Two right triangles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle

First thing to do is to plot the points into the rectangular coordinate system.

and join the points with a straight line.

The image will be :

It shows that the opposite sides are parallel to each other without a 90 degree angles.

So Option A and D will be eliminated.

A rhombus is a parallelogram that has 4 equal sides.

Let's check the side lengths using the distance formula

Distance between C(5, 4) and D(0, 4) :

Distance between B(4, 0) and C(5, 4) :

Since the sides are not equal. Option C is also eliminated.

Therefore, the answer is Choice B. Parallelogram

.No, the strong negative association does not support the idea that beavers benefit beetles.

The solution is as follows:

The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.

There is a weak negative linear relationship.

Correlation is : -0.916; Slope: -1.286; Intercept: 3.452

The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.

For more questions like Beetls association click the link below:

https://brainly.com/question/26883723

#SPJ4

Answer:

The cental angle = 135º

Step-by-step explanation:

The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

More can be learned about the law of cosines at brainly.com/question/4372174

#SPJ1

Answer:

42 in each basket 4 leftover

Step-by-step explanation:

6 divided by 256 = 42 R4 and the remainder is how many are leftover.

Answer:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions. did this help?

Answer:

Bonds

Step-by-step explanation:

A bond is a fixed-income instrument that represents a loan made by an investor to a borrower (typically corporate or governmental).

9514 1404 393

Answer:

  1.12 times as great

Step-by-step explanation:

The speed from Boston is ...

  (210 mi)/(4 2/3 h) = 45 mi/h

Then the speed to Boston is ...

  50.4/45 = 1.12 . . . times as great

__

The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.

9514 1404 393

Answer:

 1.12 times as great

Step-by-step explanation:

The speed from Boston is ...

  (210 mi)/(4 2/3 h) = 45 mi/h

Then the speed to Boston is ...

  50.4/45 = 1.12 . . . times as great

__

The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.

Answer:

1/2 and 3/4

Step-by-step explanation:

First, let's look at the pattern of the fractions.

Each fraction is increasing by 1/4.

1/4 = 2/8

2/4 = 4/8

We know that 5/8 is in between 4/8 and 6/8 because 5 is in between 4 and 6.

Since we now know want fractions 5/8 is in between, all we have to do is convert.

4/8 = 2/4 (as is mentioned on the top)

6/8 = 3/4

Note: On the number line, 2/4 is referred to as 1/2...

Therefore, 5/8 is in between 1/2 and 3/4.

-kiniwih425

Answer:

I think its A

Step-by-step explanation:

1. The first thing to do is to carry out the two respective multiplications;

2.Now we divide both results, leaving the first result as a dividend and the shortest result as a divisor.

452 ÷ 21 is equal to \($21 \frac{11}{21}$\).

What is  Quotient?

When we divide a number, the result we ultimately obtain is the quotient. Division is a mathematical operation that involves dividing items into equal groups. It is represented by the symbol (÷). For instance, three groups of 15 balls each need to be equally split. Therefore, the division formula is 15 3 = 5 when we divide the balls into three equal groups. Here, the quotient is 5, so. This implies that there will be 5 balls in each group.

\($\frac{452}{21}=21$\) Remainder 11

Convert to mixed number: Quotient= \($\frac{\text { Remainder }}{\text { Divisor }}$\)

\($\frac{452}{21}=21 \frac{11}{21}$\)

\($=21 \frac{11}{21}$\)

To learn more about Quotient visit:https://brainly.com/question/16134410

#SPJ1

Answer:

3.33%

Step-by-step explanation:

Rate = 100xSI / PxT

P = 1000

SI = 100

T = 3

Rate = 100 x 100 / 1000 x 3 = 3.33%

\(\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}\)

Given

The length of a ramp is 276 ft .

The circular base barrel turns 46 times in being rolled up the ramp.

Explanation

To find the diameter of the circular base.

The length covered by barrel is equal to the circumference of the circle .

Therefore, we can write as

Use the relation of diameter and radius to find the diameter.

Substitute the value of radius to find the diameter.

Also the number of times the barrel turns is 46 .

And the relation between number of times the barrel turns, length of barrel and length of ramp is

Answer

Hence the diameter of the circular base is 1.91 ft.

The shaded area above the line y = -x + 3 and below the line -2x + y = -1 is the solution region of the system that is option A.

A graph is a visual representation of data or mathematical concepts. It is a diagram that shows how variables or quantities relate to each other, often using points, lines, bars, or other symbols. In mathematics, a graph can be used to represent a set of points or a function, where the x-axis represents the input values and the y-axis represents the output values. A graph can show the shape of a function, its range, its domain, and other important features.

Here,

To graph the system, we can first graph the boundary lines of the two inequalities.

For the first inequality, y > -x + 3, we can draw the line y = -x + 3 and shade the area above the line. This is because the inequality is y > -x + 3, which means that all points above the line satisfy the inequality.

Next, for the second inequality, -2x + y < -1, we can draw the line -2x + y = -1 and shade the area below the line. This is because the inequality is -2x + y < -1, which means that all points below the line satisfy the inequality.

To know more about graph,

https://brainly.com/question/29070347

#SPJ1

30/5 is equal to 6

this is your x-intercept

30/3 is equal to 10

this is your y-intercept

I think you know what to do now :)

(0,10) and (6,0)

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

Step-by-step explanation:

3. the answer should be -68

5.-8.97

Answer:

Step-by-step explanation:

\(\displaystyle\\\left \{ {{5x+2y=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop {-0.5x-y=7.5\ \ \ \ \ \ \ \ |\cdot2}} \right. \\\\\\\left \{ {{5x+2y=9} \atop {-x-2y=15}} \right. \\+\\--------\\4x=24\ \ \Rightarrow\ x=24:4\Rightarrow\ x=6\\\\y=-0.5x-7.5=-0.5\cdot6-7.5=-3-7.5=-10.5\\\\\boxed{(x;y)=(6;-10.5)}\)

Answer:

d 42.73

Step-by-step explanation:

if you were to round off the first 3 you wouldn't get 42.7 due to them not being above 5, but, if you were to round off 42.73 you would get 42.7 due to 3 being lower than 5 and it changing into 0

The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

Read more about composite function here:https://brainly.com/question/10687170

#SPJ1

Answer:

x = 14

Step-by-step explanation:

To solve this problem, we must remember that the addition of two angles that create a straight line should have a sum of 180 degrees.

From this information, we can create the following equation.

(7x - 1) + (6x - 1) = 180

Eliminating the parentheses and grouping like terms gives us:

(7x + 6x) + (-1 + -1) = 180

Simplifying inside the parentheses on the left side produces:

13x - 2 = 180

Next, we should add 2 to both sides to isolate the variable term:

13x = 182

Finally, we should divide by 13 to get the x by itself on the left side of the equation:

13x/13 = 182/13

x = 14

Therefore, the answer to your question is x = 14.

Hope this helps!

Answer:

x = 14

Hope it helps u

plz mark it as brainlist

Answer: 14/24 or 7/12

Step-by-step explanation: keep on dividing 2 or just divide by 4

Answer:

Step-by-step explanation: