Which single function can be used to determine the length of BC? :v

From the properties of similarity, the value of x is 24.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image. More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other. This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.

By comparing corresponding sides of the shapes, we get that

6/9 = 14/21 = 2/3

So that,

16/x =2/3

multiply both sides by 3/2 we get,

(16/x)*(3/2) = 1

multiply both sides by x we get,

16*3/2 = x

⇒ x = 48/2

⇒ x = 24

To learn more about similarity visit:

brainly.com/question/13831330

#SPJ1

The inverse of function f(x) when f(x) = -2 is f¯¹(x) = 2x + 3.So, the correct option is D.

To find the inverse of a function, we switch the x and y variables and solve for y. So, if f(x) = -2, we have:
x = -2
y = f(x) = -2
Switching x and y, we get:
x = f¯¹(y)
y = -2
Solving for f¯¹(y), we get:
f¯¹(y) = 2y + 3
Therefore, the inverse of f(x) when f(x) = -2 is f¯¹(x) = 2x + 3.
To find the inverse of a function, we need to swap the input (x) and output (f(x)), and then solve for the new input. Given f(x) = -2, let's find the inverse:
1. Swap the input and output: x = -2
2. Solve for the new input: Since the function f(x) is a constant function and doesn't involve x, the inverse of f(x) when f(x) = -2 is f¯¹(x) = 2x + 3.
Therefore, Option D is the correct inverse of f(x).

For more such questions on  inverse of function , Visit:

https://brainly.com/question/3831584

#SPJ11

Answer:

1 = 1000

0.43 L = _________ mL

0.43 * 1000 = 430 mL

430 mL is the answer.

Hope this helps

Answer:

3) Associative Property

4) 0

5) -3 + (5 + 8) + (-1)

Hope this Helps!

Answer:

3) it is Associative Property

4) 0

5) 3rd

Answer:

X = 5

Step-by-step explanation:

break it down man

Answer: \(-\frac{43}{6}d - \frac{1}{8}\)

Step-by-step explanation:

Convert everything to improper fractions:

\((-\frac{10}{3}d+\frac{3}{4}) - (\frac{23}{6}d-\frac{7}{8}) \\\)

Multiply right side by two to get common denominator and distribute negative sign on to both terms in the second set of parenthesis:

 \(-\frac{20}{6}d+\frac{6}{8}-\frac{23}{6}d-\frac{7}{8}\)

Combine like terms:

\(= -\frac{43}{6}d-\frac{1}{8}\)

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

Learn more about area of rectangle on:

https://brainly.com/question/23677609

Answer:

5/4 > 5/6

Step-by-step explanation:

The solution to all the algebra expressions are:

28) 2³/₁₆

29) 6000

30) 132

28) The area of the rectangle formed by Shana's rug is given by the expression:

Area = Length * Width

Thus:

Area = 2⁵/₈ * ⁵/₆

= ²¹/₈ * ⁵/₆

= 35/16

= 2³/₁₆

29) We are given the number 2641.

Now, from right:

1 is in the units place

4 is in tens place

6 is in hundreds place

2 is in thousands place

If we switch 2 and 6, we will have:

6241 and as such 6 represents 6000

30) The expression is given as:

90 + 7 * (7 - 1)

Using PEMDAS order of operation gives us:

90 + 7(6)

= 90 + 42

= 132

Read more about Algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

The value of x in the equation 4 x plus 8 y equals 40 is 8.4

The equation is given as:

4 x plus 8 y equals 40

Rewrite the equation as:

4x + 8y = 40

The value of y is 0.8.

So, we have:

4x + 8 * 0.8 = 40

Divide through by 4

x + 2 * 0.8 = 10

Evaluate the product

x + 1.6 = 10

Subtract 1.6 from both sides

x = 8.4

Hence, the value of x in the equation 4 x plus 8 y equals 40 is 8.4

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Step-by-step explanation:

the numbers : x, y

x = 11 + 2y

x + y = 7y - 1

we use the first equation in the second :

11 + 2y + y = 7y - 1

12 + 3y = 7y

12 = 4y

y = 3

x = 11 + 2y = 11 + 2×3 = 11 + 6 = 17

Answer:

62.1371192237

Step-by-step explanation:

Just remeber that one kilometer per hour is equal to 0.62 mph and that one mile per hour is equal to 1.60934 kilometers per hour.

The speed limit of a car on the highway is 62.1 miles/hour.

Given that;

While on a road trip to Canada, you rent a car and discover that the speed limit on the highway is 100km/hr.

We have to find the equivalent speed in miles/hour.

What is relation between miles and hour?

Relation between miles and hour is;

1 kilometer = 0.621 miles.

The speed limit of the car on the highway = 100 km/h

Since, 1 kilometer = 0.621 miles.

Hence,

100 kilometer/hour = 100 x 0.621 miles/hour

                             = 62.1 miles/ hour

So, The speed limit of a car on the highway is 62.1 miles/hour.

Learn more about the conversion of units visit:

https://brainly.com/question/13208356

#SPJ2

Answer:

7200

Step-by-step explanation:

7000

200

the seven is in thousand spot and 2 is in hundreds spot

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

Learn more about points on a plane here: https://brainly.com/question/31404411

#SPJ1

The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

C

Step-by-step explanation:

line XOZ is 180°

so when 52°+x=180

180-52=128

x=128

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Triangles can be divided into three groups, called scalene, isosceles, and equilateral, depending on how long their sides are.Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

Here,

< D = \(90^{0}\)

< C = \(45^{0}\)

< B = \(52^{0}\)

< A = \(45^{0}\)

Therefore

< BDC = \(180^{0}\)

< \($\mathrm{DAC}=$\) \(180^{0}\)

\($\angle A C D=$\)  \(180^{0}\)

\(< DCB =\) \(180^{0}\)

To learn more about triangle angles refer to :

https://brainly.com/question/1058720

#SPJ1

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

4x - (x + 3) +5(2x - 8) = 4x + x*(-1) + 3*(-1) + 2x * 5 + (-8) * 5

                                  = 4x - x - 3 + 10x - 40 {combine like terms}

                                  = 4x - x + 10x - 3 - 40

                                 = 13x - 43

Answer:

13x-43

Step-by-step explanation:

have a spectacular day! <3

Answer: 2/3

Step-by-step explanation: Cancel the common factor of 8 and 12 which is 2/3.  Divided by common denominator which is 4.

8 divided by 4 = 2

12 divided by 4 = 3

so 2/3 is the answer

Answer:

slope=0

hope this helps

have a good day :)

Step-by-step explanation:

The maximum possible number of parasites for the class containing the value 47 is equal to 50.

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table or histogram.

Mathematically, the class width of a data set can be calculated by using this formula:

Class width = max - min

Where:

Based on the histogram above, the class width with a value of 47 is given by;

Class width = 45 to 50

Therefore, the maximum (upper) possible number is 50.

Read more on histogram here: https://brainly.com/question/30194859

#SPJ1

Please explain more. What should I solve step by step?

According to the figure the required lengths are

BD = 7 units

BC = 9.9 units

The required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.

Also,  the perpendicular bisector creates another angle 45 degrees at angle B.

hence we another right triangle with a leg as 7 units hence BD is 7 units

solving for BC

BC = BA

BC² + BA² = CA²

BC² + BC² = 14²

2 x BC² = 196

BC² = 98

BC = √(98)

BC = 9.9 units

Learn more about right triangle at

https://brainly.com/question/2217700

#SPJ1

you wrote ehte question wrong

Answer:

D

Step-by-step explanation:

I got it right in edg2020

Your question is incomplete. But the following graph describes the equation you have given.

Which graph represents z = (–3 + 4i) – (2 + i).

The graph which represents z = (–3 + 4i) – (2 + i) is attached with this answer.

We have,

z = (–3 + 4i) – (2 + i)

Now,

Simplify this given expression of complex number ;

i.e.

z = (–3 + 4i) – (2 + i)

z = -3 + 4i - 2 - i

We get,

z =  -5 + 3i

Now,

We will graph this z =  -5 + 3i complex number on cartesian coordinate,

So,  

In cartesian coordinate when we graph any complex number then the constant value i.e. (-5) is represented on the x-axis and the imaginary value i.e. (3i) will be on the y-axis.

Learn more about the complex number here:

https://brainly.com/question/10251853

#SPJ10

Answer:

C:0.24

Step-by-step explanation:

Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)

If this answer helped you, give this answer a heart and rate it.

Thanks!

Answer:

440

Step-by-step explanation:

average of two middle values is 440

(425 + 455) / 2 = 440