. In a triangle, one angle is 5° more than the
measure of the second angle. The third
angle is 10° more than the measure of the
second angle. Find the measure of each
angle angle

Answer: Since triangle QRS and triangle TUV are both triangles, we can use the fact that the sum of the interior angles in a triangle is 180 degrees.

In triangle QRS, the measure of angle Q is 117 degrees and the measure of angle R is 180 - 117 = 63 degrees. The measure of angle S is 180 - 63 = 117 degrees, since the angles in a triangle add up to 180 degrees.

In triangle TUV, the measure of angle T is 180 - 30 = 150 degrees and the measure of angle U is 30 degrees. The measure of angle V is 180 - 150 = 30 degrees, since the angles in a triangle add up to 180 degrees.

The measures of LQ and LS can be found using the fact that the exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

The measure of LQ is equal to the sum of the measures of angles R and T:

LQ = 63 + 150 = 213 degrees

The measure of LS is equal to the sum of the measures of angles Q and U:

LS = 117 + 30 = 147 degrees

So the measure of LQ is 213 degrees and the measure of LS is 147 degrees.

Step-by-step explanation:

Answer:

5 meters per second

Step-by-step explanation:

Average speed = Total distance covered / Time taken

Answer:

5 meters per second

Step-by-step explanation:

Anna ran 100 meters in 20 seconds. What was her average speed?

100 / 20 = 5 meters per second

So, her average speed is 5 meters per second

Answer: 30% blue, 50%red, and 20%yellow

Step-by-step explanation:

Step-by-step explanation:

Given

f(x) = - 4x - 2

g(x) = 2x

(f • g) (x) = ?

We know

f(g(x)) = f ( 2x )

= - 4 ( 2x ) - 2

= - 8x - 2

Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

Since the preparation time is uniformly distributed between 20 and 30 minutes, the probability density function (PDF) of the preparation time is a uniform function:

$f(x)= \begin{cases}

     \frac{1}{10} & \text{for } 20 \leq x \leq 30 \\

     0 & \text{otherwise}

  \end{cases}$

To find the probability that the preparation time exceeds 27 minutes, we need to integrate the PDF from 27 to 30:

$P(X > 27) = \int_{27}^{30} \frac{1}{10} dx = \frac{1}{10} \bigg[x\bigg]_{27}^{30} = \frac{3}{10}$

Therefore, the probability that the preparation time exceeds 27 minutes is $\frac{3}{10}$ or 0.3.

To learn more about probability refer below

brainly.com/question/31973517

#SPJ11

All of the following expressions represent the sum of n and itself, except n²

To solve his problem, we need a brief idea about algebraic operations like summation, multiplication, etc.

When we add two or more same algebraic digits we have to just add their coefficients. Otherwise, it remains the same.

Example :

Here 2n = n + n, the sum of n and itself but n² = n × n, which is the multiplication of n and itself,

To know more about algebraic summations visit,

 https://brainly.com/app/ask?q=algebraic+summation

#SPJ9

The expression (2x-3)(2x-3) can be written as (2x-3)² or 4x² - 12x + 9 after expanding by using the identity (a - b)² = a² -2ab + b²

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

= (2x-3)(2x-3)

After multiplication:

= (2x-3)²

We can also expand the above expression by using the identity:

(a - b)² = a² -2ab + b²

= 4x² - 12x + 9

Thus, the expression (2x-3)(2x-3) can be written as (2x-3)² or 4x² - 12x + 9 after expanding by using the identity (a - b)² = a² -2ab + b²

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Answer: $17.35

Step-by-step explanation:

Answer:Clean White Clean Bright

Cost $5.76 0.18 Cost $7.20 0.15

fluid ounces 32 1 fluid ounces 48 1

Step-by-step explanation:

The correct answer would be C. rectangle!

Explanation:

When someone is asking for the cross-section shape, they are basically asking for you to cut the shape up (where the 2d figure is) and imagine what the shape would be. For example, if you cut a rectangular prism in half and see what shape it is, it would show a rectangle! This was difficult for me when I first learned it, you'll get the hang of it when you get more practice:)!

Answer:

It is -2 x^2 -13xy- 16ux - 2y^2

Step-by-step explanation:

Hope this helps :)

Answer: you're correct.

Brainliest or a thank you please :)) <3

The general solution to the differential equation is:

y = c1e^(x/3) + c2e^(2x)

where c1 and c2 are constants determined by the initial conditions.

(a) Type of differential equation: First-order linear differential equation.

Solution: Rearranging the equation, we get:

dy + dx sin(x^2) = 0

Multiplying both sides by the integrating factor e^x, we get:

e^x dy + e^x sin(x^2) dx = 0

This can be written as:

d/dx(e^x y) = 0

Integrating both sides with respect to x, we get:

e^x y = C

where C is the constant of integration. Therefore, the solution to the differential equation is:

y = Ce^(-x)

(b) Type of differential equation: Second-order homogeneous linear differential equation with constant coefficients.

Solution: The characteristic equation is:

3r^2 - 5r - 2 = 0

Solving for r, we get:

r = 1/3 or r = 2

Therefore, the general solution to the differential equation is:

y = c1e^(x/3) + c2e^(2x)

where c1 and c2 are constants determined by the initial conditions.

Click the below link, to learn more about Equation:

https://brainly.com/question/9585437

#SPJ11

Answer:

C

Step-by-step explanation:

Exponential functions have 2 things in common

-They increase infinitely once they approach a certain point

-They don't decrease anymore once they approach a certain point

To relate two fields in a one-to-many relationship using a common field. Then the correct option is C.

You require a common field that is present in both tables in order to connect two fields in a one-to-many relationship. Data may be transferred between the two tables thanks to this shared field, which serves as a connection between them.

If you had a Customers table and an Orders table, for instance, you might link the two tables using a common column like CustomerID. Both tables would have the CustomerID column, allowing you to get all orders linked to a certain customer.

Thus, the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

y = -3x-4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

   = (-16 - -7)/(4-1)

   = (-16+7) /3

   = -9/3

  = -3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3x+b

Using a point

-10 = -3(2)+b

-10 = -6+b

-10+6 = b

-4 = b

y = -3x-4

The exponential function \(f(x) = 14(0.87)^x\) shows exponential decay, and it's graph is given by the image presented at the end of the answer.

The equation of the asymptote is given as follows:

y = 0.

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

As the parameter b for this problem has an absolute value less than 1, the function represents exponential decay.

As there is no term adding/subtracting the exponential function, the asymptote is given as follows:

y = 0.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

Answer:

Step-by-step explanation:

A = \(\frac{hb}{2}\)

h = 10 cm , b = 17 cm

A = 10 × 17 ÷ 2 = 85 cm²

A sample size of approximately 4,148 newborns is required to obtain a 99% confidence interval for the proportion of all newborns who are breast-fed exclusively in the first two months of life to within 2 percentage points.

To calculate the required sample size for a 99% confidence interval with a margin of error (precision) of 2 percentage points for the proportion of newborns breast-fed exclusively in the first two months of life,

we will use the following formula:
\(n = (Z^2 * p * (1-p)) / E^2)\)
where:
n = required sample size
Z = Z-score for the desired confidence level (in this case, 99%)
p = estimated proportion (since we don't have this value, we will use 0.5 for the most conservative estimate)
E = margin of error (2 percentage points, or 0.02 in decimal form)
For a 99% confidence interval, the Z-score is 2.576.

Now, let's plug these values into the formula:
\(n = (2.576^2 * 0.5 * (1-0.5)) / 0.02^2\)
n = (6.635776 * 0.5 * 0.5) / 0.0004
n = 1.658944 / 0.0004
n ≈ 4147.36
Since we cannot have a fraction of a person, we will round up to the nearest whole number.

For similar question on interval.

https://brainly.com/question/29576113

#SPJ11

Answer:

12x= 180

Step-by-step explanation:

The sum of a triangle always adds up to 180 so,

(4x-1)+ (2x-1) +6 = 180

12x=180

x=15

Answer:

The equation you could use is the 3rd solution. You need to add all of the nubers that have an x after it because you can't add a number that doesn't have x and a number that does have x.  So once you add all of those,  you add the 10, and keep the subtrction symbol instead of the addition symbol. And like I said before, all triangles are equal to 180.

Step-by-step explanation:

Answer: A-Bottura cooks food that would be

wasted and serves it to people

Step-by-step explanation: hope this help

Answer:

(16,60)

Step-by-step explanation:

The expression for the length of the rectangle is L = 3 + 2w and the length is 23ft.

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

a)

The expression for the length of the rectangle is given as

\(L = 3 + 2w\)

b)

Perimeter of the rectangle

Given that the width of the rectangle is 10ft, we can calculate the length of the rectangle using the expression above in (a)

\(L = 3 + 2(10)\\L = 3 + 20 \\L = 23ft\)

c)

Given that the perimeter of the rectangle is 78ft, the length can be represented with the equation above.

\(L = 3 + 2w\\P = 2(l+w)\\78 = 2(l+w)\\\frac{78}{2} = l + w\\39 = (3 + 2w) + w\\39 = 3 + 2w + w\\39 = 3 + 3w\\3w = 39 - 3\\3w = 36\\w = 12ft\\\)

The length of the rectangle will be

\(l = 3 + 2w\\l = 3 + 2(12)\\l = 3 + 24\\l = 27ft\)

Learn more on rectangle here;

https://brainly.com/question/18019422

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

The answer is

A.6

True. The values that can be entered into a field are determined by the data type of the field.

The data type specifies what type of data can be stored in the field, such as text, numbers, dates, or boolean values. This helps ensure data consistency and accuracy within the field.
Field values that may be entered into a field are determined by the data type of the field. The data type defines the kind of values that can be stored in that specific field, ensuring that the information entered is consistent and accurate.

Data are collected by techniques such as measurement, observation, interrogation or analysis and are often represented as numbers or symbols that can be further processed. Data fields are data stored in unmanaged fields. Test data is data created during the execution of the test. Data analysis uses techniques such as computation, reasoning, discussion, presentation, visualization, or other post-mortem analysis. Before analysis, raw data (or raw data) is usually cleaned: outliers are removed and obvious devices or incorrect input data are corrected.

Learn more about data:

brainly.com/question/29122373

#SPJ11

The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

Learn more about financial performance here: brainly.com/question/28287663

#SPJ11

Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

To know more about dividing visit:

https://brainly.com/question/15381501

#SPJ11

The most appropriate choice for Green's Theorem, Cauchy Riemann Equation and Cauchy Goursat Theorem will be given by-

Cauchy Goursat Theorem has been proved using Green's Theorem-

What is Green's Theorem, Cauchy Riemann Equation and Cauchy Goursat Theorem?

Green's Theorem

Let C be a positively oriented, piecewise smooth, simple closed curve in a plane, and let D be the region bounded by C. Then

Green's Theorem states that

\(\int_c (Mdx + Ndy)=\int_D(M_x - N_y)dxdy\)

M and N are functions of x and y

Cauchy Goursat Theorem

If a function f is analytic at all points interior to and on a simple closed contour C, then

\(\int_c f(z) dz = 0\)

Cauchy Riemann Equation

If \(f(z)=u(x,y) + i v(x,y)\) is analytic at z = x + iy then Cauchy Riemann Equation states that

\(u_x = v_y, u_y = -v_x\)

Here,

Let \(f(z) = U(x,y) + iV(x,y)\)

\(U, V, x, y\) are continuous

\(f(z)dz = (U + i V)(dx + i dy)\)

\(f(z) dz = (U dx - Vdy)+i(Vdx + Udy)\)

\(\int_c f(z) dz = \int_c(U dx - Vdy)+i\int_c(Vdx + Udy)\), C is the curve

By Green's Theorem,

\(\int_c f(z)dz = \int_D(U_ydydx - V_xdxdy)+i\int_D(U_xdxdy + V_ydydx)\), D is the surface

\(\int_c f(z)dz = \int_D(-U_y - V_x)dxdy+i\int_D(U_x - V_y)dxdy\)\(\int_c f(z)dz = \int_D(V_x - V_x)dxdy+i\int_D(U_x - U_x)dxdy\)

Since \(f'\) is continuous, \(f\) is analytic

So \(f\) satisfies Cauchy Riemann equation

\(U_x = V_y, U_y = -V_x\)

So,

\(\int_c f(z)dz = \int_D(V_x - V_x)dxdy+i\int_D(U_x - U_x)dxdy\)

\(\int_c f(z)dz = 0\)

To learn more about

Green's Theorem, Cauchy Riemann Equation and

Cauchy Goursat Theorem, refer to the link:

https://brainly.in/question/31660066

#SPJ9

Complete Question

Suppose f is continuously complex differentiable on Ω , and T⊂Ω is a triangle whose interior is also contained in Ω . Apply Green's theorem to show that

\(\int_T\) f(z)dz=0

This provides a proof of goursat’s theorem under the additional assumption that f′ is continuous.

.

The number of cubes that have just one red face is 25.

A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.

Given:

Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.

The surface area of the cube with dimensions 5 x 5 x 5,

= 6 x 5 x 5

= 150 square units.

The surface area of the cube with dimensions 1 x 1 x 1,

= 6 square units.

The number of cubes that have just one red face is,

= 150/6 = 25

Therefore, 25 is the required number.

To learn more about the cube;

https://brainly.com/question/29372770

#SPJ1

Answer:

Standard Form:

\(y = {x}^{3} - 3 {x}^{2} + 3x - 4\)

Another Form:

\(y = (x - 1)^{3} - 3\)

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

\(y = {(x - 1)}^{ 3} - 3\)

In case if you want standard form.

Simplify the expression.

\((x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \)

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