Use the diagram to the right to answer the
following questions.
a. Using parallel line relationships, find the value of
x. Use the relationship between the two marked
angles to set up your equation.
Show your work to support your answer. (

Answer:

Step-by-step explanation:

I want to tell you something go to the App Store and download this app it’ll help you a lot it’s called (Cymath) it will give you the answers for any question you want and it will explain for you step by step and thank you !

Answer:

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Step-by-step explanation:

Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D

So, If ∠A = 20°, then So, also ∠C = 20°.

Therefore,

⠀

And, ∠A and ∠B are adjacent angles. We know,

So,

⇒ ∠A + ∠B = 180°

⇒ 20° + ∠B = 180°

⇒ ∠B = 180° – 20°

⇒ ∠B = 160°

So,

⠀

So, If ∠B = 160°, then So, also ∠D = 160°.

Therefore,

Answer:

Look it out for me

Step-by-step explanation:

The main answer is f(-5) = 122.  To evaluate the function, we substitute -5 for x in the expression for f(x):

f(-5) = 4(-5)² + 62 - 2

= 4(25) + 60

= 122

Therefore, the value of the function at x=-5 is 122.
To evaluate the function f(x) = 4x² + 62 - 2 at f(-5), follow these steps:

Step 1: Write down the function.
f(x) = 4x² + 62 - 2

Step 2: Replace x with -5 in the function.
f(-5) = 4(-5)² + 62 - 2

Step 3: Calculate the value of the function.
f(-5) = 4(25) + 62 - 2

Step 4: Perform the operations.
f(-5) = 100 + 62 - 2

Step 5: Complete the calculation.
f(-5) = 160

f(-5) = 160

By substituting x with -5 in the function f(x) = 4x² + 62 - 2 and following the steps, we find that the value of the function at f(-5) is 160.

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Answer:

let cost of one banana be x and cost of one apple be y.

so,   2x+y=1.16 --> a

      x  + y = 0.71 -->b

   now subtracting b from a , we get the result as,  

      x =  0.45

so , y will be   0.71 - 0.45=  0.26  (from b)

so, cost of one apple will be (i.e y) = £0.26

Hope this helps:)

The Solutions of the equation 27x² + 5 = 48x  are x = 1/9 ,  x = 5/3 .  .

In the question ,

it is given that ,

the equation is 27x² + 5 = 48x ,

we have to find the solution for it ,

27x² + 5 = 48x

rewriting it , we get ,

27x² - 48x + 5 = 0

27x² - 45x + 5 = 0

27x² - 3x - 45x + 5 = 0

Simplifying further , we get ,

3x(9x - 1) -5(9x - 1) = 0

taking (9x-1) common from both the terms ,

(9x - 1)(3x - 5) = 0

So , either (9x - 1) = 0 or (3x - 5) = 0

x = 1/9 or  x = 5/3

Therefore , the solution of the given equation are x = 1/9 ,  x = 5/3 .

The given question is incomplete , the complete question is

Solve the equation by factoring. check your solution. if there are multiple solutions, list the solutions from least to greatest separated by a comma.

27x² + 5 = 48x  .

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Answer:

x = −3 TRUSSSSSSTTTT MEE

Step-by-step explanation:

The system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

The given parameters are

Length = Not more than 12 inches

Perimeter = Less than 30 inches

"Not more than" means less than or equal to

So, we have

l ≤ 12

The perimeter of a rectangle is

P = 2l + 2w

So, we have

2l + 2w = Less than 30 inches

"Less than" is represented with <

So, we have

2l + 2w < 30

Hence, the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30

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Answer:

a. I ≤ 12
    2l + 2w < 30

Step-by-step explanation:

i got it right on edge.

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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Input:           Output:

2                  5

8                  11

10                13

26                29

i hope this helped! :D

Answer:

Step-by-step explanation:

Multiples of 16:

Multiples of 8:

First multiple of 16 is 16.

Second multiple of 8 is 16.

The LCM of 8 and 16 is 16.

Multiply the numerator and denominator by the conjugate of the denominator:

\(\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}\)

Simplify:

\(\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}\)

Answer:   h=12.8in

a Base edge 15   in

V Volume 960  in³

Using the formula

V=a2h

3

Solving for h

h=3V

a2=3·960

152=12.8in

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

\(g(f(x))=x \\ \\ g'(f(x))f'(x)=1 \\ \\ g'(f(x))=\frac{1}{f'(x)} \\ \\ g'(f(x))=\frac{1}{\cos x+2} \\ \\ g'(f(0))=\frac{1}{\cos(0)+2} \\ \\ g'(1)=\frac{1}{3}\)

Hey there!

One thing we can do to get an equivalent expression is to divide both sides by 3. That would get us \(\frac{-81x+27}{3}\). If we simplify this, we get \(-27x+9\).

Another thing we can do is divide both sides by 27, because it is divisible by 27. That would get us \(\frac{-81x+27}{21}\). If we simplify this, we get \(-3x+1\).

One last thing we can do is multiply it by 1, and add zero, because that does not change it at all. That would give us \(1(-81x+27)+0\).

Have a terrificly amazing day! :D

Answer:

7-5=2

2+4=6

2×6=12

you always work the Parenthesis 1st

Answer:

the answer is m = 1/2

Step-by-step explanation:

Use Symbolab I use it all the time it gives correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol)

hope this helps :)

First step is wrong (x-2) × 3x³ should be 3x⁴ - 6x³

not 6x²

Answer:

y = 11

Step-by-step explanation:

A horizontal line passes through every single x - value, but only 1 y - value.

A vertical line hits every y-value and only 1 x-value.

The only y-value given is 11, so the equation is y = 11

-Chetan K

The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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Based on the tree diagram and the independence of the events, we can conclude that the events represented in the diagram are independent events.

To determine if the events are dependent or independent, we need to examine the branches of the tree diagram and check if the outcomes of one event affect the outcomes of the other event.

In the given tree diagram, the selection of colors for the cubes is represented by different branches. Each branch represents an independent event because the outcomes of selecting one color do not affect the outcomes of selecting another color.

The probabilities associated with each branch can be multiplied to calculate the probability of a specific sequence of events indicating that they are independent.

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Answer:

18+6=24

Therefore, hiker is 24 miles far away from the camp

(a) The iterative rule to model the sequence formed by the profits of Margarite's boutique each year is:

Profit[n] = Profit[n-1] + (0.0456 * Profit[n-1])

where Profit[n] represents the profit in the nth year, and Profit[n-1] represents the profit in the previous year.

(b) To determine the predicted annual profits of Margarite's boutique 13 years from the start of her business, we can apply the iterative rule:

Profit[13] = Profit[12] + (0.0456 * Profit[12])

We start with the initial profit of $32,575 from the first year:

Profit[1] = $32,575

Then, we can calculate the profits for each subsequent year using the iterative rule:

Profit[2] = Profit[1] + (0.0456 * Profit[1])

Profit[3] = Profit[2] + (0.0456 * Profit[2])

...

Profit[12] = Profit[11] + (0.0456 * Profit[11])

Finally, we can calculate the predicted profit for the 13th year:

Profit[13] = Profit[12] + (0.0456 * Profit[12])

Performing the calculations will give us the predicted annual profit for the 13th year.

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Answer:

A) 10th of August

B) $1780.03

Step-by-step explanation:

A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month

From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August

B) The payment amount will be 2% off the original payment amount

The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36

The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03

The payment amount assuming Melissa pays before the end of the discount period = $1780.03.

Answer:

Yes

Step-by-step explanation:

They would be perpendicular

I used the site, desmos to graph them.

Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is true.

¬p(2, 2) is true.

We are given the predicate p(x, y) and the universe for the variables x and y is {1, 2, 3}. The truth values of p(x, y) are explicitly given for specific values of x and y.

p(1, 2): Since we don't have this specific value given in the provided information, we assume it is false.

p(1, 1): Similarly, since we don't have this specific value given, we assume it is false.

p(3, 3): Again, since we don't have this specific value given, we assume it is false.

p(2, 1) ∨ p(3, 1): We check the truth value of both statements individually and apply the logical OR operation. From the given information, p(2, 1) is true and p(3, 1) is true. So, the overall statement is true.

p(1, 3) ∧ p(2, 3): We check the truth value of both statements individually and apply the logical AND operation. From the given information, p(1, 3) is true and p(2, 3) is false. So, the overall statement is false.

¬p(2, 2): The negation of p(2, 2) is evaluated. Since p(2, 2) is true according to the given information, its negation is false.

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is false.

¬p(2, 2) is false.

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The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.

A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.

Some characteristics of confidence interval are-

Now, according to the question;

The confidence level is given 97%.

Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:

\(P(-2.17 < Z < 2.17)=0.97\)

Therefore the obtained probability for the z-score of 2.17 is 0.97.

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