In the figure below, APQR is a reflection of ATSA.
Two students describe the given triangles as shown:
Student I: Because reflections preserve side lengths, OR a SR, PO TS, and PR TR.SO APORATSR by SSS.
Student II: Because reflections preserve both side lengths and angle measures, ZROP ZRST, OR SR. and PO = TS. SO APOA - ATSR by SAS.
Who has proven APOR - ATSR correctly?
only studenti
only student II
o
both student I and student II
o
neither student I nor student II

In The Figure Below, APQR Is A Reflection Of ATSA.Two Students Describe The Given Triangles As Shown:Student

Answers

Answer 1

Answer:

both student one and student two

Step-by-step explanation:

Answer 2

With the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

Congruent triangle-If the sides of two triangle measure same lengths and the angle have same measures then the two triangle are said to be congruent.

Given-

Statement of student 1-Because reflections preserve side lengths,

[tex]QR \cong SR[/tex],

[tex]PQ \cong TS[/tex],

[tex]PR \cong TR.[/tex] so,

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangle are said to be congruent by the side side side (SSS) rule. Hence, the above statement is correct.

Statement of student 2- Because reflections preserve both side lengths and angle measures,

[tex]\angle RQP \cong \angle RST[/tex]

[tex]QR \cong SR[/tex]

[tex]PQ \cong TS[/tex]

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangle are said to be congruent by the side angle side (SAS) rule. Hence the above statement is correct.

Hence, with the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

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Related Questions

Help me pleaseee jesussss (10 points )

Answers

use the 30, 60 thing. the side across from 30 is a. in the first triangle the angle we aren’t given is 30 so we know a is 5. the side across from angle 60 is a root 3. so in the first triangle we know that the side is 5 root 3. and there u can just use SAS

Rise= ?
Run= ?
Slope= ?

Answers

Answer:

Rise = 0

Run = 4

Slope = 0

Step-by-step explanation:

Slope of straight line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Since, given line is passing through two points (-2, -3) and (2, -3),

Rise of the line = -3 - (-3) = 0

Run of the given line = 2 - (-2) = 4

By substituting these values of rise and run in the formula,

Slope = [tex]\frac{0}{4}[/tex]

          = 0

Therefore, Rise = 0

                  Run = 4

                 Slope = 0

Note:  Slope of a line parallel to the x-axis is zero.

           Slope of a line parallel to y-axis is not defined.

which transformation is shown here?​

Answers

pretty sure it’s rotation
Answer:
It is a Rotation.

PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2
y=x-6

Answers

The graph is the second one, when they both meet at (2,-4).

Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
9
9
36
81

Answers

Answer:

sure easy man the carrot is blue and green and orange there naswer soled

(14)/(5)=(x)/(25) please help

Answers

Step-by-step explanation:

(14)/(5)=(x)/(25)

We move all terms to the left:

(14)/(5)-((x)/(25))=0

We add all the numbers together, and all the variables

-(+x/25)+14/5=0

We get rid of parentheses

-x/25+14/5=0

We calculate fractions

There is no solution for this equation

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

Help plz I need to have this quick

Answers

Answer:

A and D are 87 degrees

C is 28 degrees

and B is 65 degrees

Step-by-step explanation:

28 degrees and c are congruent

a and d are congruent

65 degrees and b are cungruent

B(65)+28+D= 180

65+28= 93

93+D=180

D=87

A=D(87)

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent

Answers

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

A quiche took 101 minutes to make and 175 minutes to bake. Estimate the combined time it took to prepare the quiche by rounding to the nearest ten first and then adding the rounded numbers.

Answers

Answer:

1233

Step-by-step explanation:

kieley

Answer:

80

Step-by-step explanation:

180-100+80.

In order to redress a gender imbalance in its workforce, a company needs to appoint men and
women in the ratio 4:5. Over the next year 90 new jobs are expected to be advertised. How many
of the appointees should be men, and how many women?

Answers

Answer:

40 men 50 women

Step-by-step explanation:

4/9 should be men, 5/9 should be women.

Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant.
A person's core body temperature (°F) in relation to time of day

a. Independent Variable: time of day, Dependent Variable: temperature Graph falls until morning and then steadily rises throughout the day.


b. Independent Variable: time of day, Dependent Variable: temperature Graph is constant and then rises.

c. Independent Variable: time of day, Dependent Variable: time of day Graph is constant and
then rises.

d. Independent Variable: temperature, Dependent Variable: time of day
Graph falls until morning
and then steadily rises throughout the day.​

Answers

Answer:

d number is the correct answer of the question

write an equation of the line with a slope of 2 and a y-intercept of 5

Answers

Answer:

y= 2x + 5

Step-by-step explanation:

h(n)=3n-4 find h(-6)

Answers

Answer:

h(-6) = -22

Step-by-step explanation:

h(n) = 3n - 4

h(-6)= 3(-6) - 4

= -18 - 4

= -22

write the first 5 composite numbers?​

Answers

Answer:

4, 6, 8, 9, 10, 12, 14, 15, 16

Step-by-step explanation:

"The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime."

hope this helps :)

A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adults and ask them whether they think tha tocngress is a good reflection of american views.
Find the probability that the number who say yes is (a) exactly 8, (b) at least 10, and (c) less than 5, and (d) identify any unusual events. Explain.

Answers

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT

_______ is the lowest point in a particular section of the graph.

A. relative maximum
B. relative minimum
C. absolute maximum
D. absolute minimum ​

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. relative minimum

Step-by-step explanation:

This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.

Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:

[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to

[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to

[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get

A(t) = 5000(2.001597343) and multiply through to get

A(t) = 10,007.99

Answer:

$10048.31

Step-by-step explanation:

I need help it’s due in 20 min:(

Answers

Orange to the left column in the South Pole next to the whale

Answer:

A) DF= 11

B) JH= 13.6

C) GJ= 23.6

D) m∠F= 105

E) m∠G= 34

F) m∠J= 41

Step-by-step explanation:

Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?

Answers

Answer:

1) the probability that he wins the second game is 0.45

2) the probability he wins the first game given that he won the second game is 0.333  

3) Expected Value is $ 1.5 and the variance is 0.75

Step-by-step explanation:

Given the data in the question;

Let Win1 represent first game victory

and Loss1 represent first game loss

Let Win2 denote second game victory

and Loss2 denote second game loss

now from the Tree diagram of Daniel;

P ( Win1 ) = 0.6

P ( Loss1 ) = 0.4

P ( Win2 | Win1 ) = 0.25

P ( Loss2 | Win1 ) = 0.75

P ( Win2 | Loss1 ) = 0.75

P ( Loss2 | Loss1 ) = 0.25

1) probability that he wins the second game will be;

P ( Win2 )  =  [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]

we substitute

= [0.6 × 0.25] + [0.4 * 0.75] = 0.45

Therefore the probability that he wins the second game is 0.45

2)

If he wins the second game, what is the probability that he also won the first game  will be;

{From Bayes' Theorem}

P ( Win1 | Win2 )  =  P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )

= 0.6 × 0.25 / 0.45 = 0.333  

Therefore the probability he wins the first game given that he won the second game is 0.333  

c)

winnings       probability

$0                  0.4 × 0.25 = 0.1

$1                   0.6 × 0.75 = 0.45

$2                  0.4 × 0.75 = 0.3

$3                  0.6 × 0.25 = 0.15

so Expected Value = ∑( winnings × individual win probability)

=  (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)

= 0 + 0.45 + 0.6 + 0.45

= $ 1.5

Variance = ∑( X² ) - (∑(X))²

∑( X² ) = Summation of ( Winnings² × Probability of Each Win )

so

Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²

Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25

Variance = 3 - 2.25

Variance = 0.75

Therefore Expected Value is $ 1.5 and the variance is 0.75

4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *

Answers

48/4 = $12 per ticket
12 * 11 = $132
It would cost $132 for 11 tickets

Answer:

4 tickets =$48

1 ticket = $48/4

= $ 12

11 tickets =11*$12

= $132

-27+ 20w=73? plsssssssssssssssssssssssssssss

Answers

Answer:

w = 5

Step-by-step explanation:

-27 + 20w = 73

add 27 to both sides

-27 + 27 + 20w = 73 + 27

20w = 100

divide both sides by 20

20w/20 = 100/20

w = 5

The Answer is: w = 5.

The length of a rectangle is 4 more than twice the width length. The perimeter is 28. What is the LENGTH?

Answers

Answer:

10[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Let the width length be x.

Width length = x

Length = 2x + 4

Perimeter = width + length + width + length

                = x + 2x + 4 + x + 2x + 4

                = 6x + 8

6x + 8 = 28

6x = 28 - 8

    = 20

x = 20 ÷ 6

x = 3[tex]\frac{1}{3}[/tex]

Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4

                         = 6[tex]\frac{2}{3}[/tex] + 4

                         = 10[tex]\frac{2}{3}[/tex]

2 3/5 is what percent of 20..................

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.

hope this helps,have a great day!!

~Pinky~

2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.

To convert 2 3/5 to a percentage of 20,

first need to express the mixed number as an improper fraction. The improper fraction is found by multiplying the whole number (2) by the denominator of the fraction (5) and then adding the numerator (3) to get 13/5.

Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).

This gives us 2.6.

Express the decimal as a percentage, multiply by 100.

2.6 x 100 = 260%

This results in 260%. However, since 260% is larger than 100%,

Find the percentage of 260% by 20.

260%÷20

On dividing by 10 gives:

=26/2

On dividing by 2gives:

=13%

In conclusion, 2 3/5 is equal to 13% of 20.

Learn more about percentage here:

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Which of the binomials below is a factor of this trinomial?
4x² + 12x + 9

Answers

Factor: 4x^2+12x+9
=2x+3 so it’s A
You have solve the equation out


The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The factor of the polynomial is calculated as:-

4x² + 12x + 9 = 4x² + 6x + 6x + 9

                     = 2x ( 2x + 3 ) + 3 ( 2x + 3 )

                     = (2x + 3)(2x + 3)

The factor is (2x + 3). Hence, the correct option is A.

To know more about quadratic equations follow

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Derek has 4 shirts, 7 pairs of pants, and 3 blazers. How many possible outfits can he make?

Answers

he can make 84 outfits. 4•7•3=84 i’m not sure if that’s the answer but i hope this helps:)

Whoever answers gets brainlist!

Answers

Answer:

B

Step-by-step explanation:

Answer:

The height is 4 Ft.

Step-by-step explanation:

9*4=36

9 ft*4 ft=36 Ft.

Hope this helps

Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Hint: Distance equals rate times time. (d = r t)

Answers

Answer:

it goes 4233 miles

Step-by-step explanation:

sorry if am wrong luv!

Sam is baking 10 pies for a school bake sale. He
uses 21 cups of apples for 6 pies. How many
cups of apples will he need in all? Explain

Answers

Answer:

Step-by-step explanation:

21/6 = 3.5. This means each pie requires about 3.5 cups of apples. So, 3.5x10 = 35 cups of apples needed overall

Answer:

35 cups of apples

Step-by-step explanation:

Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time

Answers

Answer:

Y=62x

Step-by-step explanation:

The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.

Given :

Car X travels 186 miles and 3 hours.

The following steps can be used to determine the equation of the line that describes the relationship between distance and time:

Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.

Step 2 - The speed is given by the ratio of distance to time.

[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]

Step 3 - Now, put the value of distance and time in the above equation.

[tex]\rm Speed = \dfrac{y}{x}[/tex]   ---- (1)

Step 4 - According to the given data the speed is given by:

[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]

Step 5 - Now, put the value of speed in equation (1).

[tex]\dfrac{y}{x}= 62[/tex]

y = 62x

The equation of the line that describes the relationship between distance and time is (y = 62x).

For more information, refer to the line given below:

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