total 12 appliances sold were dishwashers, so the experimental probability that the next appliance sold will be a dishwasher is 6/12, or 1/2, or 0.50.

Answer:

The graph does not intercept the x-axis

Step-by-step explanation:

Hi there!

When the discriminant is positive, it means that in the quadratic equation, you can take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.

When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.

When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.

I hope this helps!

Answer:

Hello,

I am pretty sure that is is the last answer. 3√3.

Step-by-step explanation:

I hope this helps!

Answer:

The last answer

Step-by-step explanation:

This is asking you to do 9 divided by 3. After you divide 3 by 9 divided by 3 to get the answer

9 divided by 3 equals 3

3 divided by 3 equals 1

Answer:

C) Opposite

Step-by-step explanation:

For angle x, the 2 sides that it lies between are either adjacent or hypotenuse. The one the angle doesn't touch is the opposite.

Answer:

20 - p

Step-by-step explanation:

If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.

So, set up the expression:

20 - p

The expression to represent how much change he will get is 20 - p

Answer:

338 feet

Step-by-step explanation:

350 - 12 = 338

The function f(x) = x³ after translation becomes g(x) = x³ - 4.

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the function f(x) = x³ and its transformed graph as shown in the image.

The function f(x) is translated downwards. This is called downward translation. Assume that the function f(x) after the translation becomes g(x). The function f(x) = x³ passes through the origin. After translation, all the {y} - coordinates will be shifted in the downward direction by 4 units. So, we can write the final function as -

g(x) = f(x) - 4

g(x) = x³ - 4

Therefore, the function f(x) = x³ after translation becomes g(x) = x³ - 4.

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Answer:

B

Step-by-step explanation:

pls give me brainliest

Answer:

A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.

Option is B

Step-by-step explanation:

Answer:

76 degrees

Step-by-step explanation:

this special line is an angle bisected.

that means it splits the angle at its starting point in 2 halves. as these names indicate, both parts are of equal size (half of the general angle).

we know one part (2) of this split angle : 38 degrees.

the other part (1) had to be equally sized : 38 degrees.

so, the total angle at point R is the sum of both split angles:

TRS = 38+38 = 76 degrees.

Answer:

the anwers is b= 3/2 And yeah that's you're anwers

Answer:

(1,0)

Step-by-step explanation:

Hi there!

We're given the equation of the line as 2y+3x=3, and we want to find the x intercept of the line.

The x intercept is the coordinate point at which the line passes through the x axis. Therefore, the value of y at the x intercept will be 0.

So we can substitute 0 as y in 2y+3x=3; we'll only have x left if we do this to solve for the x intercept.

2(0)+3x=3

multiply

3x=3

divide both sides by 3

x=1

so the x intercept is 1; as a point it's (1,0)

Hope this helps! :D

Answer:

0.62

Step-by-step explanation:

it is because the number of girls in the class is larger than the number of boys in the class which means the probability is high

The probability of picking a girl is 0.55.

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Number of boys = 13

Number of girls = 16

Total number of students = 13 + 16

                                          = 29

Probability = [tex]\frac{Favorable events}{Total number of events}[/tex]

                  = [tex]\frac{16}{29}[/tex]

                  = 0.55

Hence, we can conclude, the probability of picking a girl is 0.55.

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Answer:

Option C, functions can only have one y-value at any given x-place

In constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.

(See attachment).

Recall:

Using the knowledge of all these, an map named, "California City Map" has been drawn as shown in the image attached below.

The details are as follows:

1. Title for the map is:

2. The three streets that are parallel are:

The street (transversal) that intersects the three is:

3. St. Michael Hospital is alternate exterior to Baptist Model School

4. Baptist Model School and Living Well Drug Store are in corresponding locations to each other.

5. Living Well Drug Store and Vik Pet Store are at vertical locations.

6. Vik Pet Store and Elite Gas-station are at alternate interior locations.

7. St. Michael Hospital and Livingstone Park are at same-side exterior locations.

8. Elite Gas-station and Richie Grocery Store are at same-side interior locations.

9. Richie Grocery Store and Beautyjay Nail salon are at vertical locations.

10. Beautyjay Nail salon and Retro Bank Plc are at corresponding locations.

11. Retro Bank Plc and Tessy's Fast Food Restaurant are at same-side interior locations.

12. California City Mall and Remis Bookstore are at corresponding locations.

In summary, in constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.

(See attachment).

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Answer:

the equation is y=4x+19

Step-by-step explanation:

Mark as brainllest if correct

Answer:

75.615 m^3

Step-by-step explanation:

volume is length x width x height

7.1*7.1*1.5

75.615 m^3

Answer:

POINTS

Step-by-step explanation:

Answer:

[tex]g(x) = (x - 2)^2 + 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

Required

Determine g(x)

f(x) represents the parent function. And from the graph, we have:

[tex]f(x) = x^2[/tex]

f(x) is first shifted 2 units right.

The rule is:

[tex]f'(x) = f(x - 2)[/tex]

So, we have:

[tex]f'(x) = (x - 2)^2[/tex]

Next, f'(x) is shifted 1 unit up to give g(x), the blue graph.

The rule to this is:

[tex]g(x) = f'(x) + 1[/tex]

[tex]g(x) = (x - 2)^2 + 1[/tex]

Solution :

It is given that the manager hires a labor and he rents the capital equipment [tex]\text{in a very competitive market}[/tex].

Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the [tex]\text{marginal product}[/tex] of the labor is 50 units of the output per hour and the marginal.

Therefore, the answer is

14 + 10 = 24

[tex]<marquee>Give:/u Name[/tex]

Step-by-step explanation:

4a+3b+17

is your answer

hear is your explanation