Which theorem or postulate proves that △ABC and △DEF are similar?

The two triangles are similar by which postulate or theorem?


​SAS Similarity Theorem​

​SSS Similarity Theorem​

​AA Similarity Postulate

Answer:

qw

Step-by-step explanation:

w

Answer:50

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

h(x)=3x² – 2x + 13

By replacing x with 3, we get

h(3)=3×3² – 2×3 + 13

=3×9-6+13

=27+7

=34

Answer:

The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Trust me edge 2022

The transfer function for the given integrator circuit in terms of frequency,f and imaginary unit,j is expressed as \(T(f)=-j0.00628f\)

The figure of the integrator is shown at bottom of the answer.

The transfer function of an integrator can be expressed in form of impedances of the circuit elements connected to the op-amp.

Assume the impedance at the input side be \(Z_1\) and impedance of the feedback be \(Z_2\)

We can observe that at input, in consists of capacitor with capacitance,C \(= 0.1\mu F=10^{-7}F\)

and at the feedback loop, the circuit element is a resistor with resistance,R \(= 10k\Omega = 10^4 \Omega\)

Now,

the transfer function for an integrator can be written as ,

\(T(f) = -\frac{Z_2}{Z_1}\)

We know that,

impedance of capacitor is \(Z_1=\frac{1}{j\omega C}=\frac{1}{j2\pi f C}\)

impedance of resistor is \(Z_2=R\)

Now,

\(T(f)=-\frac{R}{\frac{1}{j2\pi fC}}\\\\T(f)=-R*j2\pi f C\\\\T(f)=-j10^4*2\pi f 10^{-7}\\\\T(f)=-j0.00628f\)

Hence, the transfer function is \(T(f)=-j0.00628f\)

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Step-by-step explanation:

angles are equivalent to 65 degrees :

<2, <4 & < 8

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area is enclosed in the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

Answer:

From prove

Step-by-step explanation:

from prove

Explanation

Two angles are called complementary when their measures add to 90 degrees

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Joe bought 9.6 gallons of gasoline and 8 cans of oil, all in all he spent $91.12.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Joe bought g gallons of gasoline for 4.55,

can be represented as 4.95g.

He bought c cans of oil for 5.45,

can be represented as 5.15c.

Add them together to find the total cost, and it will look like this: y(cost) = 4.95g + 5.45c.

b. g = 9.6 gallons

c = 8 cans of oil

the equation can be written as

y(cost) = 4.95(9.6) + 5.45(8)

y = 47.52 + 43.6

y = 91.12

Hence, if Joe bought 9.6 gallons of gasoline and 8 cans of oil, all in all he spent $91.12.

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The question attached here is incomplete

The complete question is:

Joe bought g gallons of gasoline for ​$ 4.95 per gallon and c cans of oil for ​$ 5.45 per can.

a. What expression can be used to determine the total amount Joe spent on gasoline and​ oil?

b. If he bought 9.6 gallons of gasoline and 8 cans of​ oil, how much did he spend in​ all?

Based on the above scenario, an equation that shows how much Gwen paid. The equation for Gwen is y = 100 + 10x

Since Gwen burns  about 10 cal/min. THen she had used up 100 calories if Tristan and Keith began ar (Y g=100 if  x=0)

Then Y(g)= 10x + 100

Since Tristan is known to burns 125 cal in 10 minutes always, then one can write her own as 12.5 cal every minute.

Therefore Y (t) = 12.5x

Since Keith burns 300 calories in 30 min always, or 10 calories in every minute.

Then Y (k) = 10x

The   general function of y:

y=10x +100 + 12.5x + 10x

y = 32.5x + 100

Therefore, Based on the above scenario, an equation that shows how much Gwen paid. The equation for Gwen is y = 100 + 10x

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Answer:

By arranging the data set.

Week one has the highest range of 55 minutes

Step-by-step explanation:

Range = highest data minus lowest data.

So lers arrange our data and determine the range of each week

Week 1

Sunday 85, monday 35, Tuesday 50, Wednesday 60, Thursday 30, Friday 35, Saturday 50

Acsending order

=30, 35, 35,50,50 ,60,85

Range = 85-30 = 55

Week 2

Sunday 55 ,Monday 50, Tuesday 45 Wednesday 45 ,Thursday 40 ,Friday 30 ,Saturday 50

Acsending order

= 30,40,45,45,50,50,55,

Range=55-30 = 25

Week one has the highest range of 55 minutes

Answer:

A) 1. Order the minutes for each week.

2. Find the range for each week.  

3. Compare the ranges.  

Week 1 had the larger range in minutes.

Step-by-step explanation:

edg2020

Answer:3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The trigonometric identity cos a(2sec a + tan a)(sec a - 2tan a) = 2cos a - 3tan a

Trigonometric identities are equations that contain trigonometric ratios.

Given the trigonometric identity cos a(2sec a + tan a)(sec a - 2tan a) = 2cos a - 3tan a, we need to show that Left hand side (L.H.S) equals Right hand side (R.H.S). We proceed as follows

L.H.S =  cos a(2sec a + tan a)(sec a - 2tan a)

Expanding the brackets, we have that

cos a(2sec a + tan a)(sec a - 2tan a) =  cos a(2sec² a -  4tan asec a + tan a sec a - 2tan² a)

= cos a(2sec² a -  3tan a sec a - 2tan² a)

Now using the trigonometric identity 1 + tan² a = sec² a, we have that

cos a(2sec² a -  3tan a sec a - 2tan² a) = cos a(2(1 + tan² a) -  3tan a sec a - 2tan² a)

= cos a(2 + 2tan² a -  3tan a sec a - 2tan² a)

Collecting like terms in the equation, we have that

= cos a(2 + 2tan² a - 2tan² a -  3tan a sec a)

= cos a(2 + 0 -  3tan a sec a)

= cos a(2 -  3tan a sec a)

Expanding the bracket, we have that

= 2cos a -  cos a × 3tan a sec a

=  2cos a -  cos a × 3tan a/cos a  (since sec a = 1/cos a)

= 2cos a - 1 × 3tan a

= 2cos a - 3tan a

= R.H.S

So, since L.H.S = R.H.S,

cos a(2sec a + tan a)(sec a - 2tan a) = 2cos a - 3tan a

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Answer:

The probability of the length of a randomly selected Cane being between 360 and 370 cm  P(360 ≤X≤370)    = 0.6851

Step-by-step explanation:

step(i):-

Let 'X' be the random Normal variable

mean of the Population = 365.45

Standard deviation of the population = 4.9 cm

Let X₁ =  360

\(Z= \frac{x-mean}{S.D}= \frac{360-365.45}{4.9}\)

Z₁ = -1.112

Let X₂ =  370

\(Z= \frac{x-mean}{S.D}= \frac{370-365.45}{4.9}\)

Z₂ = 0.911

Step(ii):-

The probability of the length of a randomly selected Cane being between 360 and 370 cm

                  P(x₁≤x≤x₂) =    P(z₁≤Z≤z₂)

               P(360 ≤X≤370)   =    P(-1.11≤Z≤0.911)

                                     =    P(Z≤0.911)-P(Z≤-1.11)

                                     =   0.5 +A(0.911) - (0.5-A(1.11)

                                       =    0.5 +A(0.911) - 0.5+A(1.11)

                                      =     A(0.911) + A(1.11)

                                    =    0.3186 + 0.3665

                                     = 0.6851

The probability of the length of a randomly selected Cane being between 360 and 370 cm  P(360 ≤X≤370)    = 0.6851

Answer:

89

Step-by-step explanation:

2/3 times 267 is 178 after that you have to sub 178 from 267

HERE IS THE ANSWER YOU WANT...

ITS COREECT....

HOPE IT HELPS YOU......

:)

Step-by-step explanation:

H+J=48

H=3J

3J+J=48

4J=48

From there: J=48/4

J=12

H=3J=3×12=36

Jane: 12

Harvey:36

Answer:

Step-by-step explanation:

The domain is the set of values of x for which the function is defined. Those are the values of x that make the square root argument non-negative:

  x -7 ≥ 0

  x ≥ 7

__

Since the square root cannot be negative, the sum of it and 9 cannot be less than 9. The range is ...

  f(x) ≥ 9

Answer:

domain: x ≥ 7

range: f(x) ≥ 9

Answer:

See below

Step-by-step explanation:

Using the two pairs of (a, p) to determine the function:

The function would be:

Slope is:

p-intercept:

So the function is:

(a)

(b) Slope is negative, indicating the lower probability at greater age. P-intercept of 120.5 is of the non-real case as for zero age it gives more than 100% probability.

(c) The domain needs restriction in line with law, so minimum age and maximum to be determined in order not to have unrealistic outcome. It should be ok between 18 and 48.

(d) The values at given points:

Answer:

ok dont get addicted

Step-by-step explanation:

Answer: 144π units^2

Step-by-step explanation:

A=πr^2

A=π(12)^2

A=144π units^2

To solve this problem, we will visit the area of a circle formula and supply known values, such as the radius, to answer the question.

To find the area of a circle given its radius, use the formula:

\(A = \pi r ^2\)

where \(r\) is the radius of the circle and A is the area.

Substitute the known value for the radius in the formula.

\(A = \pi(12)^2\)

To simplify, use BPEMDAS, which evaluates in the proper Order of Operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

\(A=\pi(144)\)

Simplify by rearranging the coefficient in front of the variable:

\(A=144\pi\)

As this is an area, our final result must be squared:

\(A=144\pi \text{ square units}\)

The final answer to this problem is \(A=144\pi\) square units. The answer can also be represented in a non-exact (approximate) format, which is solved below.

To get the non-exact format of this answer, instead of leaving \(\pi\) in the final answer, multiply it by the leading coefficient.

\(A = 144\times\pi\)

\(A= 452.38934211 ...\)

Simplify to the one-hundredths place:

\(A\approx452.39\)

For final answers:

\(\bold{Exact}: \ \boxed{A=144\pi \ \text{square units}}\)

\(\bold{Approximate}: \ \boxed{A = 452.39 \ \text{square units}}\)

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Answer:

attached below is the detailed solution

i) equilibrium solution : y = 0 , y^2 = 1 , y = -1 , +1

ii) attached below

iii) attached below

iv) attached below

v) attached below

Step-by-step explanation:

v) For the sketch of curve attached

red curve ( y(0) ) = -3/2

blue curve ( y(0) ) = 1/2

green solution curve ( y(0) ) = 3/2

Answer:

No. There is not enough evidence to support the claim that the proportion of college students who report having been diagnosed with depression has increased from 2010 to 2011.

The null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0\)

(Subindex 1 for 2010 and subindex 2 for 2011)

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of college students who report having been diagnosed with depression has increased from 2010 to 2011.

Then, the null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0\)

The significance level is 0.01.

The sample 1 (2010), of size n1=200 has a proportion of p1=0.1.

The sample 2 (2011), of size n2=100 has a proportion of p2=0.15.

The difference between proportions is (p1-p2)=-0.05.

\(p_d=p_1-p_2=0.1-0.15=-0.05\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{20+15}{200+100}=\dfrac{35}{300}=0.1167\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.1167*0.8833}{200}+\dfrac{0.1167*0.8833}{100}}\\\\\\s_{p1-p2}=\sqrt{0.0005+0.001}=\sqrt{0.0015}=0.0393\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.0393}=\dfrac{-0.05}{0.0393}=-1.27\)

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

\(P-value=P(z<-1.27)=0.102\)

As the P-value (0.102) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of college students who report having been diagnosed with depression has increased from 2010 to 2011.

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

B) Stan made a mistake in step one.

Step-by-step explanation:

B) Stan made a mistake in step one.

When he multiplied 8(n+20), he should have gotten 8n+160, not 8n+20.

Answer:

B

Step-by-step explanation:

He made a mistake in Step: 1

it's supposed to be

n+8n+8(20)=110

distributive property

Hope this helps :)

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer:

I think 5 gallon painting