What is the length of PR?
15
25°
P 5
E
1140
Q
25°
1140
X
21
R
F

What Is The Length Of PR?1525P 5E1140Q251140X21RF

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Since the triangles are similar, we can use ratios

15        21

----- = ---------

5         PR

Using cross products

15 PR = 21*5

Divide each side by 15

PR = 21*5/15

PR = 7

Answer 2

Answer: yes it would be 7

Step-by-step explanation:


Related Questions

Find the value of b. Round your answer to the nearest tenth.


The figure shows acute triangle A B C. The measure of angle B is 40 degrees. The length of side A B is 10. The length of side B C is 12. The length of side C A is b.

Answers

Answer:

Side CA = 7.8

Step-by-step explanation:

Given:

Acute angled [tex]\triangle ABC[/tex].

[tex]\angle B =40^\circ[/tex]

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

Formula for cosine rule:

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

[tex]cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76[/tex]

To the nearest tenth b = 7.8

15 POINTS!!!!! suppose f(x)=x find the graph of f(x+2) please include what the graph would look like

Answers

Answer:

The graph f(x+2) would make the graph go left by 2 units.

Step-by-step explanation:

Using graph transformations, adding two would make the graph go left 2 and subtracting would make it go right 2

In this activity, you will use a variable to create expressions for various relationships. Then you will use these expressions to form a linear equation. Finally, you will find the solution to the equation. Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is inches shorter than times Theresa’s height. Steve says he is inches shorter than times Theresa’s height. If they are both right, how tall is Theresa? To solve a problem like this one, you can use a linear equation where the variable represents Theresa’s height in inches. Let represent Theresa’s height in inches. Question 1 The relationships for Paul’s and Steve’s height with respect to Theresa’s height are described above. First you will write expressions for Paul’s height and for Steve’s height. Then you will relate the expressions. Part B Write an expression to represent Steve’s height in inches.

Answers

Answer:

Step-by-step explanation:

Some information is missing. The correct question is:

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa?

Solution:

Let p represent Paul's height

Let s represent Steve's height

Let t represent Theresa's height

Since Paul and Steve are both of the same height, it means that p = s

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. It means that

p = 1.5t - 16

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. It means that

s = 4t/3 - 6

Since p = s, then

p = 4t/3 - 6

Therefore, it means that

1.5t - 16 = 4t/3 - 6

Multiplying through by 3, it becomes

4.5t - 48 = 4t - 18

4.5t - 4t = - 18 + 48

0.5t = 30

t = 30/0.5 = 60 inches

Theresa's height is 60 inches

Answer:

Part A : The expression that represents Paul’s height in inches is

3/2 t - 16

Part B : The expression that represents Steve’s height in inches is

4t/3 - 6

simplify the expression (x - 2y) + (3x + 4y)

Answers

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

8. The length of a side and the corresponding height
of a triangle are (x+3) cm and (2x – 5) cm respectively.
Given that the area of the triangle is 20 cm”, find
the value of x.​

Answers

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = x + 3 and h = 2x - 5 , thus

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )

(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , hence x = 5

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.How many students in the survey said that math was their favorite subject?​

Answers

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020

11. Three men can build a wall in 10 hours. How
many men would be needed to build the wall in
7 hours?

Answers

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:


NEED MATH HELP NOW. Need help find the vertex and y intercept. Please show work.

Answers

Answer:

Vertex:   ( 1 ,  9 )

Y-intercept:   ( 0 ,  8 )

Step-by-step explanation:

y = - (x+2) (x-4)

y = -x² + 2x + 8

Find the vertex.

x = -b/2a

x = -2/2(-1)

x = -2/-2

x = 1

y = -(1)² + 2(1) + 8

y = -1 + 2 + 8

y = 9

Find the y-intercept.

Put x as 0.

y = -(0)² + 2(0) + 8

y = 8

In the diagram, the measure of angle 6 is 98°. what is the measure of angle 7?

Answers

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

Answer: The measure of angle 7 is 82 degrees.

Step-by-step explanation:

Angle  6 and 7  lies on a straight line so they will add up to 180 degrees.

So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.

so we could generate an equation as x + 98 = 180  

x + 98 = 180 solve for x

 -98      -98

x= 82  

Simplify the question
10x /(divide) -2y

Answers

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

  10x

---------

 -2y

                               -5x

This reduces to   ----------

                                  y

someone help me asap please/math 10

Answers

Answer:

Step-by-step explanation:

4.  a) tan x=17/12=1.416

       x=54.8≈55

b)sin  b=78/132=0.59

  b=36.2≈36

cos 28=x/82

x=82*cos 28=82*0.9=73.8

the length of a rectangle is twice its width, the perimeter of it is 36cm. what is the are of it

Answers

Answer: 72 cm²

Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm

So, 2×(2x+x)=36cm

2×3x=36cm

6x=36cm

X=36/6:6cm( width, since width was taken as x)

Length= 2x: 2×6=12cm

So area of the rectangle is( l*b):

12×6= 72cm²

Anyone know this one?

Answers

Answer:

(-3, 5), (1, 4), (-2, 3), and (0, 2).

Step-by-step explanation:

When a function is inverted, the x-values become y-values, and the y-values become x-values.

The ordered pairs for the function are (5, -3), (4, 1), (3, -2), and (2, 0).

After inversion, the ordered pairs will be (-3, 5), (1, 4), (-2, 3), and (0, 2).

Hope this helps!

A page in an average newspaper has 8 columns of print. Each column consists of 160 lines and each line averages 6 words. What's the average number of words on a full page?

Answers

Answer:

7,680

Step-by-step explanation:

A page has 8 columnsEach column consists of 160 lines.Each line averages 6 words.

The average number of words on a full page

=Number of columns X Number of Lines X Number of words per line

=8 X 160 X 6

=7680

The average number of words on a full page is 7,680.

help help meeeee pls

Answers

28/5, you cross multiply so 4/5=y/7 would become 5y=28 then you solve for y from there which becomes 28/5

Classify the following triangle. Check all that apply.

Answers

Answer:

Isosceles, obtuse triangle

Step-by-step explanation:

The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.

The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

a line has a gradient of 4 and passes through the post (1,7). what is the equation?

Answers

Answer:

y = 4x + 3

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 )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

I really need help with this question, it's confusing. It's geometry btw

Answers

Answer:

Two regular nonagons and nine congruent rectangle

Step-by-step explanation:

Two regular nonegon=on the surface and base..

Nine congruent rectangle=look at beside it will be look like 9 rectangle.. I hope it will be right.

Which table represents a linear function

Answers

Answer:

The first photo

Step-by-step explanation:

Its a i think

A herd of bison currently has 55 members. Based on the available resources,
biologists estimate that the size of the herd will increase at a rate of 6% per
year. Which of the following graphs models this relationship, if the x-axis
represents years and the y-axis represents number of bison?

Answers

The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.

We can model this relationship:

[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]

Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest

Answers

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

[tex] \frac{ - 1}{8} [/tex]

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

-3.42, 10.26, -30.78, 92.34, ___,... what is the next number

Answers

Answer:

-277.02

Step-by-step explanation:

Given series:

-3.42, 10.26, -30.78, 92.34,...

We can see the series is a GP with common ratio of -3, as:

10.26/-3.42= -30.78/10.26= 92.34/-30.78= -3

So the next term will be:

92.34 × (-3)= -277.02

prove that the difference between squares of consecutive even numbers is always a multiple of 4

Answers

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

What is the period of the function y= 3/2 cot(3/5x) +5?

A. Pi/5 units

B. 3pi/5 units

C. 2pi/3

D. 5pi/3

Answers

Answer:

D; 5pi/3 units

Step-by-step explanation:

Here, we want to find the period of the function;

y = 3/2 cot (3/5x) + 5

By definition, the period of a function is the interval between two matching points in the function.

Let’s say it is the distance between two peaks, crests, etc on a function.

To find the value of the period. We shall standardize the function.

What this means is that we shall be writing the function in the standard form.

The standard form is as follows;

f(x) = A trig(Bx -C) + D

Where trig refers to the accompanying trigonometric function in question.

Comparing this standard form with our question, we can see that;

A is 3/2

B is 3/5

C is 0

D is 5

Now for cot and tan functions, we shall need to divide pi by the absolute value of B

Thus we have; pi divided by 3/5 which gives 5pi/3 units

Answer:

D. 5pi/3, period is the distance between the repetition of a function.

Step-by-step explanation:

) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such that no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).

Answers

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

4.8x10^-3 as an ordinary number

Answers

Answer:

0.008.

Step-by-step explanation:

10^-3 basically tells you to move the decimal point to the left by three digits.

Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.

Hope this kind of helps!

Answer:

0.008.

hope this helps :)

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.

A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.

Answers

Answer:

B

Step-by-step explanation:

The soccer player has g goals and a assists.

For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.

And, that total number of points is equal to 42, so we can write:

2 * g + 1 * a = 42

2g + a = 42

Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:

g + a = 24

Thus, our system is:

g + a = 24

2g + a = 42

The answer is B.

~ an aesthetics lover

Answer:

The correct answer is B. g + a = 24. 2 g + a = 42

Please help me I will give BRAINLIST and a like :))))

Answers

Answer:

18.75%

Step-by-step explanation:

Hello,

3 students are both female and senior

the total number of students is 7+10+8+5=30

so the probability to select one female senior is 3/30=1/10=0.10

probability to select one female is 16/30=16/30

probability that the student is a senior given that it's female is

=P(female and senior)/P(female)

=1/10*30/16=3/16

hope this helps

Answer:

19%

Step-by-step explanation:

Find the number of female students

3+4+6+3 = 16

P( senior given that it is female = senior/ female

                                                    = 3/16

                                                      =.1875

                                                       18.75%

To the nearest whole percent   19%

Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem.

Answers

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

This can have more than one option answer this fast in two minutes

Answers

Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.

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