Given that ∠A≅∠B, Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?


m∠A=10° and m∠B=15°

m∠A=45° and m∠B=45°

m∠A=30° and m∠B=60°

m∠A=25° and m∠B=25°

Answer:

0.667

Step-by-step explanation:

Step-by-step explanation:

hope it helps

Answer:3611

Step-by-step explanation:

157

x 23

do 157 x 3

add them one at a time. 157x carry the 3 and the two, oh and don’t forget to add 0 in the end after wards.

7x3:21 (carry the 2 leave the 1)

5x3: 17(leave 7, carry one)

3x1+1: 4

you get 471

now let’s do 2

do 157 x 2 to get 314

ok now add zero to the last one to get: 3140+471 and u get ur answer!

the answer is C

I took the test

Answer:

C: Soro should have reversed the inequality symbol when using the division property of inequality.

Step-by-step explanation:

Got correct on EDG

Pls mark me brainliest

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

<95141404393>

The amount of money raised by the 10th graders at the bake sale using the expression 0.75•c + 0.5•p, selling 60 cupcakes and 75 cake pops is $82.5

The expression for the amount of money raised is M = 0.75•c + 0.5•p

From a similar question posted online, the amount of money raised where for example 60 cupcakes and 75 cake pops are sold is required.

Based on the equation, the selling prices are;

Cupcakes, c = 75¢

Cake pops, p = 50¢

The amount of money raised is therefore;

M = 0.75 × 60 + 0.5 × 75 = 82.5

Therefore;

Learn more about equations here:

https://brainly.com/question/22688504

#SPJ1

The reasons for the statements are explained below

As a general rule:

All circles are similar

This means that a big circle can be dilated from a small circle and vice versa

Haven established that the circles are similar, we have

R = k * r

Where

k is the constant of proportion

So, we have

R = kr

This is the formula for the length of the arc

This means that the length of arc of the big circle is the scale factor (k) multiplied by the length of arc of the small circle

Because the circles are similar

We have

R = kr and L = kl

Divide both equations

R/L = kl/kr

Divide through by k

R/L = l/r

Hence, I/r = R/L

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

Answer:

It is false and true

Answer:

y=2x

Step-by-step explanation:

So it meets the y axis at 0 to there is no y intercept needed to be put into the equation

The line goes up by 2 and across by 1 so the gradient = 2/1 = 2

So: y = 2x

The given problem is about finding the linear speed of a vehicle when each of its tire has a diameter of 32 inches and is moving at 800 revolutions per minute. In order to solve this problem, we will use the formula `linear speed = (pi) (diameter) (revolutions per minute) / (1 mile per minute)`.

Since the diameter of each tire is 32 inches, the radius of each tire can be calculated by dividing 32 by 2 which is equal to 16 inches. To convert the units of revolutions per minute and inches to miles and hours, we will use the following conversion factors: 1 mile = 63,360 inches and 1 hour = 60 minutes.

Now we can substitute the given values in the formula, which gives us:

linear speed = (pi) (32 inches) (800 revolutions per minute) / (1 mile per 63360 inches) x (60 minutes per hour)

Simplifying the above expression, we get:

linear speed = 107200 pi / 63360

After evaluating this expression, we get the linear speed of the vehicle as 5.36 miles per hour. Rounding this answer to the nearest tenth gives us the required linear speed of the vehicle which is 5.4 miles per hour.

Therefore, the linear speed of the vehicle is 5.4 miles per hour.

Know more about linear speed here:

https://brainly.com/question/30397189

#SPJ11

Answer:

36

Step-by-step explanation:

30+20%=36

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

Learn more about square matrix here:

https://brainly.com/question/27927569

#SPJ11

======================================

Work Shown:

1 inch = 0.35 miles

3.5*(1 inch) = 3.5*(0.35 miles)

(3.5*1) inches = (3.5*0.35) miles

3.5 inches = 1.225 miles

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

Another way to solve:

(1 inch)/(0.35 miles) = (3.5 inches)/(x miles)

1/0.35 = 3.5/x

1*x = 0.35*3.5

x = 1.225

Answer:

f(x)= x^2-3x+7

(-1)^2-3(-1)+7

1+3+7

11

Step-by-step explanation:

A directional test (>) one sample t-test was conducted. The results was t (30) = 3.99. We can reject the null. The null hypothesis can be rejected based on the given information.

Based on the given information, the test statistic (t-value) is 3.99, which indicates a significant difference between the sample mean and the hypothesized population mean.

In a directional one-sample t-test, the null hypothesis states that the population mean is equal to a specific value. However, since the calculated t-value is large and falls in the rejection region, it provides evidence against the null hypothesis.

Therefore, the appropriate decision is to reject the null hypothesis and conclude that there is a significant difference between the sample mean and the hypothesized population mean.

To know more about t-test refer here:

https://brainly.com/question/1189751#

#SPJ11

Answer:

800

Step-by-step explanation:

If we are given that:

To solve for n, add 5 to both sides.

Next, solve for n

Answer:

B. 5.25 IN3

Step-by-step explanation:

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

\(r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)

Which means that option E is correct.

The volume of a cube of side length l is given by:

\(V = l^3\)

For Cube A, the volume is of 9 cubic inches, hence:

\(l_a^3 = 9\)

\(l_a = \sqrt[3]{9}\)

\(l_a = 9^{\frac{1}{3}}\)

\(l_a = 3^{\frac{2}{3}}\)

For Cube B, the volume is of 5 cubic inches, hence:

\(l_b^3 = 5\)

\(l_b = \sqrt[3]{5}\)

\(l_b = 5^{\frac{1}{3}}\)

Then, the ratio is:

\(r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)

To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

To learn more about optimal cost visit:

brainly.com/question/32634756

#SPJ11

Hey there! I'm happy to help!

Here's how to find the slope given any two points.

Subtract the y values.

14-(-18+-14+18=32

Subtract the x values.

-6-2=-8

And divide those.

32/-8=-4

The slope is -4.

Have a wonderful day! :D

The extraneous solution of the equation x - 1 = √x + 1 is x = 0

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

x - 1 = √x + 1

Take the square of both sides

So, we have

x² - 2x + 1 = x + 1

Evaluate the like terms

x² - 3x = 0

So, we have

x(x - 3) = 0

Solving for x, we have

x = 3 and x = 0

Substitute x = 3 and x = 0 in x - 1 = √x + 1

3 - 1 = √3 + 1

2 = 2 ---- true

0 - 1 = √0 + 1

-1 = 1 ---- false

Hence, the extraneous solution is x = 0

Read more about extraneous solution at

https://brainly.com/question/16234285

#SPJ1

Answer:

19

Step-by-step explanation:

Answer:  when it is morning time to get up and you put your clothes and your shoe and your backpack and your  coat and you wait for the bus

Step-by-step explanation:

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

To learn more about smallest angle refer to:

https://brainly.com/question/12260821

#SPJ1