Helpppp Asap !!! Which choice could be used in proving that the given triangles are similar?

Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer:

17, 18, 19, 20

Step-by-step explanation:

Answer:

[tex]\frac{2\pi }{3} \ ,\ \pi \ ,\ \frac{4\pi }{3}[/tex]

Step-by-step explanation:

suppose cos(x) = y

Then

[tex]2\cos^{2} \left( x\right) +3\cos x+1=0\Longleftrightarrow \begin{cases}2y^{2}+3y+1=0&\\ y=\cos \left( x\right) \ \ \text{and} &0\leqslant x\leqslant 2\pi \end{cases}[/tex]

2y² + 3y + 1 = 0 ⇒ y = -1 or y = -1/2  (because 2-3+1=0)

y = -1 ⇔ cosx = -1 ⇒ x = π  (because x∈[0,2π] )

y = -1/2 ⇔ cosx = -1/2 ⇒ x = 2π/3 or x = 4π/3

Final answer :

x = π or x = 2π/3 or x = 4π/3

Answer:

x = 7.5 units

Step-by-step explanation:

10   *   .75    = 7.5

Answer:

I got 58.5

I multiplied 3x9 to get 27

then 3x6 to get 18

then 3x9/2 to get 13.5 and added them all together.

Answer:

just start at like 220 i am pretty sure

Step-by-step explanation:

Answer:

the measurement of the angle A is 39.17°

Answer:

x = 16

Step-by-step explanation:

sec(60) = 32 /x

2 = 32/x

x2 =32

x = 16

Answer:

length ≈ 0.599 feet

Step-by-step explanation:

volume = length³

0.215ft³ = length³

cube root both sides to isolate the length

∛(0.215ft³) = length

length ≈ 0.599 feet

Answer: F(x) = 4x - 16

Step-by-step explanation: G(x) = 4x

if F(x) is the graph G(x) shifted over to the right by 4 then

F(x) = G(x-4) = 4(x-4) = 4x - 16

The general equation is f(x - amount_shifted)

The equation of the graph of the function F(x) is F(x) = (x - 3)⁴.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given a function F(x) and G(x).

Given that,

F(x) has the same shape as the graph of G(x) = x⁴.

The difference is that F(x) is shifted to the right 3 units.

A function G(x) when shifted right to k units becomes G(x - k).

So the function F(x) is,

F(x) = G(x - 3)

      = (x - 3)⁴

Hence the correct option is B.

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The number of students that are more likely to select oranges rather than bananas their favorite fruit from the next 45 is; 3.

It follows from the task content that the number of students surveyed initially is 150 and only, 30 -20 = 10 students preferred orange to bananas.

On this note, it follows that the number of students who prefer oranges rather than bananas from the next 45 is; = (45 × 10)/150 = 3.

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Answer:

the answer is 25 hope it helps

Answer:

x=12 y=2

Step-by-step explanation:

Due to fractions have screen shorted the steps in the image above

Answer:

$6954.02.

Step-by-step explanation:

The formula is

A = P(1 + 0.05/n)^2n   where A is the amount compounded, P = initial investment and n is the number of years.

A = 6300(1 + (0.05)/2)"(2*2

=  6954.02

Answer:

The price of candies in cents per ounce is 20 cents per ounce.

Step-by-step explanation:

960 cents/(48 oz) = 20 cents/oz

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} r=\stackrel{smaller}{radius}\\ R=\stackrel{larger}{radius}\\[-0.5em] \hrulefill\\ r=2\\ R=3 \end{cases}\implies \begin{array}{llll} A=\pi (3^2-2^2)\implies A=5\pi \\\\\\ A\approx 15.71 \end{array}[/tex]

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

Answer:

(3x + 2)(-x^3 - 3) =

3x(-x^3 - 3) + 2(-x^3 - 3) =

-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)

now multiply that by (3+x)...

(3+x)(-3x^4 - 2x^3 - 9x - 6) =

3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =

-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =

-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)

the coefficient of x^4 = -11 <==

Step-by-step explanation:

The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Grace collected data from twenty of her friends about the number of pets they have.  The median number of pets is two.

Median=2

By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.

Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.

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The graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

To add the two complex number on the graph, the addition as transition method is used.

In this one complex number is translated to the tip of the other graph. The resultant of addition is equal to the distance between them.

On the graph 4, the transition method of addition is applied.Thus, the graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

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Answer:

4 14/27

Step-by-step explanation:

The first five terms

6

-6/3

6/9

-6/27

+6/81

The first thing to do is change all the fractions denominators to 81.

Sum = 6*81/81 - 6(27)/81 + 6*9/81 - 6*3/81 + 6/81

Now add

Sum = 366/81

Sum = 4 14/27

Sum = 4.5185

Note the first term. It has been multiplied by 6*81/81. The 81 over 81 does not change the value of anything 6 * 81/81 is still 6. It just makes it easier to combine with the other members of the series.

Using it's concept, it is found that the state with greater population density is Illinois.

Population density is the number of habitants divided by the area.

Considering the data given, for Illinois, the density is given by:

Di = 12,801,539/55,519 = 230.58 habitants per square mile.

For Texas, the density is given by:

Dt = 27,862,596/261,232 = 106.66 habitans per square mile.

Di > Dt, hence the state with greater population density is Illinois.

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Answer:

30

Step-by-step explanation:

since we are looking for the area of a right triangle you want to use the legs of the triangle. Basically 5x12 over 2= 30, I think I am correct if not I apologize/

Answer:

the answer is 78

Step-by-step explanation:

12x 5= 60

60x13=180

180+600=780

the answer equals up to 78

Step-by-step explanation:

the volume of a cylinder is

base area × height = pi×r² × height

with r being the radius.

so, we get

pi×6² × 10 = pi×36 + 10 = 360pi =

= 1,130.973355... ft³

now we need to look at the conversion rate between feet and meters :

1 ft = 0.3048 m

1 ft² = 0.3048² m² = 0.09290304 m²

1 f³ = 0.3048³ m³ = 0.028316847... m³

1,130.973355... ft³ = 1,130.973355... × 0.028316847... =

= 32.025599... m³

so, something is not right with your answer options. it looks like you put maybe the answer options of a different question in here.

but none of them get even close to the actual solution of the given question.

A transformation's preimage is the shape before the change. The image that is a pre-image is A'B'C', which is in blue colour.

We have a term for the shape before the transformation and another one for the shape after the transformation. The shape after a transformation is the image of the transformation. A transformation's preimage is the shape before the change.

In maths, the pre-image is the original figure. Therefore, the image that is a pre-image is ABC, which is in red colour.

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The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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Answer:   x^2+4

Work Shown:

x = -2i

x^2 = (-2i)^2

x^2 = 4i^2

x^2 = 4(-1)

x^2 = -4

x^2+4 = 0

Side note: Since -2i is one root, this means 2i is the other conjugate root.

[tex]\text{For quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0[/tex]

Answer:

x = 5

Step-by-step explanation:

By the property intersecting chords:

x(16) = (10)(8)

-> x (16) = 80

-> x = 80/16

-> x = 5

The amount of pizza left over in the fraction form will be 1/4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the swim team is sharing 6 pizzas. There are 36 players on the team. If each member has 1 slice, and each pizza has 8 slices.

Total slices = 8 x 6 = 48

Total players = 36

Left slices = 48 - 36 = 12

The portion in fraction left is,

L = 12 / 48

L = 1 / 4

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