Part 1 out of 2
Your friend says that there is an angle whose measure is the same as the measure of the sum of its
supplement and its complement.
Is your friend correct? What is the measure of the angle?
the measure of its complement is
10, and the measure of its
The measure of the angle is
supplement is
Check
Next

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

To determine which method can be used to prove the similarity of the given triangles, use SAS, SSS, and AA.

To determine which method can be used to prove the similarity of the given triangles, let's briefly discuss each method:

a) SAS~ (Side-Angle-Side Similarity): If two sides of a triangle are proportional to two sides of another triangle, and their included angles are congruent, then the triangles are similar.

b) SSS~ (Side-Side-Side Similarity): If all three sides of a triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.

c) AA~ (Angle-Angle Similarity): If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Unfortunately, I cannot see the given triangles in your question, but based on the provided information, you can use these explanations to determine which method (SAS~, SSS~, or AA~) can be used to prove their similarity. If none of these methods apply, then similarity cannot be proved for the triangles.

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(a) The terminal point for -t = (34​, -53​), t + 2π = (34​, 53​), π - 1 = (-1, 0), t - π = (-34​, 53​).

(b) The reference number tbar = 415π(for t = 417π), tbar = 4(for t = 4), tbar = -79π(for t =-77π), tbar = 35π(for t=35π)

To obtain the terminal point determined by certain transformations of t, we need to use the properties of the unit circle.

Provided that (34​, 53​) is the terminal point on the unit circle determined by t, we can use this information to obtain the terminal point for each of the following:

(a) -t:

The terminal point determined by -t is the reflection of (34​, 53​) across the x-axis.

Therefore, the terminal point is (34​, -53​).

(b) t + 2π:

Adding 2π to t corresponds to making one complete counterclockwise revolution around the unit circle.

Since (34​, 53​) is already on the unit circle, making a complete revolution brings us back to the same point.

Therefore, the terminal point is still (34​, 53​).

(c) π - 1:

Subtracting 1 from π corresponds to moving 1 unit counterclockwise from the point on the unit circle determined by π.

Since π is the point opposite to (-1, 0), moving 1 unit counterclockwise gives us (-1, 0).

Therefore, the terminal point is (-1, 0).

(d) t - π:

Subtracting π from t corresponds to moving π units clockwise from the point determined by t.

Since (34​, 53​) is already on the unit circle, moving π units clockwise brings us to the point symmetric to (34​, 53​) across the y-axis.

Therefore, the terminal point is (-34​, 53​).

To determine the reference number tbar for each of the provided values of t, we need to obtain the angle that corresponds to each value on the unit circle.

(a) t = 417π:

To determine tbar, we need to obtain the reference angle that corresponds to 417π on the unit circle.

Since one complete revolution is equal to 2π, we can subtract 2π from 417π to get the reference angle.

Therefore, tbar = 417π - 2π = 415π.

(b) t = 4:

For t = 4, there is no need to determine a reference angle since the value itself is already in radians.

Therefore, tbar = 4.

(c) t = -79π:

To determine tbar, we need to obtain the reference angle that corresponds to -79π on the unit circle.

Since one complete revolution is equal to 2π, we can add 2π to -79π to get the reference angle.

Therefore, tbar = -79π + 2π = -77π.

(d) t = 35π:

To determine tbar, we need to obtain the reference angle that corresponds to 35π on the unit circle.

Since one complete revolution is equal to 2π, we can subtract 2π from 35π to get the reference angle.

Therefore, tbar = 35π - 2π = 33π.

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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An equation that shows the relationship between the two angle measure is 3x + 2 = 180 and the value of x is 59.

Let us consider the two supplementary angles with measures (x + 1) and (2x + 1). Since they are supplementary angles, we know that their sum is equal to 180 degrees. We can write this relationship between the two angle measures as an equation:

(x + 1) + (2x + 1) = 180

Simplifying this equation, we get:

3x + 2 = 180

Now, we can solve for x by isolating it on one side of the equation. To do this, we can subtract 2 from both sides of the equation:

3x = 178

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 59.33

Therefore, we should round the value of x to the nearest whole number, which is 59.

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Answer:

Yea, all these numbers are integers.

Step-by-step explanation:

- 51, - 203, - 28 are negative integers.

36 is a positive integer.

9514 1404 393

Answer:

  26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

  an = (a1)r^(n-1)

The first term is 4, so we have ...

  an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

  a9 = 4·(-3)^(9-1) = 4·3^8

  a9 = 26,244

_____

Additional comment

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.

A cylinder is a solid geometric figure which has two parallel, congruent bases.

The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.

In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.

This is true for both right cylinders and oblique cylinders.

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The value of the probability P(z < -2.6) is 0.0046612

From the question, we have the following parameters that can be used in our computation:

To calculate the probability P(z < -2.6), we make use of a graphing calculator

Using the above as a guide, we have the following:

P(z < -2.6) = 0.0046612

Hence, the value is 0.0046612

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Answer:

14

Step-by-step explanation:

Expression: Negative × Negative + Positive

Product: Positive

Answer: (-3 × -2) + 8 .

                     6  +  8  = 14

                                  14

Answer:

Each term in pattern B is 9 less than the corresponding term in pattern A.

No table and graph given for us to choose from.

Answer: bank owns smallest portion 1/20

Step-by-step explanation: Dave 1/4= 0.25 = 25 %. Delta 1/5 = 0.20 = 20%

And Alice 1/2 = 0.5 =50%. Bank owns 5% = 5/100 = 1/20

Therefore, the value of x is 26.

in geometry, an angle is a measure of the amount of rotation between two intersecting lines, or between a line and a plane. It is typically measured in degrees, with a full rotation equal to 360 degrees. Angles can also be measured in radians, which is another unit of angular measurement .Since ∠1 and ∠2 are supplementary, their sum is equal to 180 degrees. That is:

m∠1 + m∠2 = 180

Substituting the given values, we have:

124° + (2x+4)° = 180°

Simplifying this equation, we get:

2x + 128 = 180

Subtracting 128 from both sides, we have:

2x = 52

Dividing both sides by 2, we get:

x = 26

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\(( f: \math bb{N} \right arrow \math bb{Z} \) mit \( f(x)=(-1)^{x} \c dot x \)\)

The function f is not injective as for every x, \(f(x) = f(-x).f(-1) = -f(1) = -1 ≠ f(1) = 1.\)

Hence, f is not surjective too as there is no pre-image for -1 under f. Thus, f is not bijective.

\(( g: \math bb{Z} \right arrow \math bb{N} \) mit \( g(x)=|x| \)\)

The function g is not injective as \(g(-1) = g(1) = 1.\)

Therefore, g is not bijective as it is not injective.

( g \circ f: \math bb{N} \right arrow \math bb{N} \)The composition of surjective functions is always surjective.

As g is surjective and f is surjective on odd and even numbers, respectively, g ◦ f is surjective. The function g is not injective as \(g(-1) = g(1) = 1.\)Thus, g ◦ f is not injective. g ◦ f is surjective, but not injective.

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It came rude when I typed. so, I took screenshot for your answer.

The given equation are illustrations of trigonometry identities. The value of \(\sin^2\theta + \sin^4\theta\) is 1

Given that:

\(\cos \theta + \cos^2 \theta = 1\)

In trigonometry:

\(\sin^2 \theta + \cos^2\theta = 1\)

Rewrite as:

\(\sin^2 \theta = 1 - \cos^2\theta\)

Make \(\cos \theta\) the subject in \(\cos \theta + \cos^2 \theta = 1\)

\(\cos\theta = 1 - \cos^2 \theta\)

Compare \(\sin^2 \theta = 1 - \cos^2\theta\) and \(\cos\theta = 1 - \cos^2 \theta\)

\(\sin^2 \theta = \cos \theta\)

So:

\(\sin^2\theta + \sin^4\theta\) becomes

\(\sin^2\theta + \sin^4\theta = \sin^2\theta + (\sin^2\theta)^2\)

Substitute \(\sin^2 \theta = \cos \theta\)

\(\sin^2\theta + \sin^4\theta = cos\theta + (cos\theta)^2\)

\(\sin^2\theta + \sin^4\theta = cos\theta + cos^2\theta\)

Recall that: \(\cos \theta + \cos^2 \theta = 1\)

This means:

\(\sin^2\theta + \sin^4\theta = 1\)

Hence, the value of \(\sin^2\theta + \sin^4\theta\) is 1

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Three ponds of squid can be purchased at the market for $18

function table  such as 24,32, 40 years

The Luck Dragons that livein the Enchanted Forest weigh 4xpounds when they are x years old.

1.Function Rules

The result of the function 4 - x for the input 2 is 2

2.Writing Equations and Inequalities:

The convention attracted more than 2,500 attendees.

x > 250

3.Graphing Inequalities

She only received $64. x 64 GRAPH in wages.

4.Solving Inequalities

3v < 21

v < 7

Three ponds of squid can be purchased at the market for $18

function table  such as 24,32, 40 years

The function table definition is a visual, gridded table with cells for input and cells for output that are organized into rows and columns

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\( : \implies \sf 9x + 3 = - 33\)

\( : \implies \sf 9x = - 33 - 3\)

\( : \implies \sf 9x = - 36\)

\( : \implies \sf x = \dfrac{ - 36}{9} = - 4\)

\( \therefore \sf x = -4 \)

Answer:

x = 24

Step-by-step explanation:

T = 24.93 + 0.21x      Substitute 30.18 for T

30.18 = 24.94 + 0.21x

-24.94  - 24.94              Subtract 24.94 from both sides

5.24 = 0.21x                   Divide both sides by 0.21

x = 24.95 ≈ 24 because you can't have a partial text message.

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Answer:

8 is the square root of 64.

Step-by-step explanation:

I hope it's helpful!

Step-by-step explanation:

8 is the square root of 64 by prime factorization method

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

There are 720 different choices if order matters and there are 120 different choices if order does not matter.

a) If order matters,

The player can choose the first number in 10 ways (any of the digits 0-9), the second number in 9 ways (since one digit has already been chosen), and the third number in 8 ways (since two digits have already been chosen).

So the total number of choices is:

10 x 9 x 8 = 720

Therefore, there are 720 different choices if order matters.

b) If order does not matter,

We need to divide the number of choices by the number of ways the three numbers can be arranged.

Since there are 3 numbers, they can be arranged in 3! = 6 ways.

So the number of choices when order does not matter is:

(10 x 9 x 8) / 6 = 120

Therefore, there are 120 different choices if order does not matter.

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Ticket sales at this performance fell $1,100 below the goal of $2,350

Let's start by setting up a system of equations based on the given information. We know that the total revenue from ticket sales for one performance is $2,350. We also know that the number of adult tickets sold is d, and the number of student tickets sold is s. The price of an adult ticket is $6.50, and the price of a student ticket is $3.50. Finally, we know that the total number of tickets sold is 500.

Using this information, we can write the following system of equations:

d + s = 500 (equation 1)

6.5d + 3.5s = 2350 (equation 2)

We can use equation 1 to solve for one of the variables in terms of the other. For example, if we solve for s, we get:

s = 500 - d

We can then substitute this expression for s into equation 2:

6.5d + 3.5(500 - d) = 2350

Simplifying and solving for d, we get:

6.5d + 1750 - 3.5d = 2350

3d = 600

d = 200

So, 200 adult tickets were sold. We can use equation 1 to find the number of student tickets sold:

s = 500 - d

s = 500 - 200

s = 300

So, 300 student tickets were sold.

Now, let's consider the second part of the question. We know that at one performance, there were two times as many student tickets sold as adult tickets. Let's call the number of adult tickets sold at this performance a, and the number of student tickets sold b. Then we can write:

b = 2a (equation 3)

a + b = 300 (equation 4)

We can use equation 3 to substitute for b in equation 4:

a + 2a = 300

3a = 300

a = 100

So, 100 adult tickets were sold at this performance. We can use equation 3 to find the number of student tickets sold:

b = 2a

b = 2(100)

b = 200

So, 200 student tickets were sold at this performance.

To find out how much below the goal of $2,350 ticket sales fell, we can use equation 2 to calculate the total revenue from ticket sales at this performance:

6.5a + 3.5b = revenue

6.5(100) + 3.5(200) = 1250

So, ticket sales at this performance fell $1,100 below the goal of $2,350.

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Answer:

The answer is

\(y = \frac{8}{x} \)

Step-by-step explanation:

The above variation is written as

\(y = \frac{k}{x} \)

Where k is the constant of variation

y = 16 x = 1/2

\(k = yx \\ k = 16 \times \frac{1}{2} \\ k = 8\)

So the expression for y in terms of x is

\(y = \frac{8}{x} \)

Hope this helps you.

Answer:

Inequality form: x < 1

Step-by-step explanation:

Answer:

3.33 minutes

Step-by-step explanation:

first know that the escalator can move 30 people in 1 minute.

then, we can write in a mathematical expression as:

30 people = 1 minute

100 people = ? minutes.

cross multiply, i.e. 30×? = 100×1

therefore, ? = 100/30

? = 3.33 minutes.

therefore, it's going to take 3.33 minutes for the escalorr to take 100 people.

Answer:

Step-by-step explanation:

1) Let quarters be x and nickels be y.

Equations based on given, 48 coins, total of $6 = 600c:

Substitute y in the second equation, y = 48 - x

Then value of y is:

2) Similarly to problem 1.

Substitution: y= 20 - x

Then finding y: