Indicate the method you would use to prove the two triangles congruent if new method applies, enter none. SSS, ASA, AAS, SAS, none.

Answer:

I think it's the 3rd one 61 hope this helps

Answer:

X=√18

Step-by-step explanation:

X^2-18=0

X^2=18

X=√18

Answer:

5.88 meters

Step-by-step explanation:

This is a problem of scale factor which uses the concept of ratio.

scale factor is the ratio of length of actual figure to length of its model.

Example: if an architect is drawing design for a building

if height of building is 100 meter but he is drawing this on paper of 1 meter then scale factor will 100/ 1= 100: 1.

It means that for every 100 meter of length of building, it can be represented by 1 meter of its model.

Thus if a building has length 200 meter then its model will be of 200/100 = 2 meter length.

______________________________________

We will solve the given problem based on use of this concept.

Height of man = 1.78 meter

since in picture unit of measure is in cm, lets convert 1.78 meter to centimetre.

1 meter = 100 cm

1.78 meter  = 100* 1.78 cm = 178 cm

height of man in picture = 2.3 cm

Scale factor = actual Height of man/Height of man in picture

              = 178/2.3 = 77391

_________________________________________

ratio of actual height of flagpole /  height of flagpole = actual Height of man/Height of man in picture

Substituting the value given in problem we have

actual height of flagpole/7.6 =  178/2.3

=>actual height of flagpole =  (178/2.3)* 7.6 = 588.172 cm.

Thus height of pole is 588.172 cm.

In meter, height of pole is 588.172*100 cm

height of pole is 5.88 meters

The segment of a triangle is the median of the triangle. This is the line that join a vertex of the triangle to the opposite side of the triangle.

The answer is finite.

This is because the probability model lists the probabilities for four distinct and mutually exclusive outcomes (Republican, Independent, Democrat, and Other) and the sum of these probabilities equals 1.

Therefore, the probability model is a finite model, as opposed to a continuous model which deals with probabilities over an infinite range of outcomes.

Learn more about probability: https://brainly.com/question/11234923

#SPJ11

Answer:

\(\huge\boxed{\dfrac{68}{125}=0.544}\)

Step-by-step explanation:

\(\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544\)

Answer:

ABCD has congruent diagonals.

ABCD is a rhombus.

ABCD has four congruent angles

Step-by-step explanation:

The following statements would be considered true

1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular

2. ABCD would be treated as the rhombus as it is a  regular quadrilateral

3. ANd, It Have the four congruent angles that means the four angles be 90 degrees

The other statements would be false.

Answer:

A,B,E

Step-by-step explanation:

Edge 2021

Answer:

The directional derivative of f at A in the direction of \(\vec{u}\) AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \(\vec{u}=(a,b)\) is denoted by \(D\vec{u}f(x,y)\),

\(D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b\).

Now the given points are

\(A(8,9),B(10,9),C(8,10) and D(11,13)\),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\(\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)\)

AC=(8-8,10-9), the direction is

\(\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)\)

AC=(11-8,13-9), the direction is

\(\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )\)

Step 3:

The given directional derivative of f at A \(\vec{u}_{AB}\) is 9,

\(D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9\)

The given directional derivative of f at A \(\vec{u}_{AC}\) is 2,

\(D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2\)

The given directional derivative of f at A \(\vec{u}_{AD}\) is

\(D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}\)

\(D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}\)

\(D\vec{u}_{AD}f= \frac{27+8}{5} =7\)

The directional derivative of f at A in the direction of  \(\vec{u}_{AD}\) is  7.

If we make f the subject of the formula, then f = (3 + 4d)/(3 + d)

We are given a formula in which d = 3(1 - f)/(f - 4). We have to make f the subject of the formula. To make a variable the subject of the formula, we isolate it to the left-hand side of the equation with no other variable written along with it.

So, in this question, we will isolate f on the left-hand side of the equation and we will make f the subject of the formula. We are given that

d = \(\frac{3(1-f)}{f - 4}\)

When we cross-multiply this equation, we get

d(f -4) = 3(1 -f)

fd - 4d = 3 - 3f

Combine all the terms having variable f to the left-hand side.

fd + 3f = 3 + 4d

f( d + 3) = 3 + 4d

f = \(\frac{(3 + 4d) }{(3 + d)}\)

Therefore, by making f the subject of the formula, we get

f = (3 + 4d)/(3 + d)

To learn more about the subject of the formula;

https://brainly.com/question/29401399

#SPJ1

Answer:

Step-by-step explanation:

To find the amount of sales in the clothing department, we need to calculate 28% of the total sales.

Total sales: 20,000,000.00 Pesos

Amount of sales in the clothing department:

Sales = 28% of total sales

Sales = 28/100 * 20,000,000.00

Sales = 0.28 * 20,000,000.00

Sales = 5,600,000.00 Pesos

Therefore, the amount of sales in the clothing department is 5,600,000.00 Pesos.

Solution:

Given:

Account 2 details:

Assume a year is 365 days;

Using the compound interest formula to get the amount;

Hence, substituting the values;

Therefore, the balance in account 2 will be $9633.55

the regression equation:

y = 0.9x+ 7.5

given that:

Xi: 2; 6; 9; 13; 20

Yi: 7; 18; 9; 26; 23

from the given data we have:

∑x = 2+6+9+13+20 = 50

∑y = 7+18+9+26+23 = 83

Also, we need to calculate:

∑XY = 2 × 7+ 6 × 18+ 9× 9+ 13 × 26+ 20×23 = 1001

∑\(x^{2}\) = \(2^{2}\) +  \(6^{2}\)+\(9^{2}\)  +  \(13^{2}\)+ \(20^{2}\) = 690

∑\(y^{2}\)=  \(7^{2}\)+ \(18^{2}\)  + \(9^{2}\) + \(26^{2}\) +\(23^{2}\)  = 1659

the slope b is calculated:

b = ∑XY - ∑x × ∑y/n ÷ ∑ - (∑x)^2 /n

now we need to substitute the above values in the equation:

b = 1001 - 50×83 /5 ÷ 690 - (50)^2/5

b= 0.9

the y-intercept (a) is :

a = y - bx

where

y = ∑y/n = 83/5 = 16.6

x = ∑x/n = 50/5 = 10

now substitute these values

a = 16.5 - 0.9 × 10

a = 7.5

the regression equation:

y = bx + a

now ,

y = 0.9x+ 7.5

To learn more about regression equation:

brainly.com/question/14180189

#SPJ4

The general equation of a line is y = mx+b, m being the slope and b the intercept on the y-axis.

We are given the line 7y-4x=-14, let's organize the equation like the general form:

In order to be parallel to your line, a line has to have the same slope as your line. So the slope has to be 4/7.

Thus any line parallel to the line y=4/7x-2 has an equation of the form y=4/7x+b, where b is any number.

By looking at the answer options, we can select the second option y= 4/7x-1

Using the sum of the sides of the triangle, it is found that the possibility that will form a triangle is:

Side = 14 cm, side 6 cm,side = 9 cm

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

In this problem:

Hence the correct option is:

Side = 14 cm, side 6 cm,side = 9 cm

To learn more about the sum of the sides of the triangle, you can take a look at https://brainly.com/question/25401493

Answer: .75 or 3/4

Step-by-step explanation:

Answer:30/40

Step-by-step explanation:

to answer this question, we need to calculate 5/8x3/5x2

5/8 x 3/5 is just both top and bottom of each multiplied, 5 x 3 which is 15 and 8 x 5 which is 40, so 15/40 x 2/1 = 30/40

also try figure it out on your own.

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

\(A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

We can find the A as shown below:

Given A^2=I

We know that A^2=A×A

And \(I=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

So, \(A^2=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

Let \(A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

\(A^2=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right] \left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

\(A^2=\left[\begin{array}{ccc}9-8&-6+6\\12-12&-8+9\end{array}\right]\)

\(A^2=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

Hence, \(A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

Hence, option C is correct

Learn more about matrix here:

https://brainly.com/question/94574

#SPJ1

Disclaimer: Given question is incomplete. Complete question is attached.

Answer: 39

Step-by-step explanation:

Given

P(x)=7x+5

r(x)=x-1

r(p(x))=7x+5-1=7x+4

so, r(p(5))

\(\Rightarrow r(p(5))=7\times 5+4=35+4=39\)

Answer:

√53

Step-by-step explanation:

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x1 = -5

x2 = -3

y1 = 6

y2 = - 1

Solution

d = sqrt( ( -3 - -5)^2 + (-1 - 6)^2 )

d = sqrt( ( -3 + 5)^2 + (-7)^2 )

d = sqrt( 2^2 + 49)

d = sqrt(4 + 49)

d = sqrt(53)

Answer:

Area of trapezoid = 200 m²

Step-by-step explanation:

Parallel side1 a= 15m

Parallel side2 b= 25m

Perpendicular distance h = 10 m

We need to find area of the trapezoid.

The formula used to find area of the trapezoid is: \(Area \ of \ trapezoid=\frac{a+b}{2}h\)

Putting values and finding area of the trapezoid:

\(Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2\)

So, area of trapezoid = 200 m²

Answer:

I would think that it would be 8

Step-by-step explanation:

1-2= (-1)= -1+2=1

I think it's 8. 8 times the number of 1 is well...8.

Step-by-step explanation:

x = the number

x * 2 = 1  

soooo   x = 1/2

then   8 * 1/2  = 4

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

Learn more about  radical innovation :

https://brainly.com/question/14298323?

#SPJ4

The complete question is:

identify a characteristic of change managers that an organization should consider when employing people.

→ Change managers are nonconformists who take risks.

→ Having a large number of conformist is effective for an organization.

→ Change managers are usually regarded as peacemakers who follow rules.

→ Having a large number of radical innovators is effective for an organization.

While hiring change managers, businesses should take into account their nonconformist, risk-taking nature.

To successfully implement organizational change efforts, change managers must question the status quo, take measured risks, and foster creativity. Organizational stability and routine tasks may be maintained more successfully with a large number of conformists, but change managers need a distinct skill set. They must be able to think creatively, try out novel concepts, and deal with ambiguity and uncertainty.

Option 3: Being seen as a rule-following peacemaker may be an asset in some situations, but it is not always necessary for a change manager. Similarly, having a lot of radical innovators (option 4) could backfire if there isn't a balance with other qualities and abilities crucial for effective change management.

Learn more about radical innovation here:

brainly.com/question/14298323?

#SPJ11

Answer:

The equation for the total cost of the gym membership over t months is CC = Jo + M * t, where Jo represents the one-time fee to join, M represents the monthly fee to remain a member, and t represents the number of months for which the membership is valid.

The slope of the graph is M, the monthly fee to remain a member. The interpretation of the slope in the context of the problem is that it represents the cost per month of remaining a member of the gym.

The measure of angle BAC is of 14.48º, considering the relations in a right triangle.

There are three relations in a right triangle, presented as follows:

Using a ruler, it is found that the length of the opposite side to angle BAC, of CB, is of 1.5 cm, hence the following relation is established, considering the hypotenuse of 6 cm.

sin(x) = 1.5/6

In which x is the measure of angle BAC.

x can be isolated applying the arc sine function, which is the inverse of the sine, hence:

x = arcsin(1.5/6)

x = 14.48º.

More can be learned about the relations in a right triangle at https://brainly.com/question/26396675

#SPJ1

69.56 + 0.32x₁ - 0.18x₂ is the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂.

The given data for a dependent variable y and two independent variables, x₁ and x₂, are as follows:

x₁: 22, 30, 12, 45, 11, 25, 18, 50, 17, 41, 6, 50, 19, 75, 36, 12, 59, 13, 76, 17

y: 50, 90, 50, 80, 60, 80, 50, 70, 60, 70, 50, 70, 90, 80, 70, 60, 80, 50, 70, 60

The estimated regression equation for the given data is given by:

y = 69.56 + 0.32x₁ - 0.18x₂

Here:

y represents the dependent variable.

x₁ and x₂ are the two independent variables.

Therefore, the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂ is y = 69.56 + 0.32x₁ - 0.18x₂.

To learn more about variables, refer below:

https://brainly.com/question/15078630

#SPJ11

Answer: 636

Step-by-step explanation:

First, we need to find out how many miles per gallon (mpg) the boat gets

So we need to divide 756 by 63

756/63=12

Now we know the boat gets 12mpg

Now let's multiply 12 by 53

12x53

636 miles

Answer:

The tower is 48 ft tall.

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

\(\displaystyle \frac{CE}{CD}=\frac{BE}{H}\)

Substituting the values:

\(\displaystyle \frac{8}{64}=\frac{6}{H}\)

Multiplying by 64H:

\(8H=64*6\)

Dividing by 8:

\(H=64*6/8=48\)

The tower is 48 ft tall.