ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180   {supplementary}

3x  - 17  + 5x + 21 = 180    

Add the like terms

8x  + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Answer:

x = 22

Step-by-step explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

Answer:

distance ÷ 67 = how many hours took to ride that much

you can use a normal table that looks like the ones on google when you search up "tables in math"

I'm sorry for this short answer! I'm in a rush but I hope this helped!

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

Answer:

 The length of  arc  'l' = 9.5

Step-by-step explanation:

Explanation:-

Given radius of the pendulum r = 25

The tip of a pendulum moves through an angle of 0.38 radians

     θ = 0.38 radians

The length of  arc  'l' = rθ

                             'l' = (25)(0.38)

 The length of  arc  'l' = 9.5                        

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

Answer:

RT ≈ 16.48 units

Step-by-step explanation:

The measure of arc RT is calculated as

RT = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{118}{360}[/tex]

    = 2π × 8 × [tex]\frac{118}{360}[/tex]

     = 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )

The length of the arc RT is 8.23 units.

The characteristics of a circle's arc are:

Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:

length of arc RT = (0.3278) * (2 * π * radius)

where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:

length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π

Rounding to the nearest hundredth, we get:

length of arc RT ≈ 8.23 units.

Learn more about arc here:

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Answer:

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

Answer:

Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]

Part B: C. [tex]3x(x-3) = 0\\[/tex]

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: [tex]y = (x + 1)(x+3)[/tex]

Now plug in 0 for x.

[tex]y = (0 + 1)(0+3)\\[/tex]

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: [tex]3x(x-3) = 0[/tex]

Now plug in x for 0 and solve:

[tex]3* 0 (0-3) = 0\\[/tex]

[tex]0(-3) = 0\\[/tex]

[tex]0 =0\\[/tex]

This equation is true, now we check for the other value of x, 3.

[tex]3*3(3-3) = 0\\[/tex]

[tex]9(0) = 0\\[/tex]

[tex]0 =0\\[/tex]

This is also true so that means this is the correct answer.

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system. 

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations. 

Step-by-step explanation:

Answer:

You Should see 4 Points

Step-by-step explanation:

Answer:

[tex]19[/tex]

Step-by-step explanation:

[tex]3 + (6 -2) \times 4[/tex]

[tex]3 + (4) \times 4[/tex]

[tex]3 + 16[/tex]

[tex]=19[/tex]

Answer:

19

Step-by-step explanation:

use the other of operations

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

Answer:

The dilation is an enlargement, and the scale factor is 2.  So, the answer is B.  

Step-by-step explanation:

The dilation is an enlargement, and the scale factor is 2.  

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

The image of the object undergoing transformation is given.

From the attached object, we se that CP = 4.

Also CP' = 8

Thus; Scale factor is 8/4 = 2

Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.

The scale factor of the given dilation is; 2 and the dilation is a enlargement.

Read more about Transformations at;

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Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

Answer:

The answer is 1-1/2 minutes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D. g(x) = (x + 4)2 + 6

Step-by-step explanation:

I just took the test and this was the correct answer

Answer:

Seems like a personal issue

Step-by-step explanation:

Hint: Use your Brain!

Answer:

10

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

We have a right triangle.

Hypotenuse = c = 50 ft

Leg  #1 = a = 40 ft

Leg#2 = b = ?

We need to use Pythagorean Theorem

c² = a² + b²

50² = 40² + b²

b² = 2500 -1600 = 900

b = 30

Answer:

d = 3

Step-by-step explanation:

d represents the common difference between consecutive terms in the sequence, that is

d = 30 - 27 = 33 - 30 = 36 - 33 = 3

Answer: -$13.47 per hour

Step-by-step explanation:

Hi, to answer this question we have to write an expression:

The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :

9.25 (36) + 8 (380/20) =  

Solving:

333+ 8 (19) =

333+152 = $485

If we divide the result by the number of hours:

485 /36 = $13.47 per hour

Feel free to ask for more if needed or if you did not understand something.  

Answer:

$13.47 per hour

:):):):):):)

Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

Answer:

[tex] - \frac{4}{3} [/tex]

Step-by-step explanation:

gradient formula:

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]

Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."

Formula used

Two coordinates on line

[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Point on the line

[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]

Substitute the value to get the slope of the line,

Slope = [tex]\frac{1-5}{4-1 }[/tex]

          = [tex]\frac{-4}{3}[/tex]

Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

Learn more about slope here

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The right options are:

Option A

Option B

Option C

Please see the attached picture.

hope it helps

Good luck on your assignment..