The graph shows triangle A B C is congruent to triangle D E F ​by S A S, where segment C A is congruent to segment F D, segment C B is congruent to segment F E, and angle C is congruent to angle F

Move the statements to the table to create a series of transformations that will map triangle A B C onto triangle D E F to show that the two triangles are congruent.
What is Transformation 1 and. Transformation 2

Answer:

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36 ( subtract 6x from both sides )

- x + 12 = - 36 ( subtract 12 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36

5x + 12 - 6x = - 36

- x = - 36 - 12

- x = - 48

Now change the sign of both side of the equation...

x = - ( - 48)

x = 48...

Answer:  

[tex]85in^2[/tex]

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

[tex]a_{square}=l^2[/tex]

where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]

thus the area of the square is:

[tex]a_{square}=(5in)^2[/tex]

[tex]a_{square}=25in^2[/tex]

Area of the triangles:

the are of 1 triangle is given by

[tex]a_{triangle} =\frac{b*h}{2}[/tex]

where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)

and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]

thus, the area of 1 triangle is:

[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]

[tex]a_{triangle} =\frac{30in^2}{2}[/tex]

[tex]a_{triangle} =15in^2[/tex]

the area of the 4 triangles is (we multiply by 4):

[tex]a_{4-triangles}=4(15in^2)[/tex]

[tex]a_{4-triangles}=60in^2[/tex]

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

[tex]Surface=25in^2+60in^2[/tex]

[tex]Surface=85in^2[/tex]

If g(x) = 1/(3x²), the by the definition of the derivative, we have

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]

[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]

Answer:

YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE

Step-by-step explanation:

i got it right on TTM

The measure of the ∠B of given parallelogram is 362 - 42x

In the above question, a figure which is known as Parallelogram is given, where the following angles are given :

Measure of ∠A = 6x + 14

Measure of ∠C = 9x - 7

Measure of ∠D = 17x + 5

We need to find, the measure of the ∠B

From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B

Now,

∠A + ∠B +  ∠C + ∠D = 360

16x + 14 +  ∠B + 9x - 7 + 17x + 5 = 360

∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)

∠B + 42x = 360 - (-2)

∠B = 362 - 42x

Hence, the measure of the ∠B is 362 - 42x

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Answer:

56 degrees

Step-by-step explanation:

Just did the Imagine Math

Answer:

61.90

Step-by-step explanation:

12.2+14+14+6=46.2

of semi circle

circumference of semi circle = [tex]\pi[/tex]d

[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]

semi circle so divide by 2 = 5[tex]\pi[/tex]

5[tex]\pi[/tex] = 15.7

46.2 + 15.7 = 61.9

Answer:

Company "A"

Step-by-step explanation:

its the highest line on the graph from the 300 point.

Answer:

y=3x-12

Step-by-step explanation:

We need to find the m of y = mx+b which is the slope:

-3-(-6)/3-2 = 3 as our slope

We know have y = 3x+b.

If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12

Answer:

Step-by-step explant 1 grows more

Step-by-step explanation:

plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:

Answer:

I believe the answers are :

5 cm, 9cm, and 15 cm

3 cm, 5 cm, and 10 cm

Step-by-step explanation:

When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.

Answer:

a = -4

Step-by-step explanation:

(a + 2)/2 = - 1

a+2 = -1 * 2

a = - 2 - 2

a = -4

Answer:

-2.5

Step-by-step explanation:

soo your objective is to make a alone

first remove the denominator

a+2 / 2 = -1

a + 2 = -1/2

now minus 2 to  both sides

a = -1/2 - 2

a = -2 1/2

Answer: B

Step-by-step explanation:

By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.

Answer:

I worked it out and got C as my answer

Answer:

The amplitude is the highest point that the curve reached

Which is in your case = 2

The letter A represents where the amount of $158.29 should be written.

The letter D represents where the amount of $250 should be written.

This refers to the automated machine that is used to handle cash transactions and also for making calculations.

Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.

However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.

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Answer:

A and D

Edge 2022

The image of dilating the points by a scale factor 3.5 with centre of enlargement (4, -6) is (-7, 14), (0, 14), (-7,7) and (0, 7)

The coordinates are given as:

(2,-2) (4,-2) (2,-4) (4,-4)

The scale factor is given as:

k = 3.5

The center of enlargement is given as:

(a,b) = (4, -6)

The image of dilation is calculated using:

[tex](x,y) \to (k(x -a), k(y -b))[/tex]

So, we have:

A = (3.5(2 -4), 3.5(-2 +6))

A = (-7, 14)

B = (3.5(4 -4), 3.5(-2 +6))

B = (0, 14)

C = (3.5(2 -4), 3.5(-4 +6))

C = (-7,7)

D = (3.5(4 -4), 3.5(-4 +6))

D = (0, 7)

Hence, the image of dilating the points is (-7, 14), (0, 14), (-7,7) and (0, 7)

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Answer:

x = 4

Step-by-step explanation:

-x + 6 = 0.5x

1.5x = 6

x = 4

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

The functions in ascending orders are:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.

Note that in the above such as 3x, 3x + 8, the  functions in ascending orders as it start with the function that has it least value.

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Answer4

m

2

−

7

m

n

−

2

n

2

Step-by-step explanation:

The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.

It should be noted that a function simply means a relation or expression that involves two or more variables.

In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.

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Answer:

B. f(x) = /x/ + 3

Step-by-step explanation:

edg 22'

Answer:

I'm sorry but I need some numbers to solve. we just learned this in class so I'm new though

Step-by-step explanation:

Needs numbers

Answer:

19

Step-by-step explanation:

Answer:

729.

Step-by-step explanation:

-3 /1 =-3

9 / -3= -3

-27/9 = -3

So this is a geometric sequence with common ratio r = -3.

First term a = 1 so

nth term = ar^(n-1)

               =  1(-3)^(n-1)

7th term  =  1(-3)^(7-1)

                =  (-3)^6

                 =  729.

Answer:

x = 7.3

Step-by-step explanation:

area = base × height / 2

21.9 = 6 × x / 2

43.8 = 6x

x = 7.3

Answer:

7.3

Step-by-step explanation:

The formula to find the area of a triangle is (1/2)(a)h = A.

Replace the variable h (height) with x.

Isolate the x variable (height) in order to find the height value.

(1/2)(6)x = 21.9

3x = 21.9

x = 21.9/3

x = 7.3

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

⟹ x = -2

Answer:

168

Step-by-step explanation:

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation: