Identify the angle or side that is common to triangle SUT and triangle SVT


A. B. SV


C. D. ST

Answer:

d

Step-by-step explanation:

Layer 1 and Layer 4 are approximately the same age.

The geological structure of the earth's crust can be analyzed by studying the layers of sedimentary rocks. These layers represent various geological periods in the history of the Earth and provide information on the events that have occurred throughout time.

The Khan Academy is an online platform that offers various courses and lessons on different subjects, including geology. The different layers of the earth's crust are named and classified according to their age, composition, and position in the crust. The layers of the earth's crust are as follows:

Layer 1: The surface layer or the soil. It is the layer that contains the organic matter that supports plant growth.

Layer 2: The subsoil, which is composed of partially decomposed organic matter and clay.

Layer 3: The layer of weathered rock. It is the layer that has been altered by the action of water and wind.

Layer 4: The solid bedrock that is composed of igneous, metamorphic or sedimentary rocks. This layer is considered to be the oldest layer of the earth's crust.

Layer 5: The asthenosphere, which is a semi-solid layer of the upper mantle.

Layer 6: The mantle, which is the thickest layer of the earth's crust. The two layers that are approximately the same age are layer 1 and layer 4. Layer 1, which is the surface layer or the soil, is relatively young and is formed by the accumulation of organic matter.

On the other hand, layer 4 is the solid bedrock that is composed of igneous, metamorphic or sedimentary rocks. This layer is considered to be the oldest layer of the earth's crust.

Therefore, layer 1 and layer 4 are approximately the same age.

For more questions on Layer .

https://brainly.com/question/31298922

#SPJ8

Answer: The answer is (0,–2).

Step-by-step explanation:

Answer:

x=9 feet

Step-by-step explanation:

i think the value of x is 9 ft

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

To know more about perimeter , visit:

https://brainly.com/question/25092270

#SPJ1

i am garbage dont listen to the old answer

Answer:

Son is 3. Father is 33.

Step-by-step explanation:

Let the present age of the son be 'x' years.

Then father's age will be (x + 30) years

Given : After 12 years, the father will be three times as old as his son. Therefore,

(x + 12)3 = x + 30 + 12

3x + 36 = x + 42

3x - x = 42 - 36

2x = 6

x = 3

The present age of son is 3 years and the present age of the father is 3 + 30 = 33 years.

Answer:D. They have tried many things, including, petitions, argument, pleas to parliament and to the crown

Step-by-step explanation:

Answer:

w=0

Step-by-step explanation:

We know a point (3,1) and the slope (-8/3), so we can use point-slope form, which is y-y1=m(x-x1)

For reference, y1 is the y in the point, m is the slope, and x1 is the x in the point

So we subsitute it

y-1=-8/3(x-3)

do distributive prop.

y-1=-8/3x+8

add 1 to both sides

y=-8/3x+9

This is the equation of the line.

Now to find w, which is the x value.

The point will pass through line, so we can susbtitute the point into the equation.

9=-8/3x+9

subtract 9 from both sides

0=-8/3x

multiply by -3/8 on both sides (the reciprocal of -8/3), we need to isolate x

0=x

x=w

therefore, w=0

Hope this helps!

Answer:

So the number is -48

Step-by-step explanation:

Lets say that the number is x

(x /6)+12=4

       x/6=-8

          x=-48

Answer:

hope it helps

Step-by-step explanation:

I hope u can understand

Answer:

x = 18

Step-by-step explanation:

In order for a triangle to be a triangle, all angles must add up to 180.

This means that we can create an equation to solve for x, using the angles given.

180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms

180 = 60 + 6x + 12

180 = 72 + 6x

108 = 6x

18 = x

Answer:

cost = 35+0.55*m

Step-by-step explanation:

let miles = m

cost = 35+0.55*m

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

The trainer is using the technique of shaping to train the lion to jump through a hoop. Shaping is a method of operant conditioning where desired behaviors are gradually achieved by reinforcing successive approximations of the target behavior.

The trainer is using shaping to train the lion. Shaping involves rewarding small steps or behaviors that are closer and closer to the desired behavior, gradually shaping the lion's behavior towards the ultimate goal of jumping through the hoop. The trainer starts by reinforcing simpler behaviors, such as walking near the hoop, and then progressively rewards more complex behaviors, like walking through the hoop, until the lion successfully jumps through the hoop.

Shaping is a technique derived from operant conditioning, a type of learning where behaviors are strengthened or weakened by the consequences they produce. By using positive reinforcement, in the form of rewards, the trainer motivates the lion to continue exhibiting behaviors that lead to the desired outcome. Through shaping, the lion learns to associate the hoop with positive reinforcement and is gradually shaped to perform the complex behavior of jumping through the hoop.

Learn more about operant conditioning here:

brainly.com/question/29662644

#SPJ11

Answer:

The correct option is;

Q and v

Step-by-step explanation:

The line of best fit can be found by the dividing area method through the  following steps;

1) The dots in the plot are divided into equal number of dots on both sides of a dotted line through S

2) By eye judgement, mark the center of the data dots on each side of the dotted line for example points Q and V

3) Draw a line through the graph passing through point Q and V to get the best fir line.

Answer:

Q V

Step-by-step explanation:

If wrong please tell me so I can fix my answer for you guys.

:)))

a. To reach a savings goal of $180,000 by your 18th birthday, assuming starting from your first birthday and earning a 6.5% annual return, your parents would need to save a fixed amount each year.

b. If they adjust their goal to $220,000 and assume a five-year college duration, the annual savings required would change.

a. To calculate the amount your parents would need to save each year to reach the goal of $180,000, we can use the concept of present value. The present value (PV) of the savings should equal the future value (FV) of $180,000, given an annual interest rate of 6.5% and a time period of 17 years (from your first to 18th birthday). By using the formula for calculating present value of an annuity, we can determine the required annual savings amount.

b. If your parents adjust their goal to $220,000 and consider a five-year college duration, the time period would change from 17 years to 16 years (from your first birthday to the year before your 18th birthday). Using the new future value of $220,000 and the same interest rate of 6.5%, the required annual savings amount can be recalculated.

To obtain the specific annual savings amount in both scenarios, the calculations can be done using financial formulas such as the present value of an annuity formula or by utilizing financial calculators or spreadsheets.

Learn more about Interest Rate here

https://brainly.com/question/19756730

#SPJ11

As the actual probability is greater than 68%. The statement "p(z < 1) < 68%" is false.

According to the empirical rule (also known as the 68-95-99.7 rule), approximately 68% of the observations in a standard normal distribution fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

Since the statement is asking for the probability that the random variable z is less than 1, we need to find the area under the standard normal curve to the left of 1.

This represents the probability of z being less than 1.

Using the empirical rule, we know that within one standard deviation of the mean, which is 0 for the standard normal distribution, approximately 68% of the data lies.

Therefore, the probability P(z < 1) is less than 68%.

To find the precise probability, we can use a standard normal distribution table or a statistical software.

Consulting the table or using software, we can determine that P(z < 1) is approximately 0.8413 or 84.13%.

Therefore, the statement "p(z < 1) < 68%" is false. The actual probability is greater than 68%.

To know more about probability refer here:

https://brainly.com/question/29381779#

#SPJ11

Answer: 15 m

Step-by-step explanation:

Given

Total volume of the combined pyramid is \(V=2700\ mm^3\)

Height of top and bottom pyramid is

\(h_t=16\ mm\)

\(h_b=20\ mm\)

If the base has a side length of x, its area must be \(x^2\)

Volume of square prism is given by

\(\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm\)

Thus, the value of \(x\) is 15 m.

Answer:

i can't sorry

Step-by-step explanation:

Answer:

a= $9

Step-by-step explanation:

a = dog food, b = cat food

1a + 2b= 25

2a + 1b = 26

2a + 4b=50

2a + 1b = 26

2a - 2a = 0

4b - 1b = 3b

50 - 26 = 24

3b = 24

b = $8

1a + 2(8) = 25

25-16 = 9

a= $9

The end behavior of \(y=-3x^4+5x^2+3x-1\) is the direction as the x values changes

The power function that best describes the end behavior of the polynomial is \(y = -3x^4\)

The function is given as:

\(y=-3x^4+5x^2+3x-1\)

The above function is a 4th degree polynomial with a negative leading coefficient.

This means that:

The long-run behavior of the polynomial function is that: As x approaches infinity, the function approaches negative infinity.

\(\mathbf{i.e.\ as \ x \to \infty, \ f(x) \to -\infty}\)

The function that would have the above end behavior is another 4th degree polynomial with a negative leading coefficient.

From the options, we have:

\(y = -3x^4\)

Hence, the power function that best describes the end behavior of the polynomial is \(y = -3x^4\)

Read more about end behaviors at:

https://brainly.com/question/11275875

The cost of the 5 t-shirts in her currency of Krona is 608.313 Krona.

The formula for converting currencies is Original Currency / New Currency = Exchange Rate.

Given:

Cost of 7 t-shirts at a special deal = $97.93

Now, she wants to purchase 5 t-shirts for her family members at this special rate.

Total Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95

The exchange rate of the currency is 1 U.S. Dollar = 8.6964 Krona

So, $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona

Therefore, the cost of the 5 t-shirts in her currency of Krona is 608.313 Krona.

To learn more about currency conversion visit:

https://brainly.com/question/2202418

#SPJ9

The polygon PQRS satisfies the conditions of being an equilateral polygon, where all sides and angles are equal.

Based on the given information, we can make the following observations about the polygon PQRS:

1. All sides are equal: pq = qr = rs = sp = 12.

2. All angles are equal: ∠p = ∠q = ∠r = ∠s = m.

Therefore, the polygon PQRS satisfies the conditions of being an equilateral polygon, where all sides and angles are equal.

A polygon is a closed geometric shape with straight sides. It is formed by connecting line segments called edges or sides. The sides do not intersect except at their endpoints. The endpoints of the sides are called vertices. Polygons can have different numbers of sides and angles, and they are named based on the number of sides they possess.

Some common examples of polygons include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on. Polygons can be regular, where all sides and angles are equal, or they can be irregular, where sides and angles may vary.

Visit here to learn more about polygon brainly.com/question/14849685
#SPJ11

The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.

In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.

To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.

However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.

Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.

Learn more about absolute value here: brainly.com/question/17360689

#SPJ11

The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the sampling distribution of the mean.

The sampling distribution of the mean refers to the distribution of sample means obtained from repeated sampling from the same population.

In this case, we have 15,504 different samples of size 5 drawn from a population of 20 hospitals.

Each sample has its own sample mean. The relative frequency distribution of these sample means would specify the sampling distribution of the mean.

The sampling distribution of the mean is important in statistics because it allows us to make inferences about the population mean based on the distribution of sample means.

It helps us understand the variability of sample means and provides a basis for constructing confidence intervals and conducting hypothesis tests.

Therefore, the relative frequency distribution of the mean values from the different samples would describe the characteristics of the sampling distribution of the mean..

Learn more about sampling distribution

brainly.com/question/31465269

#SPJ11

The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.

To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:

To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.

The distance from the charges on the axis and at 0 is x. Now we can write,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].

Now, we can substitute the values in the above expression and obtain,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .

Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.

Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

To know more about the electrostatic potential, visit:

brainly.com/question/14762028

#SPJ11

Answer:

-16

Step-by-step explanation:

Use pemdas:

1. -5 times 4 is -20

2.  -40 divided by -10 is 4

3. -20 plus 4 is -16

Answer:

I'm going to say \(\frac{4}{1}\) and \(\frac{4}{2}\)

Step-by-step explanation: