Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
16
24
18
12
a.
12
18
1
-
-
24
10
2
b.
12
16
2
18
24
3
С.
12
18
3
=
16
24
4
d
18
24
3

Answer: [tex]f(2x)=8x^2-1[/tex]

Step-by-step explanation:

All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.

[tex]f(2x) = 2(2x)^2-1\\f(2x) = 2(4)x^2-1\\f(2x) = 8x^2-1\\[/tex]

Answer: -26

Step-by-step explanation:

2(n - 4)= 3(n + 6)

2n -8 = 3n + 18  

     +8          +8

2n = 3n + 26

-3       -3

-1n = 26

n= -26

Answer:

D.2730

Step-by-step explanation:

15x14x13=2730

First divide $20.42 by 10 to find the cost of 1 pound/16 ounce turkey.

Dividing, this gives us 2.042.

Now, to find the cost of a 21-pound turkey, we multiply

the cost of 1 turkey by 21 to get 42.882.

So a 21-pound turkey is $42.882.

Answer:

288

Step-by-step explanation:

In the given expression, we can replace the given values for c and d

Since c is 3 and d is 4,

3c(-2)d(-4)

After substituting we multiply:

= 3*3*-2*-4*4

= (9)(-2*-4)*4

Two minuses become positive

So it'll be,

9*8*4

= 288

Here's ur answer

Answer:

right isosceles I'm pretty sure

The solution is Option D.

The triangle is a right scalene triangle

A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

The measures of the sides of the triangles are 3.4 cm , 4 cm and 5.2 cm

The measures of angles of triangle are 40°, 50°, and 90°

Since the triangle is having all its length and sides different , it is a scalene triangle

Now , For a right angle triangle

hypotenuse² = base² + height²

( 5.2 )² = ( 3.4 )² + ( 4 )²

( 5.2 )² = 11.56 + 16

( 5.2 )² = 27.56

Hence , the triangle is a right scalene triangle

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Answer:

yes :) most ordered pairs would be a function.

Answer:

yes

Step-by-step explanation:

Most functions are already ordered pairs.

Answer:

Area of the frame not covered with photo is equal to 129 square inches

Step-by-step explanation:

Given: Image of a frame

To find: Area of the frame not covered by the picture

Solution:

Area of rectangle = length of the rectangle × breadth of rectangle

Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches

Area of the frame covered with photo = 18 × 12 = 216 square inches

Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches

Answer:

Step-by-step explanation:

4x - 2y = -2   ------------------(I)

6x + 3y = 27 ------------------(II)

Multiply (I) by 3 & multiply (II) by 2

(I)*3           12x - 6y = -6

(II)*2          12x + 6y = 54  { Now add &  y will be eliminated}

               24x          = 48

 x = 48/24

x = 2

Plugin the value of x in equation (I)

4*2 - 2y = - 2

8 - 2y = -2          {subtract 8 from both side}

-2y = -2 - 8

-2y = -10   {Divide both sides by -2}

y = -10/-2

y = 5

ok so to find the range it is the biggest subtracted from the smallest so it would be

8.6- -8.2= 16.8

I worked it out to be 16.8 hope this helps

Answer: k = 75

Step-by-step explanation:

                360

                  ∧

             36   10

              ∧     ∧

           6  6   2  5

          ∧    ∧

        2 3  2 3

Prime factorization of 360 is: 2³ · 3² · 5

Since we want a perfect cube, every number must be to the power of 3.

That means we need  a 3 and 2 more 5s  to make a cube

k = 3 × 5 × 5

  = 75

Answer:

k = 75

Step-by-step explanation:

Factorize 360

360 = 36 * 10

      = 2 * 2 * 3 * 3 * 2 * 5

As 360k is cube number, k = 3 * 5 * 5

k = 75

360k = 360 * 75 = 27000 is a perfect cube

Answer:

x = 24°

Step-by-step explanation:

Lines JH and EG are the parallel lines and HF is a transverse.

∠JHF ≅ ∠HFE [Interior alternate angles]

m∠JHF = 2x

Since, m∠JHF = m∠JHG + m∠FHG

2x = m∠JHG + x

m∠JHG = 2x - x = x

Since m∠JHI + m∠JHG = 180° [Supplementary angles]

156° + m∠JHG = 180°

m∠JHG = 180 - 156

m∠JHG = 24°

x = 24°

Therefore, x = 24° will be the answer.

Answer:

53%

49%

1 2

Step-by-step explanation:

540 / (540+470) = 0.5346

452 / (470+452) = 0.4902

Digital downloads of Album 1 :

470 / (540+470) = 0.4653

Digital downloads of Album 2 :

452 / (571+452) = 0.4418

(would really, reallly appreciate the brainliest)

Answer:

x is equal to or greater then 3

Step-by-step explanation:

Answer:

X is equal to or greater than 3

Step-by-step explanation:

In the graph the curved arrow is pointed to the numbers below the line in the graph chart. Brainliest?

Hello I think the answer would be 7

An angle bisector, bisects an angle into two equal small angles

14 divided by 2 is 7

Hope this helps :)

The measure of each new angle will be 7°.

Since we are given the information that the original angle had a measure of 14 degrees, then when the angle is bisected, forming two new angles, we have to divide the original angle by 2. This will be:

= 14°/2

= 7°

Therefore, the measure of each new angle will be 7°.

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Answer:

31

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

Answer:

31 is greater

Step-by-step explanation:

I will solve your system by substitution.

x=3y−5;43=x+y

Step: Solve x=3y−5 for x:

Step: Substitute 3y−5for x in 43=x+y:

43=x+y

43=3y−5+y

43=4y−5 (Simplify both sides of the equation)

43+−4y=4y−5+−4y (Add -4y to both sides)

−4y+43=−5

−4y+43+−43=−5+−43 (Add -43 to both sides)

−4y=−48

(Divide both sides by -4)

y=12

Step: Substitute12foryinx=3y−5:

x=3y−5

x=(3)(12)−5

x=31(Simplify both sides of the equation)

Answer:

x=31 and y=12

31 is greater than 12

Answer: 720 I think

Step-by-step explanation: Because if there are 720 cubic units, you can only fit 720.

There will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

Given that, a rectangular prism has a volume of 720 cubic units, we need to find that, how many unit cubes would fill the volume with the solid if they were packed without any gaps or overlaps,

So, to find the same, we will divide the volume of the prism by the cube.

Volume of the cube = side³ = 1³ = 1

Therefore, number of cubes to be fitted = 720 / 1 = 720

Hence, there will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.

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Answer:

[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]

Step-by-step explanation:

The system would be:

[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]

And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)

Answer:

y = 8/5

Step-by-step explanation:

y /2 = 4/5

Multiply each side by 2

y/2 * 2 = 4/5 *2

y = 8/5

Answer:

square root of 3

Step-by-step explanation:

Use calculator

Answer:

E. 750 rounds to 800

Step-by-step explanation: first thing is to look at the tens value, numbers 1-4 get rounded down and numbers 5-9 get rounded up.

Answer:

E.  750 rounds to 800.​

Step-by-step explanation:

750 is halfway between 700 and 800, but when rounded to the nearest hundred, 750 is 800.

Answer:

OB) 2:1

Step-by-step explanation:

5 can go into 10 twice and 5 can go into itself once

Answer:

2:1

Step-by-step explanation:

10:5= 2:1

If you divide both numbers by 5:

10/5:5/5  it equals to 2:1

Answer:

in order to right to left

Step-by-step explanation:

4th

3rd

2nd

1st

The required functions are obtained as f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.

The inverse of a function y = f(x) is defined as a function having range as the domain of the function f(x) and domain as the range. Mathematically it can be written as f⁻¹(y) = x which implies that f⁻¹(f(x)) = x.

The given problem can be solved as follows,

(a) f⁻¹(x) = 5x

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = 5f(x)

=> x = 5f(x)

=> f(x) = x/5

(b) f⁻¹(x) = x³/2

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = f(x)³/2

=> x = f(x)³/2

=> f(x) = ∛(2x)

(c) f⁻¹(x) = x + 10

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = f(x) + 10

=> x = f(x) + 10

=> f(x) = x - 10

(d)  f⁻¹(x) = 3( x + 17)/2

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = 3( f(x) + 17)/2

=> 2x = 3( f(x) + 17)

=> 2x/3 = f(x) + 17

=> f(x) = 2x/3 - 17

Hence, the functions for the given inverse functions are  f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.

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Answer:

5b - 5a

Step-by-step explanation:

b(5 - a) = 5b - ab

- a(b - 5) = - ab + 5a

Subtracting gives

5b - ab - (- ab + 5a) ← distribute parenthesis by - 1

= 5b - ab + ab - 5a ← collect like terms

= 5b - 5a

Answer:

Step-by-step explanation:

Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 474

σ = 32

x = 514

The probability of being below 514 is expressed as P(x < 514)

For x = 514,

z = (514 - 474)/32 = 1.25

Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89

Therefore,

P(x < 514) = 0.89

Answer:

h(2x - 3) = 4x - 5

Step-by-step explanation:

If h(x) = 2x + 1

h(2x - 3) = 2(2x - 3) + 1 = 4x - 5

Answer:

[tex]1/3,[/tex]  [tex]3/8,[/tex]  [tex]2/5,[/tex]  [tex]3/7[/tex]

Step-by-step explanation:

[tex]3/7 \approx 0.42857142857[/tex]

[tex]1/3 \approx 0.33333333333[/tex]

[tex]2/5 = 0.4[/tex]

[tex]3/8 = 0.375[/tex]

Answer:

1/3,3/8,2/5,3/7

Step-by-step explanation:

Answer:

A = 144 in ^2

Step-by-step explanation:

To find the area

A = l*w

A= 9*16

A = 144 in ^2

Simply multiply the width (9) by the height (16) to get 144 inches squared.

Answer:

one halfk + 5

Step-by-step explanation:

The expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.

It is defined as the combination of constants and variables with mathematical operators.

A linear equation can be defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Jonah earned $5 more than half of Karen's salary, k

Let Jonah's salary is J

J = 5 + (1/2)k

Or

= (1/2)k + 5

The above expression represents Jonah's earnings and the expression is a linear expression.

Thus, the expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.

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