Proportions in Similar Triangles find the value of x

Answer:

Would the answer be 9?

Step-by-step explanation:

Use PEMDAS.
3/1/3=1
9-1-8
8+1=9

\(9 - 3 \div \frac{1}{3} + 1\)

you can follow the PEDMAS rule where,

P= Parenthesis

E= Exponents

D= Division

M= Multiplication

A= Addition

S= Subtraction

\(3 \div \frac{1}{3} = 1\)

\(9 - 8 = 1\)

\(8 + 1 = 9\)

Answer:

B.

linear function

linear term: -2x

constant term: –2

Step-by-step explanation:

Find the degree of the equation to determine if linear.

Linear

Find the constant of variation.

y

doesn't vary directly with  

x

Hello,

Multiplying (x-1) by (4x+2) the term in x² is x*4x=4x².

If we substract 4x² the term of y in x² will be 0.

The function is not quadratic.

Since 4x*(-1)+2*x=-2x (product of terms in x) : the function is thus linear.

Constant term is -1*2=-2

f(x) = (3x+2)(-6x-3) Use the FOIL method to multiply out the factors: f(x) = -18x2 - 9x - 12x -6 Combine like terms: f(x) = -18x2 -21x - 6

The function is quadratic ax^2+bx+c. ax^2=quadratic.  

bx=linear.  

c=constant.

The number of tennis rackets sold by dealer for $18 is 120.

Let "x" be the number of tennis rackets that sell for $18 each.

Then, 200 - x be the number which sell for $33 each.

The total cost is $4,800.

18x + 33(200 - x) = 4800

18x + 6600 - 33x = 4800

-15x = -1800

x = 120

Thus, the number of tennis rackets sold by dealer for $18 is 120.

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Answer:

36cm^2

Step-by-step explanation:

Break it apart into rectangles/squares where you can figure out what the length of at least two sides are for each.

Then multiply and get the area of the smaller area.

Then add the areas up.

You're basically just breaking it down into smaller shapes, then adding the different parts back together.

a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

3 dozen cookies

Step-by-step explanation:

Let x = dozen of cookies using .75 cups of sugar

Equation is \(\frac{1.25}{5} = \frac{.75}{x}\)

1.25x = 5(.75)

1.25x = 3.75

x = 3 dozen cookies

Answer:

h = \(-\frac{17}{6}\)

Step-by-step explanation:

7 + 2(1 + 6h) = -25

Distribute,

7 + 2 + 12h = -25

Simplify,

7 + 2 + 12h = -25

9 + 12h = -25

-9            -9

12h = -34

/12      /12

h = \(-\frac{17}{6}\)

Equation that represents the total number of minutes y Emily studied for the math exam is y = 40 +x.

We can represent the total number of minutes Emily studied for the math exam using the equation,

y = 40 + x

Here, 'y' represents the total number of minutes Emily studied for the math exam, '40' represents the number of minutes she studied in the morning, and 'x' represents the number of minutes she studied later that evening.

By adding the number of minutes studied in the morning to the number of minutes studied later that evening, we can calculate the total number of minutes Emily studied for the math exam.

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Answer:

180 degrees

Step-by-step explanation:

East and west are two opposite directrions along the same line.

The angle is 180 degrees.

Answer: 180°

Step-by-step explanation: The directions on a compass would look something like this; (Refer to the image.)

A full circle is 360°. Half of 360 is 180. You would have to make a clockwise rotation by 180° to face West. Think of this picture as a clock or a circle.

I hope this helps!

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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To obtain a straight line relationship in the equation h = a * t, you need to consider the choices of variables that result in a linear equation. In this equation, h represents the dependent variable (y-axis) and t represents the independent variable (x-axis). Here are the choices of variables that will give you a straight line relationship:

If a is a constant and does not vary with t, then the equation represents a straight line. In this case, as t increases or decreases, h will change linearly, resulting in a straight line on a graph.

If h and t are directly proportional, meaning that the ratio h/t remains constant, then the equation will represent a straight line. This implies that for each increase or decrease in t, h will change by the same proportion.

It's important to note that in both cases, a constant value of a or a direct proportionality between h and t will result in a linear relationship. Any other variations or nonlinear relationships between a and t may not yield a straight line.

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Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Answer:

Therefore , Total no of ways to fill the 3-digits number is = 3*3*3 =27 . So, we can make 27 different 3-digits number using these numbers 1 ,5 ,7 by arranging them in 27 different waysStep-by-step explanation:

Answer: 2446

Step-by-step explanation:

Answer:

−5^2x2+8x−15

Step-by-step explanation:

Hope it helps!

Answer:

8

see image for work

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

5%

Step-by-step explanation:

1400/28000=0.05

Test

5%*$28,000=$1400

Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

Answer:

D

Step-by-step explanation:

\(s=\frac{a+b+c}{2}\)

multiply s with 2

2s=a+b+c  or a+b+c=2s

move +b+c to the other side

a=2s-b-c

The Newton's method is applied to solve the equation x³ - a = 0, where a > 0, with an initial guess xo > 0. The convergence order of the Newton's method is typically 2, but it needs to be justified.

The Newton's method is an iterative numerical method used to approximate the solutions of equations. In this case, we are applying the Newton's method to solve the equation x³ - a = 0, where a > 0, with an initial guess xo > 0.

The Newton's iteration formula for this equation is given by:

Xk+1 = Xk - f(Xk)/f'(Xk),

where f(X) = X³ - a and f'(X) is the derivative of f(X).

To determine the convergence order of the Newton's method, we need to analyze the behavior of the method as it approaches the solution. Typically, the convergence order of the Newton's method is 2, meaning that the number of accurate digits approximately doubles with each iteration.

To justify the convergence order of 2, we would need to analyze the behavior of the function f(X) and its derivative f'(X) near the solution. By examining the behavior of these functions and their derivatives, we can determine if the Newton's method converges with an order of 2 for the given equation.

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Step-by-step explanation:

0.75g = 0.0015

250g = $5.50

Answer:

7.15 C.

Step-by-step explanation:

Answer:

y = -4

x = 6

Solution:

7x + 11y = -2 [1]

7x + 3y = 30 [2]

[1] - [2],

8y = -32

y = -4

(use substitution method to find x)

substitute y = -4 into [2],

7x + 3y = 30

7x + 3(-4) = 30

7x - 12 = 30

7x = 30 +12

7x = 42

x = 6

To calculate the covariance between the combined claims before and after a surcharge, we need to use the given expectations and variance to find the appropriate values and substitute them into the covariance formula.

To calculate Cov(C, C2), we need to use the following formula:Cov(C, C2) = E(C * C2) - E(C) * E(C2)

First, let's find E(C * C2):

E(C * C2) = E((X + Y) * (X + 1.2 * Y))

Expanding the expression:

E(C * C2) = E(X^2 + 2.2 * XY + 1.2 * Y^2)

Using the given values for E(X^2), E(Y^2), and Var(X + Y), we can calculate E(C * C2):

E(C * C2) = 27.4 + 2.2 * Cov(X, Y) + 1.2 * 51.4

Next, let's find E(C) and E(C2):

E(C) = E(X + Y) = E(X) + E(Y) = 5 + 7 = 12

E(C2) = E(X + 1.2 * Y) = E(X) + 1.2 * E(Y) = 5 + 1.2 * 7 = 13.4

Finally, we can calculate Cov(C, C2):

Cov(C, C2) = E(C * C2) - E(C) * E(C2)

Substituting the values we calculated:

Cov(C, C2) = 27.4 + 2.2 * Cov(X, Y) + 1.2 * 51.4 - 12 * 13.4

Simplifying the expression will give the final result for Cov(C, C2).

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Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 is $132,943.60. Therefore, the correct answer option is B.

To calculate the total cost of raising a child from birth to 17 years in a household with a weekly income of $1211, we must first convert the weekly income to an annual income. 1211 x 52 = 62,772.

Next, we substitute the annual income, x = 62,772, into the equation y = 1.55x + 110,419 to get:

y = 1.55(62,772) + 110,419

y = $132,943.60

Therefore, the correct answer option is B.

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