In ∆PQR, m P = 60°, m Q = 30°, and m R = 90°. Which of the following statements about ∆PQR are true? Check all that apply.

A. PQ = √3 • PR

B. PQ = 2 • PR

C. QR = 2 • PR

D. QR = √3/2 • PQ

E. QR = √3 • PR

F. PR = √3/2 • PQ​

Answers

Answer 1

Answer:

C. QR = 2 • PR

Step-by-step explanation:

According to given information we can draw a right triangle with angle measures as follows :

30-60-90 and for this special right triangle the side length would follow as:

The side length that sees angle measure 30 = a

The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]

The side length that sees angle measure 90 = 2a

following this information the:

PR(sees 30 degrees) = a (can be represented as PR in this case)

and so

QR(sees 90 degrees) = 2a (2*PR  in this case)

PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)

The correct option is C. QR = 2 • PR


Related Questions

Someone tell me if I’m right

Answers

Answer:

Yes you are correct

Step-by-step explanation:

NO LINKS OR ASSESSMENT!!

8. Graph the image of the figure using the transformation given. Don't forget prime marks on your new image. ​

Answers

Answer:

See below

Step-by-step explanation:

Use points:

J(-2, -4), K(-3, -3), L(-5, -5)

Apply the rule:

(x, y) → (x + 2, y + 4)

New points are:

J'(0, 0), K'(-1, 1), L'(-3, -1)

Step-by-step explanation:

Given :

J (-2,-4)

K (-3,-3)

L (-5, -5)

RULES

2 unit right 4 unit ups

=> (x + 2, y + 4)

Transformation

J

(-2,-4)

= (-2 + 2, -4 + 4)

= (0,0)

K

(-3,-3)

= (-3 + 2, -3 + 4)

= (-1, 1)

L

(-5, -5)

= (-5 + 2, - 5 + 4)

= (-3, -1)

Find the perimeter P of
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lab

Answers

Answer:

P = 3.6 + 6 + 3.6 + 6 = 19.2 units

Step-by-step explanation:

distance between (-3,-2) and (-5,-5) =

Sqrt[(-5-3)^2+(-5 - -2)^2]

Sqrt (4+9) = 3.6

d = (-5,-5) and (1,-5) =

Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]

= sqrt (36 + 0) = 6

d = (1,5) and (3,-2)

Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]

Sqrt(4+9) = 3.6

d = (3,-2) and (-3,-2)

Sqrt[(-3-3)^2 + (-2 - - 2)^2]

Sqrt (36+0) = 6

b. One room is 8 ft wide and 12 ft long.
Another room is 9 ft wide and 15 ft
long. What is the difference in area?

Answers

Answer:

12-8

15-9

Step-by-step explanation:

For the Gross Pay of $432.00, what is (a) the Social Security Tax, (b) Medicare Tax Withheld, and (c) Total Deduction.

For this problem use the Social Security tax rate of 6.2% and Medicare tax rate of 1.45% to determine each tax and the total deduction.

Answers

It’s b took the test

Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:

Answers

Answer:

9a-3

Step-by-step explanation:

a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3

If = √
2 +
2,then p, in terms of a and q, is .... ?

Answers

Answer:

kjhgikoljuuihg

Step-by-step explanation:

bgkjm

Given the graph of a proportional relationship, if the (2,7) lies on the graph, what is the value of k? What is the equation of the line?

Answers

Answer:

k=3.5, and y=3.5x is the equation of the line

Step-by-step explanation:

y and x are proportional means that y = kx for some constant k.

Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,

and the equation of the line is y = 3.5x

whats 4(-2-9.2x)=3(2-7.6x) solve for x

Answers

Answer:

x = -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]

Step 2: Add 22.8x to both sides.

[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]

Step 3: Add 8 to both sides.

[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]

Step 4: Divide both sides by -14.

[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]

Therefore, x = -1.

The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.

What is the solution to the equation?

Given the equation in the question:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

4 × -2 + 4 × -9.2x  = 3( 2 - 7.6x )

-8 - 36.8x = 3( 2 - 7.6x )

-8 - 36.8x = 3 × 2 + 3 × -7.6x

-8 - 36.8x = 6 - 22.8x

Collect like terms:

-8 = 6 - 22.8x + 36.8x

-8 - 6 = - 22.8x + 36.8x

Add like terms:

-14 = 14x

14x = -14

Divide both sides by 14:

x = -14/14

x = -1

Therefore, the value of x is -1.

Learn more about equations here: brainly.com/question/14686792

#SPJ3

4343555555555555555X466666666666646

Answers

Dude what is this-
The Calculator don’t even know this

Using the numbers 1 to 9 as many times as you want, fill in the boxes to create three equivalent ratios. I'll give Brainliest I need this right now please! ​

Answers

Answer:

1 : 2  =  3 : 6  =  4 : 8

Step-by-step explanation:

All three ratios equal 1/2, so all three ratios are equal to each other.

Hopefully this helps!

Brainliest please?

solve pls brainliest

Answers

Answer: 0.2

happy learning

HELP MEEEEE PLZZZZZ!!!

Answers

Answer:

75.02 ft and 64.62 ft.

plz help me I'm about to cry

Answers

Answer:

yyy i will help....... dont cry

If a new car is valued at $20,600 and 8 years later it is valued at $7000, then what is the average rate of change of its value during those 8 years?

Answers

The average rate would be 2.9 because 20,600 divided by 7000 is 2.9

Which fraction is less than 1?

The following choices have been given to you, remember to hand in PROPER answers and not trolls. A screenshot of the page has been provided to you for help, thank you to those who helped us.

Answers

Answer:

1/5

Step-by-step explanation:

The other answers (in order) equal 5, 1 and 1/5, and 2, so the only other option left is 1/5.

Answer :1/5
Explanation:

Neeeed asapppp!!!!!!!!!

Answers

Answer:

NM

Step-by-step explanation:

The hypotenuse is always the longest side.

Answer: Side MN

Explanation:

For any triangle, the longest side is always opposite the largest angle.

Which leg is adjacent to 0? ​

Answers

ED is the adjacent leg to 0.

Shureka Washburn has scores of 62,81,76​, and 59 on her algebra tests. a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 72 or​ higher, given that the final exam counts as two tests. b. Explain the meaning of the answer to part​ (a).

Answers

Answer:

54

Step-by-step explanation:

if f(x)=-4x-5 and g(x)=3-x, what is f(5)?

Answers

Answer:

f(5)=

[tex] = 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15[/tex]

A raindrop fallsat a rate of 4/50mile in 1/20hour. At this rate, how far will the raindroptravelin 1 hour?(60 minutes)

Answers

Answer:

Step-by-step explanation:

1/20 hour = 5 minutes

(We can now call 1/20 of an hour 5 minutes)

If it falls 4/50 of a mile in 5 minutes (1/20 of an hour),

we do 4/50 * 12 because there are 12 5-minute intervals in an hour/

4/50 * 12 = 48/50 = 24/25 of a mile

Therefore, the raindrop will travel 24/25 of a mile in an hour.

The distance of the raindrop in an hour will be 24/25 miles.

What is speed?

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and is described by its magnitude only.

Given that A raindrop falls at a rate of 4/50 mile in 1/20 hour. The distance in an hour will be calculated as:-

If it falls 4/50 of a mile in 5 minutes ( 1/20 of an hour ),

Distance = 4/50 x 12

Distance = 4/50 x 12

Distance = 48/50

Distance = 24/25 of a mile

Therefore, the distance of the raindrop in an hour will be 24/25 miles.

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ2

A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth. Enter the answer in the box.

seconds=

Answers

Answer:

13.245 rounded to the nearest tenth is 13.2 seconds

Step-by-step explanation:

Ro round a number to the nearest 10, look at the units digit. If the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

Answer:

13.250

Step-by-step explanation:

befause number five is near ten

Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUST
be correct about the line of best fit for the data in the scatter plot?

Answers

Answer:

As the x increases, the y increases. The line will have a positive slope.

A Scatter Plot has points that show the relationship between two sets of data and the points are plotted on horizontal and vertical axes.

The statement about the line of best fit for the data in the scatter plot is the line must have a positive slope.

What is a scatter plot?

A Scatter Plot has points that show the relationship between two sets of data. The points are plotted on horizontal and vertical axes.

We have,

A positive linear association between two quantities variables.

Positive linear association means:

If one variable increases as the other variable increases.

Negative association means:

If one variable increases and the other variable decreases.

No association means:

There is no relationship between the variables.

Thus the statement about the line of best fit for the data in the scatter plot is the line must have a positive slope.

Learn more about scatter plots here:

https://brainly.com/question/13984412

#SPJ5

The complete question is:

Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUST be correct about the line of best fit for the data in the scatter plot?

The line must have a positive x-intercept.

The line must have a positive y-intercept.

The line must have a positive slope.

The line must have no slope.

How can the vertex of a parabola be used in solving
real-world problems?

Answers

Answer:

The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions

Step-by-step explanation:

hope this helps^^

brainliest maybe??<3

Will mark brainliest for all 4 :)

Answers

Answer:

1=2 weekday  3 weekend

2=4 weekend 8 weekday

3=?

4=3 bleachers 4 lawn

Step-by-step explanation:

You’re recording inventory after a big weekend sale in the travel section of a department store. There are 20 remaining suitcases, of which 16 will be further marked down. True or False: The fraction 2016
20
16
is in the simplest form.

Answers

Answer:

false

Step-by-step explanation:

Given that the remaining suitcases is 20

And 16 of the remainig suitcases will be further marked down, then the simplest form will be;

16/20.

The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?​

Answers

9514 1404 393

Answer:

  (a) 3%

  (b) sh 3915

Step-by-step explanation:

a) The extra amount is ...

   10815 -10500 = 315

As a percentage of the marked price, this is ...

  315/10500 × 100% = 3%

__

b) The total paid is the sum of the down payment and the monthly installments:

  10815 = down + 1150×6

  10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides

  down = 3915 . . . . . . . . . evaluate

The deposit paid was sh 3915.

Subtract. What is the difference (9 x 1010) – (4 x 1010) in scientific
notation?
?
(9* 1019) - (4 1019 = ? * 10
DONE

Answers

Answer:

5.05 x 10^3

Step-by-step explanation:

Question is in picture. Please help

Answers

Answer:

Step-by-step explanation:

441 km in 45s does

215 km in 25s doesnt

649 km in 110s doesnt

9) What 2 numbers have a total of 28 and a difference of 6?

Answers

Answer:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Step-by-step explanation:

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

Now solve equation B for x to get the revised equation B:

x - y = 6

x = 6 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28

6 + y + y = 28

6 + 2y = 28

2y = 22

y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 28

x + 11 = 28

X = 17

Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Answer:

17 +11 = 28

hope this helps

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