Which dimensions can create only one unique triangle?

Answer:

-9x + 6

Step-by-step explanation:

-6x−3(x−2)

Solution:

-6x−3(x−2)

-6x−3x+6

-9x + 6

Answer:

6 square feet

Step-by-step explanation:

Carpet has w= 8 ft and l = 12 ft

Reduced carpet has w' = 2 ft

Reduction factor is

Then

Area of small carpet

Answer:

Step-by-step explanation:

hello :

given the line  :  5x – 2y = -6

the answer is : 2x + 5y = -10  because :

1) this line passes through then point (5 ,-4) : 2(5)+5(-4)=-10....right

2)  the slope of   the given line is: 5/2   because 5x-2y=-6  equivalent to ;

2y =5x+6   so : y = (5/2)x+3

On the other hand :  2x + 5y = -10 equivalent to : 5y =-2x-10

y = (-2/5)-2  when the slope is : -2/5

the condition for the perpendicularity is : product two slope is : - 1

(5/2)(-2/5) =-1

Answer:

240 cubic centimetres

Step-by-step explanation:

volume of the right rectangular prism

[tex] = 8 \times 10 \times 3 \\ = 240 \: {cm}^{3} [/tex]

Answer:

48°

Step-by-step explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° =  [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

[tex]x = arctan (\frac{10}{9})[/tex]

Using a calculator, the answer would be:

[tex]x = 48.0128[/tex]

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.

Answer: $2.40

Step-by-step explanation:

$7.20 divided by 3.

Answer:

They will get $2.4 each

Step-by-step explanation:

Mrs Golub haas $7.20 to share between 3 grandchildren

To share it equally, she should divide the amount by 3, which is

$7.20/3 = $2.4

Answer: 18 in

Step-by-step explanation:

AB=a2

V=a2h

3

Solving forh

h=3V

AB=3·150

25=18in

40.

Step-by-step explanation:

Base times height. This is a rhombus. 4 x 10 = 40. If you chop off the triangle to the right and place it on the left where 5 is, it'll be a rectangle. Formula for a rhombus is B x H, Base is 10, height is 4, and you get 40.

So, the triangle is equilateral, all its sides are equal⇒

AB=BC=AC=8

In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒

AO=OC=8:2=4

by the Pythagorean theorem

[tex]8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}[/tex]

Answer: BO=4√3

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P.S. Hello from Russia :^)

Answer:

I think its <afb

Step-by-step explanation:

The required, adjacent angle to DFE is angle BFC. Option D is correct.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Angle BFC is next to angle DFE, and they share a common side, which is line segment EF. Therefore, we can stretch this statement as follows:

"When looking at the angle DFE and moving clockwise around the vertex F, the next angle encountered is angle BFC, which is adjacent to angle DFE and shares the side EF with it."

This restatement clarifies the location and relationship of angle BFC with respect to angle DFE.

Thus, the required, adjacent angle DFE is angle BFC. Option D is correct.

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Final answer:

To determine the amount of cheese used per pizza, divide the total amount of cheese (4.375 pounds) by the number of pizzas (50), which equals 0.0875 pounds of cheese per pizza.

Explanation:

To find out how many pounds of cheese are used per pizza, we calculate the cheese usage rate by dividing the total pounds of cheese by the number of pizzas. The given information tells us that 4.375 pounds of cheese are used for every 50 pizzas. To find the amount of cheese used per pizza, we divide 4.375 pounds by 50.

4.375 pounds ÷ 50 pizzas = 0.0875 pounds per pizza

Thus, the restaurant uses 0.0875 pounds of cheese for each pizza made.

Answer:

73.4

Step-by-step explanation:

23-14=9

22.7-9=13.7

13.7+14=27.7

27.7+22.7+23=73.4

Answer:

BF = 30

Step-by-step explanation:

Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus

BF = 0.5 × 60 = 30

The value of BF will be, 30 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In this picture;

B, D, and F are midpoints.

And, AC = 50, CE = 60 and BD = 35.

Here, C is midpoint of CE.

Hence, We get;

⇒ CD = 1/2 × 60

           = 30

Here, The length of BF is equal to the length of CD.

Hence, The value of BF = 30 units.

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Answer:21

Step-by-step explanation: The median is the number in the middle sorted from least to greatest, here 21 is the middle number.

Answer:

21

Step-by-step explanation:

Answer:

Lee's house.

Step-by-step explanation:

Plot (-5, -1) on a graph and Lee's house is the closest and in the same quadrant.

Answer: LEE

Step-by-step explanation:

because its a negative and a negative.

Answer:

The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm

Step-by-step explanation:

I did it on the assignment

Answer:

The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm

Step-by-step explanation:

Answer:

y=1/4x-4

Step-by-step explanation:

Answer:

y=x+3

Step-by-step explanation:

Answer:

-4.

Step-by-step explanation:

I am assuming that x means times here.

(4-2)^3-3x4

= 2^3 - 12

= 8 - 12

= -4.

I believe that it’s 4000

Answer: 40

Step-by-step explanation: I got it right :)

Answer:

x = 3.33

y = 0.33

Step-by-step explanation:

to evaluate for y in this system of linear equation we would say that let

4x-2y=6 ........................................................... equation 1

2x+y=7 ..............................................................equation 2

from equation 2

2x+y=7 ..............................................................equation 2

y = 7 - 2x........................................... equation 3

substitute for y in equation 1

4x-2y=6 ........................................................... equation 1

4x -2( 7 - 2x) = 6

4x - 14 + 2x = 6

6x = 6 +14

6x = 20

divide both sides by 6

6x/6 = 20/6

x = 3.33

put x into equation 3

y = 7 - 2x........................................... equation 3

y = 7 -2( 3.33)

y = 7 -6.667

y = 0.33

Final answer:

To solve for y using the Addition Method, first manipulate the equations to have opposite coefficients for y, add them to find x, and then substitute x back into one of the original equations to solve for y. The solution is x = 2.5 and y = 2.

Explanation:

The student is asking how to solve for y in a system of linear equations using the Addition Method. The given system of equations is:

4x - 2y = 6

2x + y = 7

To use the Addition Method, we aim to eliminate one variable by adding the equations. First, we manipulate the equations to have opposite coefficients for the y variable. Multiply the second equation by 2:

(2x + y) × 2 → 4x + 2y = 14

Now we have:

4x - 2y = 6  (Equation A)

4x + 2y = 14 (Equation B)

Add Equation A and Equation B:

4x - 2y + 4x + 2y = 6 + 14

8x = 20

x = 20 / 8

x = 2.5

Substitute x back into the second original equation to solve for y:

2(2.5) + y = 7

5 + y = 7

y = 7 - 5

y = 2

Hence, the solution to the system of equations is x = 2.5 and y = 2.

Answer:

2/3

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

    = (3-1)(1--2)

     = (3-1)/(1+2)

     =2/3

We can use the points (-2, 1) and (1, 3) to solve.

Slope formula: y2-y1/x2-x1

= 3-1/1-(-2)

= 2/3

Best of Luck!

Answer:

Step-by-step explanation:

D is the correct option.

Answer:

D. [tex]\frac{\pi}{4} (\frac{4r^{2}h }{3} )[/tex]

Step-by-step explanation:

Edge 2021

Answer:

See below.

Step-by-step explanation:

First check that f(x) has a real value at x = 3:

f(3) = 3^2 + 5(3 - 2)^7

=  9 + 5 * 1^7

=  14,

So the first condition is met.

Now we check if limit as x approaches 3 exists.

As x approaches 3 from below f(x) approaches 14 and at x = 3 = 14.

As x approaches 3 from above f(x) approaches 14 and at x = 3 = 14.

These 3 conditions  shows that f(x) is continuous at x = 3.

The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 because it meets all the conditions of continuity: it is defined at x = 3, the limit of the function as x approaches 3 exists, and the limit equals the function's value at x = 3.

The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 if it satisfies the following three properties: the function is defined at x = 3, the limit of the function as x approaches 3 exists, and the function value at x = 3 is equal to the limit as x approaches 3.

Step 1

The function is defined at x = 3. When we substitute x = 3, we get f(x) = 3^2 + 5(3 - 2)^7= 9 + 5*1^7 = 14.

Step 2

The limit of the function as x approaches 3 exists. As x approaches 3 from both the left and right sides, the function takes the value 14.

Step 3

Finally, the limit as x approaches 3 is equal to the function's value at x = 3. In other words, the limit is 14, which is equal to the function's value when x = 3 (which is also 14).

Since the function satisfies all these conditions, we can say that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3.

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When x is substituted with -2 in the given expression, the value of the expression is 1.

Given the expression and the value of x, we can substitute x with -2 and evaluate the expression.  For example, if the expression is x² + 2x - 3 and you want to find the value when x = -2, then you'd substitute x = -2 into the expression giving (-2)² + 2*(-2) - 3 = 4 - 4 - 3 = -3. Substituting values in, simplifying, and solving is the general process to follow when coming across this kind of problem in quadratic equations or other areas of Algebra.

Let's say the expression is 2x + 5. Substituting x with -2, we get:

2*(-2) + 5 = -4 + 5 = 1

Therefore, the value of the expression when x = -2 is 1.

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