L = (15,15) M = (13,5) N= (-3,-3)

What is the equation of the median from vertex N to LM?

The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.

One spinner has three equally sized sectors labeled R, S, and T.

A second spinner has two equally sized sectors labeled 3 and 5.

Then the total number of the event will be

Total event = 3 × 2

Total event = 6

Then the sample space will be

\(\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.\)

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Answer:

61

Step-by-step explanation:

straight line = 180 degree

to find the measure of angle QPR,

subtract 119 from 180

=>            180-119

=>            61

angle QPR = 61 degree

Answer:

Hope the picture will help you!!

correct value of x will 9 if Maggie corrected her mistake.

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0. The variables x and A in this situation are variables, whereas B is a constant.

Applying the parallel line theorem

alternate angles are always equal -

therefore ,

 4x + 2 = 7x - 25

27 = 3x

x = 9

so , the correct value of x will be 9 if maggie corrected her mistake

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The first five terms of the recursively defined sequence given by a1=5; an+1=16−an are: 5, 11, 5, 11, 5. This can be answered by the concept of arithmetic progression.

To find the second term a2, we use the recursive definition and substitute n=1:

a2=16-a1 = 16-5 = 11.

To find the third term a3, we use the recursive definition and substitute n=2:

a3=16-a2 = 16-11 = 5.

To find the fourth term a4, we use the recursive definition and substitute n=3:

a4=16-a3 = 16-5 = 11.

To find the fifth term a5, we use the recursive definition and substitute n=4:

a5=16-a4 = 16-11 = 5.

Therefore, the first five terms of the recursively defined sequence are 5, 11, 5, 11, 5. We can see that the sequence oscillates between 5 and 11, with each term depending on the value of the previous term.

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∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs by the Transitive Property of Congruency.

This states that, if a pair of lines or angles or triangles are said to be congruent to a third line or angle, therefore, the first line or angle or triangle is said to be congruent to the third line or angle.

∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs by the Transitive Property of Congruency. because the two angles and the other side of the angle/triangle are said to be equal to two angles and other side of the other triangle.

∠IKC ≅ ∠JLD, so m∠IKC = m∠JLD  and as such angle is Applying the  Transitive Property of Congruency because  if A =b, and b = c then A = c and therefore, the above is true.

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Answer:

32

Step-by-step explanation:

1. find f(3) = 2x + 5

a) y = 2(3) + 5

b) y = 6 + 5

c) y = 11

2. find g(2) = 3x² + 2x + 5

a) y = 3(2)² + 2(2) + 5

b) y = 3(4) + 4 + 5

c) y = 12 + 4 + 5

d) y = 21

3. add f(3) + g(2)

a) 11 + 21

b) = 32

Answer:

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

180 − ( 90 + 40 )

180 − 130

50

50 degrees is the missing angle in the triangle

The given triangle is right angle triangle

One angle is 90 degrees and the other angle in the triangle is 40 degrees

We have to find the missing angle in the triangle

By angle sum property the sum of the three angles is 180 degrees in the right triangle

Let x be the missing angle

90+40+x=180

130+x=180

Subtract 130 from both sides

x=180-130

x=50 degrees

Hence, the missing angle in the triangle is 50 degrees

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Answer:

So i actually had the same question last year and a friendo sent me the answer its not mine originally so please dont give me brainliest but i hope this helps you, just like it helped me

Step-by-step explanation:

Answer:

-50x-5

Step-by-step explanation:

Use the distributive property:

-5(10x+1)

-50x-5

-50x-5 is your simplified answer.

\(\huge \bf༆ Answer ༄\)

Let's solve the question for Teeny ~

Answer:

8:16 and 7:14

Step-by-step explanation:

5:10 is a 1 to 2 ratio and so are 8:16 and 7:14

Answer:

8:16 and 7:14

Step-by-step explanation:

It is a half and half ratio

The water depths can be modeled by a sinusoidal function. So the value of period is 18 hours, amplitude is 14.5, maximum is 24, equation of the midline is 10, and minimum is -4.

The tide at an Eastern seaport is at its maximum at 3 a.m.

High tide is 24 ft deep.

Low tide occurs at 9 a.m. with a depth of 4 ft.

We have to determine the period.

Period = time between two consecutive high tides

Period = 2 × Time between high and low tide

Time between 3 a.m. and 9 a.m. is 6 hours.

Period = 2 × 6

Period = 18 hours

We have to determine the Amplitude.

Amplitude = (High - Low)/2

Amplitude = (24 - (-5))/2

Amplitude = (24 + 5)/2

Amplitude = 29/2

Amplitude = 14.5

We have to determine the Maximum.

The maximum tide is 24.

We have to determine the Equation of the midline.

Equation of the midline = (max + min)/2

Equation of the midline = {24 + (-4)}/2

Equation of the midline = (24 - 4)/2

Equation of the midline = 20/2

Equation of the midline = 10

We have to determine the minimum.

The minimum tide is -4.

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The complete question is:

The tide at an Eastern seaport is at its maximum at 3 a.m. High tide is 24 ft deep. Low tide occurs at 9 a.m. with a depth of 4 ft. The water depths can be modeled by a sinusoidal function. Allow x=0 to represent midnight

Find the following and make sure to show work for the midline and amplitude:

period=

Amplitude=

Maximum=

Equation of the midline:

minimum:

Answer:

11/14

Step-by-step explanation:

Answer:

11/14

Step-by-step explanation:

\(\frac{3}{7} *\frac{2}{2}+\frac{5}{14}*\frac{1}{1} \\\frac{6}{14} +\frac{5}{14} =\frac{11}{14}\)

The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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Applying the angles addition postulate, m<KJL = 132°.

The Angles Addition Postulate is a fundamental property of angles in geometry that explains how to find the measure of an angle that is formed by two adjacent angles. According to this postulate, the measure of the larger angle, which is formed by two adjacent angles, is equal to the sum of the measures of the two smaller adjacent angles.

Given the following:

m <1 =79°

m<2 = 53°

Thus, we have:

m<KJL = m<1 + m<2

Substitute:

m<KJL = 79 + 53

m<KJL = 132°

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The angles m∠1 = 79° and m∠2 = 53° make up the angle m∠KJL and the measure of m∠KJL = 132°.

We can observe that the angles m∠1 and m∠2 are between the angle m∠KJL hence the sum of the two angles m∠1= 79° and m∠2 = 53° will give the measure of m∠KJL as follows:

m∠1 + m∠1 = m∠KJL

79° + 53° = 132°

m∠KJL = 132°

Therefore, the angles m∠1 = 79° and m∠2 = 53° make up the angle m∠KJL and the measure m∠KJL = 132°

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Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Answer: ∠1 = 90°

Step-by-step explanation:

      There are a few steps we will take to solve this problem. In each step, I will write an equation to help us solve, then use inverse operations to solve.

      First, we will use the exterior angles theorem to find the measurement of ∠3 (this will help us solve for ∠2, then for ∠1).

89° = 51° + ∠3

∠3 = 38°

      Next, we will find the measurement of ∠2 since we know ∠2 plus ∠3 is 90 degrees, as shown by the perpendicular lines and the box.

90° = ∠3 + ∠2

90° = 38° + ∠2

∠2 = 52°

      Lastly, we will solve for ∠1. We know that there are 180 degrees in a triangle.

180° = 38° + ∠1 + ∠2

180° = 38° + ∠1 + 52°

180° = 90° + ∠1

∠1 = 90°

Answer:

90

Step-by-step explanation:

I started by finding angle 5

180 - 89 = 91  Supplemental angles

Then I found angle 3

The sum of the interior angles of a triangle is 180

180-89-91 = 38

Angle2 and 3 are complementary angles

90- 38 =52

the sum of the interior angles of a triangle is 180

Angle 1

180 - 52 - 38 = 90

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6 - n = 6 - (-#) = 6 + n

3 (6n) = greatest value

Answer:

It's b as far as I know.

Step-by-step explanation:

cause you should trust me because you only have 30 mins

Answer:

2x^2y(x^2y^2 − 6xy − 4)

Step-by-step explanation:

Yes , if we double the no. of fluid ounces then , the amount of cups will double also.

It is given that there are 8 fluid ounces in 1 cup.

We have to check does the amount of cups gets doubled  , if we double the amount of fluid ounces.

What do you mean by unitary methods ?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

As per the question ;

In 1 cup , no. of fluid ounces = 8

So ;

If we double , the no. of fluid ounces , i.e.,

= 8 × 2

= 16

Then ;

The no. of cup will be equal to

= 16 ÷ 8

= 2 cups

Thus , if we double the no. of fluid ounces then , the amount of cups will double also.

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Answer:

True

Step-by-step explanation:

A cylinder has two circles as its bases, and the diameter formula is:

2r = d

So if you plug in:

2r = 18

---    ---

2     2

r = 9

So it will be true.

Hope this helped.

Answer:

B. 2.2 kilometers

Step-by-step explanation:

⭐What is the change in the cyclist's elevation?

Thus, we need to solve for the value of the height (x) of the hill.

Notice that the hill is in the shape of a right triangle. In order to find an unknown side length for right triangles, we need to use a trigonometric function.

⭐What is a trigonometric function?

First, let's see what kind of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length of 10km, which is the hypotenuse of the triangle, and we are given a side length of x, which is the opposite of θ (13°).

Therefore, we will use the trigonometric function sin(θ) to solve for x.

Substitute the side lengths and angle measures we are given:

\(sin(13) = \frac{x}{10}\)

Set the equation equal to x:

\(10sin(13) = x\)

Solve for x. I recommend using a scientific calculator (e.g. Desmos Scientific Calculator):

\(2.2 = x\)

∴ The cyclist's change in elevation is 2.2 kilometers.

The probability that the mean number of forks dropped during the 80 days will be more than 25 is approximately 0.0885 or 8.85%.

We'll be using the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the population's distribution.

In this case, we have a multimodal distribution with a mean (μ) of 24.5 and a standard deviation (σ) of 3.3.

We want to find the probability that the mean number of forks dropped in a sample of 80 days (n) will be more than 25.
Calculate the standard error of the mean (SE).
SE = σ / √n = 3.3 / √80 ≈ 0.369.

Calculate the z-score for the desired mean (25) using the formula:
z = (x - μ) / SE = (25 - 24.5) / 0.369 ≈ 1.35
Find the probability that corresponds to the z-score.
Using a z-table or an online calculator, we find that the area to the left of z = 1.35 is approximately 0.9115.

Since we want the probability of the mean being more than 25, we'll take the complement:
Probability (mean > 25) = 1 - 0.9115 ≈ 0.0885.

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Reaction time refers to the time it takes for someone to respond to a stimulus. It's composed of two components: perception time and decision time.

The time it takes to move your foot from the gas pedal to the brake pedal can be estimated using the formula r=(5 m/s2 )=t1/2 , and the total reaction time is t1+t2. The acceleration magnitude, -a0, can be calculated using this formula: -a0 = Δv/t.

When we use the negative sign in front of the acceleration magnitude, we indicate that it is directed in the opposite direction of motion.

To calculate how far the car in front of you will travel before it stops, use the formula s = vi*t + 0.5*a*t2. The average velocity during this time interval is the displacement divided by the time.

Using the values from parts A and B, the distance you travel before applying the brakes is 44 meters, and the total distance you travel before stopping is 70 meters.

If you do not detect that the car in front of you is braking for one second, you will travel an additional 28 meters.

The recommended safe distance to stay behind a car at 60 mph is 3 car lengths.

The question deals with estimating the reaction time of a driver and the distance one would travel before coming to a halt in an emergency.

It is important to know the reaction time because it can help reduce the number of accidents caused by a driver's lack of responsiveness.

The formula r = (5 m/s2) = t1/2 can be used to estimate the time it takes to move one's foot from the gas pedal to the brake pedal.

This reaction time is composed of two components: perception time and decision time. When a driver detects a stimulus and decides how to react, these two components are used.

The magnitude of acceleration, -a0, can be calculated using this formula: -a0 = Δv/t.

When we use the negative sign in front of the acceleration magnitude, we indicate that it is directed in the opposite direction of motion. This formula assumes that the acceleration is constant, which is reasonable for small time intervals.
The distance that the car ahead of you will travel before stopping can be calculated using the formula s = vi*t + 0.5*a*t2, where s is the distance traveled, vi is the initial velocity, t is the time it takes to stop, a is the acceleration, and t2 is the time it takes to travel s meters.
The average velocity during this time interval is the displacement divided by the time.

To calculate the distance you travel before applying the brakes, use the formula s = vt + 0.5*a*t2. In this case, the distance is calculated using the driver's reaction time, which is t1 + t2.

If you do not detect that the car in front of you is braking for one second, you will travel an additional 28 meters. This suggests that drivers should be cautious and keep a safe distance from the vehicle in front of them to avoid accidents. The recommended safe distance to stay behind a car at 60 mph is 3 car lengths.

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Answer:

x = 12

Step-by-step explanation:

Step 1: Add 9 to both sides.

Step 2: Divide both sides by 7.

Step 3: Check if solution is correct.

Therefore, x = 12.

Answer:

x = 12

Step-by-step explanation:

This is a multi-step equation.

The first thing we can do is add 9 to both sides, eliminating the -9 from the left side of the equation. Now we have 7x = 84.

You can divide 84 over 7x to get a total of x =12.

Using the concept of the sine function, the bracket made an angle of 51.37° with the wall.

The sine of an angle is represented by the trigonometric function sin x, where x is the angle under consideration. The ratio between a right-angled triangle's perpendicular and the hypotenuse is known as the sine function. In other words, the hypotenuse is the ratio of the side opposite to the angle being discussed, and its value changes as the angle do. The sine function is used in physics to depict sound and light waves.

Use the trigonometric function sinθ = perpendicular/ hypotenuse

From the given figure, in accordance with ∠x

Perpendicular = 2.5 ft

Hypotenuse = 3.2 ft

So, sinx = 2.5/ 3.2

sinx =  0.78125

x = sin⁻¹(0.78125)

x = 51.37°

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Answer:

  a.  $110,700

Step-by-step explanation:

You want to know the value of a $141,000 house after 15 years, if it declines in value 1.6% each year.

The value multiplier each year is ...

  1 - 1.6% = 1 -0.016 = 0.984

When the house value is multiplied by this factor 15 times, it becomes ...

  $141,000×0.984^15 ≈ $110,700

Russell's house is worth about $110,700.

Answer:

a. Point S

b. Line segment PT and Line segment ST

c. PSQRU

d. Lines PR and SQ

e. Plane C and Plane QRS

Step-by-step explanation:

Answer:

because the answers 0 -

Explanation:

15 x 0 x (13+7)

= 15 x 0 x 20

= 0 x 20

= 0