Which of the following statements is true of the diagram? ​

Which Of The Following Statements Is True Of The Diagram?

Answers

Answer 1

Answer:

option 2

Step-by-step explanation:

QR = 15 ( triangle is a 8- 15- 17 Pythagorean triple )

cosP = [tex]\frac{PR}{PQ}[/tex] = [tex]\frac{8}{17}[/tex] ≠ [tex]\frac{8}{15}[/tex]

tanQ = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{8}{15}[/tex] ≠ [tex]\frac{15}{8}[/tex]

sinP = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ≠ [tex]\frac{8}{17}[/tex]

cosQ = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{15}{17}[/tex] ← correct statement

Answer 2

Answer:

its the cos q = 15/17

Step-by-step explanation:

cos q = 15 (adjacent) / 17 (hypothenuse)


Related Questions

1by2 of x-1 by 2 equals 2x what is the valueof x

Answers

Answer:

[tex]x=-\frac{1}{7}[/tex]

Step-by-step explanation:

Helppppp meeeee pleaseee

Answers

Letter “ E ” and letter “ F ” are the answers
Well, the answer to this question is B and F.
Also, I just want to say happy new year to you and have a fantastic rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you!

I need helpppp, I need to turn this in before class is over

Answers

Answer:

.

Step-by-step explanation:

Answer:

she spends 50% of her budget on her car

Step-by-step explanation:

300 is half of 600. I hope this helps :)

Line p intersects line a and b. a b. By which theorem is a1 ≈ a8

PLEASE HELP!!

Answers

Answer:

option a

Step-by-step explanation:

alternate exterior angle theorem

What is 2+2


A) 22

B) 4

C) 38

D) 55

Answers

Answer:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

How many lines of symmetry does this figure have?
A. 1
B. 2
C. 4
D. 8
E. 14

Answers

2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :)

What is 3.116372 rounded to the nearest hundred thousandths place?

Answers

Answer: 3.11637

Explanation: The hundred thousandths place is in the fifth place after the decimal. To avoid remembering this, you can simply note that the first place after the decimal is the tenths. You simply keep progressing as you would in whole numbers.

For example 10 becomes 100 when a zero is added. This zero is always added right beside the first zero and indicates the hundreds place.

Furthermore, the general rule for rounding is if the number after the preferred rounding place is 4 or less, the number remains the same. 5 or more means it goes up by one digit.

Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p

Hello Pleasa help ASAP !!!!

Answers

Would have to go with A.

Most of us have to invest in study time for recall at test time.

please help me on this!

Answers

Answer:

9*572=5148

Step-by-step explanation:

Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ

Answers

Answer:

Through pythogoras theorem

a^2+b^2=c^2

20^2+16^2=c^2

c^2=400+256

c^2= 656

c= square root of 656

c=25.6 inches or 30 inches

Missing side 25.6 inches or 30 inches

c^2 = a^2 + b^2

c^2 = 16^2 + 20^2

c^2 = 256 + 400

c^2 = 656

Now, square root both sides to find the missing length of c or the hypontenuse.

Answer: c = 25.6 inches

Plzzzzzz help meeeeeee

Answers

Answer:

-10

Step-by-step explanation:

hope it helps

Answer:

blue point value is -10

Step-by-step explanation:

First lets find the difference between each point on the line,

The gap between 10 and 2 has 2 points

So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,

So 8/2 = 4 is the difference between each point from top to bottom.

There is 3 points after 2 to reach blue,

So 4 x 3 = 12, is the difference in value between point C(2) and point blue,

So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10

Therefore the value of blue point is -10

Happy to help :)

What is 4.4% of 625?

Answers

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

The bowling alley charges a set fee for shoe rental and charges per game bowled. The total
cost of bowling can be modeled by c(b) = 5.75b + 4.25 Which statements about the function
are true?
I.
The cost for each game of bowling is $5.75.
II.
The shoes cost $5.75 to rent.
III.
The number of games bowled is represented by b.
1.
I and II only
2.
I and III only
3.
II and III only
4.
I, II and III
Submit Answer

Answers

Answer: (2.)

1 and 111 only

Step-by-step explanation:

Matthew drives at an average speed of 62 mph for 5 hours
B) how many miles does Matthew drive

Answers

Matthew drives 310 miles

Answer:

310

Step-by-step explanation:

62 multiplied by 5 will get you the answer

Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?

Answers

You’re gonna have to take a picture, I can’t understand


15 POINTS HELPPPP


1. Object B has more mass than Object A. How would the velocity of Object B change if you exerted
the same strength force on Object B as you did on Object A? Why?

Answers

im late do you still need the answer aa it wont send hope that helps
Is it already due????????

Michael read 135 pages in 90 minutes. Select all of the rates that have the same constant rate of change as Michael's rate. 180 pages in 2 hours 180 pages in 2 , hours 60 pages in 30 minutes 60 pages in 30 , minutes 108 pages in 212 hours 108 pages in 21 half , hours 150 pages in 1 hour 150 pages in 1 , hour 225 pages in 150 minutes 225 pages in 150, minutes 210 pages in 2 hour 20 minutes

Answers

Answer:

180 pages in 2 hours

225 pages in 150 minutes

210 pages in 2 hours 20 minutes

Step-by-step explanation:

135 pages : 90 minutes

= 135/90

= 3/2

= 3 : 2

180 pages : 2 hours

180 pages : 120 minutes

= 180/120

= 3/2

= 3:2

60 pages : 30 minutes

= 60/30

= 2/1

= 2:1

108 pages : 2 1/2 hours

108 pages : 180 minutes

= 108/180

= 18/30

= 3/5

= 3:5

150 pages : 1 hour

150 : 60

= 150/60

= 10/6

= 5/3

= 5:3

225 pages : 150 minutes

= 225/150

= 9/6

= 3/2

= 3:2

210 pages : 2 hours 20 minutes

210 pages : 140 minutes

= 210/140

= 3/2

= 3:2

The system shown is blank.

a.) inconsistent
b.) equivalent
c.) ​consistent​

Answers

Answer:

I think it's consistent

Step-by-step explanation:

PIZZZ HURRY IM IN A RUSH .-.!!!Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?

Answers

Answer:

In my opinion this is the whole w

Step-by-step explanation:

A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;

a). With replacement
i). Both are red
ii). One is black and the other yellow

b). Without replacement
i). Both are red
ii). One is black and the other yellow ​

Answers

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

The probabilities are; 1/16, 5/36, 5/96 and 20/69

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

-3(x-4) = -9(x - 1)
X=?

Answers

Answer:

x = - 1/2

Step-by-step explanation:

-3(x-4) = -9(x - 1)

1. Distributive Property

-3 * x -3 *-4 = -9 * x -9 * -1

-3x + 12 = -9x + 9

Hint: 2 negatives make a postive

-3x + 12 = -9x + 9

2. Subtract 12 on both sides

-3x + 12 - 12 = -9x + 9 - 12

-3x = -9x + -3

3. Add 9x on both sides

-3x + 9x = -9x + 9x + -3

6x = -3

4. Divide both sides by 6 to isolate the variable

6x/6 = -3/6

x = - 1/2

Check:

-3(-1/2-4) = -9( -1/2- 1)

3/2 + 12 = 9/2 + 9

3/2 + 12 ( we need a common denominator so...lets make it  2 )

3/2 + 12*2/1*2

3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5

Now...

9/2 + 9 ( we need a common denominator so..lets make it 2 )

9/2 + 9*2/1*2

9/2 + 18/2 = 27/2 = 13 1/2 = 13.5

13.5 = 13.5 CORRECT!

27/2 = improper fraction

13 1/2 = mixed number

13.5= decimal form

Hope this helped

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Answer:

1.AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

2.CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

3.AC corresponds to FD

4.The scale factor is 2 because you would take the sides in ABC and multiply by 2 to get the sides in FED

5.6 because it corresponds to CB  and you would multiply the side of CB (3) by 2 and you would get 6

6.A^2+B^2=C^2   =    FE^2+ED^2=FD^2    =    8^2+6^2=100^2   = square root of 100=   10

The side length of FD is 10

Answer:

Your welcome no need to thank me

Step-by-step explanation:

Work out angle BXC.
Give a reason for each angle you work out.

Answers

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

What s transversal?

"It is a line that passes through two lines in the same plane at two different points."

What are parallel lines?

"These are the lines in the same plane that are at equal distance from each other and never meet."

What are isosceles triangle?

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

https://brainly.com/question/15464186

#SPJ2

help me, please math

Answers

Answer:

i think its c

Step-by-step explanation:

Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.

Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}

Which statement is true for the data sets?

A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.

Answers

Answer:

B.  The mean study time of students in Class B is less than students in Class  A

Step-by-step explanation:

Class A:

{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}

Number = 20Sum = 96Mean = 96/20 = 4.8Range = 8 - 2 = 6

Class B:

{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}

Number = 20Sum = 80Mean = 80/20 = 4Range = 7 - 2 = 5

Correct option is B

Simplify the expression so there is only one positive power for each base. ​

Answers

i hope you understand

uhm please help me
I’m not really good at Math as you can tell :(

Also: Don’t mind the tabs (^^;)

Answers

Answer:

5 37.50

10 75

hope it helps

Step-by-step explanation:

prove me wrong

Answer:

Lol the you tube tab though XD

Step-by-step explanation:

A person invests 3000 dollars in a bank. The bank pays 4.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5600 dollars?

Answers

Answer:

The person must leave the money for approximately 14.8 years.

Step-by-step explanation:

This can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n …………………………………. (1)

Where;

FV = Future value of the investment = 5600

PV = Present value of the investment = 3000

r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125

n = number of semiannuals = ?

Substitute the values into equation (1) and solve for n, we have:

5600 = 3000 * (1 + 0.02125)^n

5600 / 3000 = 1.02125^n

1.02125^n = 1.86666666666667

Loglinearizing both sides, we have:

nlog1.02125 = log1.86666666666667

n = log1.86666666666667 / log1.02125

n = 0.271066772286539 / 0.0091320695404719

n = 29.6829509548973

Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:

Number of years = 29.6829509548973 / 2 = 14.8414754774487

Rounding to the nearest tenth of year, we have:

Number of years = 14.8

Therefore, the person must leave the money for approximately 14.8 years.

The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of

each square?

Answers

9514 1404 393

Answer:

10 ft7 ft

Step-by-step explanation:

The side lengths are 1/4 of the perimeter, so we can say ...

  the sum of side lengths is 68 ft/4 = 17 ft

  the difference of side lengths is 12 ft/4 = 3 ft

Using x to represent the side length of the smaller square, we have ...

  x + (x +3) = 17 . . . . . . the larger square has side length x+3

  2x = 14 . . . . . . . . . subtract 3

  x = 7 . . . . . . . . divide by 2

The side lengths of the squares are 7 feet and 10 feet.

help pls1ssssssssssssssssssssss

Answers

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

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