right triangles to find the exact length of:
T
30°
14 in
a) TI = in
60°
R

The side |rs| is congruent to side |ac| which is 14 ft.

Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.

The figures from the textbook illustrate that following rotation, the two triangles are congruent.

This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.

Therefore:

Learn more about congruent triangles here:

https://brainly.com/question/1675117

#SPJ1

The solution to the system of linear equations is: (−5, −11).

The solution to a system is the x and y -coordinates that satisfies the two linear equations.

Given the linear equations:

Line A: y = x − 6

Line B: y = 3x + 4

Now, equating these two equations

x - 6 = 3x + 4

2x = -10

x = -5

y = -11

Hence, the solution is: (−5, −11), because the point satisfies both equations.

Learn more about solution to a system here:

brainly.com/question/13729904

#SPJ1

Answer:

p(3) = 25

Step-by-step explanation:

p(3) = 2(3 - 12)2+5

p(3) = 6 - 24 + 2 + 5

p(3) = 25

Answer:

0.015

Step-by-step explanation:

0.15% = 0.0015

{transfer}

The margin of error is inversely proportional to the sample size. As the sample size increases, the margin of error decreases.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The margin of error is given as

[tex]\rm ME = z\times \sqrt{\dfrac{p(1-p)}{n}}[/tex]

We know that margin of error is inversely proportional to the sample size.

As the sample size increases, the margin of error decreases.

More about the margin of error link is given below.

https://brainly.com/question/6979326

#SPJ1

The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°

From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;

∠KNU 1/2 * 100 = 50°

This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.

Read more about quadrilateral angles at; https://brainly.com/question/27420229

#SPJ1

Answer:

y=5+14=19

Step-by-step explanation:

Y=5+14=19 this is the right answers

Using the line of best fit, the amount of texts a 15-year old would send in a day is of 67.69.

It gives the expected number of texts a person of an age a would send in a day, according to the following function:

t = -1.63a + 92.14.

For a person that is 15 years old, we have that a = 15, hence the expected number is given by:

t = -1.63 x 15 + 92.14 = 67.69 texts.

More can be learned about line of best-fit at https://brainly.com/question/17261411

#SPJ1

Answer:

56%

Step-by-step explanation:

If the percentage that she wont win is 44% she still has a 64 percent chance of winning

Answer:

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

Step-by-step explanation:

y = 10x + 1

(Table)

x:      y:

-5  |

-1   |

0   |

1    |

y = -10(-5) + 1

y = 50 + 1     (if you multiply a negative by a negative it will be positive)

y = 51

y = -10(-1) + 1

y = 10 + 1

y = 11

y = -10(0) + 1

y = 0 + 1

y = 1

y = -10(1) + 1

y = 10 + 1

y = 11

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:

1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.

2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.

In conclusion, x = 3.

From the diagram, a circle is formed because D. The plane passes through only one nappe of a circular one and is parallel to its base.

The plane given only passes through one nappe instead of the two nappes.

The angle that the plane passes the nappe is parallel and not perpendicular to the base of the nappe as shown in the diagram.

The plane does not pass through the vertex which is the point where the planes.

Find out more on conic sections at https://brainly.com/question/14558036.

#SPJ1

Answer:

A

Step-by-step explanation:

becaauss im smart and trust me im smart

Answer:

Step-by-step explanation:

y + 4 = 1/3(x - 0)

y + 4 = 1/3x - 0

y = 1/3x - 4

Step-by-step explanation:

i answered it , and tried to give explanation too...

hope its helpful ,

Answer:

A

Step-by-step explanation:

Cylinder volume= V = π r ^2 h

So you times Pie by the radius (diametre divided by two- 3.5) you then square this. After that, times it by the height (10)

So the volume is 384.85.

You then find 30% of this, so times 384.85 by 30%.

You then get an answer of 115.455, and this is equal to A.

I hope this helps, have a lovely day.

Answer:

2 [tex]\leq[/tex] x [tex]\leq[/tex] 7

Step-by-step explanation:

See attachment.

Based on the alternative hypothesis, the value of μ that will have the greatest test power is μ = 7.

The alternative hypothesis is that Hₐ : μ < 14.

For the alternative hypothesis to be right, μ will have to be less than 1.4.

μ will also give a greater test power the lower it is below 14. From the options therefore, μ with the greatest test power would be 7.

Find out more on alternative hypothesis at https://brainly.com/question/14016208.

#SPJ1

Answer:

μ = 7

Step-by-step explanation:

Got this right on the segment exam. Good luck, my FLVS fellows!

The events that are cyclical are:

The  events that are  periodic are:

Cyclical events are known to be event that occurs in a specific order e.g. Changes in the economy.

The Events that take place only after a regular interval of time are known to be periodic event.

Therefore, the events that are cyclical are:

The  events that are  periodic are:

Learn more about Cyclical events from

https://brainly.com/question/17720206

#SPJ1

The equation of the scenario is y = 8 + 0.25x and the domain is x ≥ 0 and the range is y ≥ 8

The given parameters are:

Let the total cost be y, and the number of people be x.

The equation would be:

y = Entrance + Rate * x

This gives

y = 8 + 0.25x

Hence, the equation of the scenario is y = 8 + 0.25x

Set x = 0 to 5, and calculate the function values

y = 8 + 0.25 * 0 = 8

y = 8 + 0.25 * 1 = 8.25

y = 8 + 0.25 * 2 = 8.50

y = 8 + 0.25 * 3 = 8.75

y = 8 + 0.25 * 4 = 9.00

y = 8 + 0.25 * 5 = 9.25

So, the table of values is:

x    y

0    8

1      8.25

2     8.50

3     8.75

4     9.00

5    9.25

The domain is the set of people that can get in (i.e. at least 0), while the range is the total amount (i.e. at least the entrance fee)

Hence, the domain is x ≥ 0 and the range is y ≥ 8

Read more about linear functions at:

https://brainly.com/question/14323743

#SPJ1

The amount that was invested 17 years ago is $2064.25.

The interest earned is  $7935.75.

The formula that would used to determine the amount that was invested 17 years ago is:

P = FV / (1 + r)^nm

Where:

10,000 / (1.0475)^(17 x 2) = $2064.25

Interest earned = 10,000 - 2064.25 = $7935.75

To learn more about future value, please check: https://brainly.com/question/18760477

#SPJ1

Answe

Step-by-step explanation:

cuanto es 3,072 en fraccion ?

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

The correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

Therefore the correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

Using a calculator, the critical value of the t-distribution that should be used for a 95% confidence interval with 20 observations is of t* = 2.0930.

A calculator is used, with two inputs:

In this problem, we have a 95% confidence interval, with 20 - 1 = 19 df, hence the critical value is of t* = 2.0930.

More can be learned about the t-distribution at https://brainly.com/question/16162795

#SPJ1

Using it's concept, it is found that the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this problem, the function is fraction given by:

[tex]f(x) = \frac{3}{x + 5}[/tex]

At the denominator, we have that:

x + 5 = 0 -> x = -5

Hence the vertical asymptote of the function [tex]f(x) = \frac{3}{x+5}[/tex] is of x = -5.

More can be learned about asymptotes at https://brainly.com/question/16948935

#SPJ1

Answer: A) x= -5

Took the test and got 100% :)

Answer:

ab<6 units

Step-by-step explanation:

One of the basic property of any triangle is that the sum of the length of any two sides of a triangle is always greater than the length of the third side. Here we are given a triangle abc, in whicn bc=4ac= 8-abIf have to make some conclusion about ab.As per the property discussed above ab<ac+bcab<8-ab+42ab<12ab<6Hence the length of ab must be less than 6 units