Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangle PQR?

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

Answer:

10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

scale factor = [tex]\frac{PQ}{XY}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

That is the sides of Δ PQR are half those of Δ XYZ, thus

The perimeter of Δ PQR is half Δ XYZ, that is

perimeter of Δ PQR = [tex]\frac{1}{2}[/tex] × 20 = 10


Related Questions

Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?

Answers

Answer:

In 4 Hours

Step-by-step explanation:

1 hour:   A: 30.25           B: 34.25

2 hours: A: 35.5             B: 38.5

3 Hours: A: 40.75          B: 42.75

4 Hours: A: 46                B: 46

b). Kirchoff has more money than Maxi. If Kirchoff gave Maxi $20, they would have the
same amount. While it Maxi gave Kirchoff $22, Kirchoff would then have twice as much as
Maxi. How much does each one actually have?​

Answers

Answer:

k = 146

m= 106

Kirchoff has $146

Maxi has $106

Step-by-step explanation:

For the purpose of the equations, I’ll call Kirchoff and Maxi a and b respectively.

a - 20 = b + 20 (equation 1)

2(b - 22) = a + 22 (equation 2)

We can juggle those around for

a = b +40 (equation 1r (re-arranged)) and

2b - 44 = a + 22 so 2b - 66 = a (equation 2r (rearranged))

The equations are now:

a = b + 40 (new equation 1) and

a = 2b - 66 (new equation 2)

Substitute from new equation 1 to new equation 2:

b + 40 = 2b - 66 so 40 = b - 66 making b = 106.

Plug b = 106 into new equations 1 and 2 for:

a = 106 + 40 (new equation 1) and

a = 212 - 66 (new equation 2)

This gives a = 146 and b = 106

TEST: There’s a gap of $40, so giving $20 from a to b makes them equal.

SECOND TEST: Subtracting $22 from b makes it $84 and giving that sum to a makes it $168, twice as much. The tests work.

Kirchoff has $146 and Maxi has $106.

Solve for the value of x. ​

Answers

Answer:

x= 12

Step-by-step explanation:

The sum of both of the equasions equal up to 180. so you set up the problem like this:

(9x-4)+(6x+4)=180

15x=180

x=12

To check;

(9(12)-4)+(6(12)+4)=180

104+76=180

The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?

Answers

Answer is 3.6

Hope this helps

04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations

Answers

Answer:

1st one  m=0

y= 0.49875311x  / cm

No horizonal asymptotes

x= 1/2 + 2.005 mcy

2nd one is

slope 1/2

y intercept (0,2)

x      y

-4     0

0       2

Step-by-step explanation:

for 2

starting point ay y 2 make a point

then rise over run

go up 1 and to the right 2 and point , then up 1 and to the right 2 and point

there is your graph

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

what is the slope of this graph?​

Answers

The second choice is corrcet

Answer:

It is -2/3

Step-by-step explanation:

If 3x - 6 = 21, what is the value of x - 2 ?

Answers

3x-6=21
Or,3x=27
Or,x=27/3
Or,x=9
So,Now,
X-2=9-2
=7
Hope it helps

The value  of x - 2 in the equation 3x - 6 = 21 is 7.

What is an equation ?

An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.

According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.

∴ 3x - 6 = 21.

3x = 21 + 6.

3x = 27.

x = 27/3.

x = 9.

So, the value of (x-2) will be (9-2) = 7.

l;earn more about equation here :

https://brainly.com/question/10413253

#SPJ2

write the algebraic expression that represents the following

b. Five less than the quotient of nine and a number
c. One half of the sum of six times a number and twenty-two
d. Nine less than twice the difference between a number and seven
e. Eleven less than a number squared​

Answers

Answer:

9x -5

1/2(6x +22)

2(x-7)-9

x2 -11

what is the
507
If the probability that a person will die in the next year is
507/100,000 what is the
probability that the person will not die in the next year?
A. 99493
B. 99%
C. 0.99493
D. 0.99507

Answers

Answer:

C. 0.99493

Step-by-step explanation:

Hope this helps!

The probability that the person will not die in the next year should be considered as the 0.00943.

Calculation of the probability:

Since

the probability that a person will die in the next year is 507/100,000

So, it can be like

[tex]= (100,000 - 507) \div 100,000[/tex]

= 0.99493

hence, The probability that the person will not die in the next year should be considered as the 0.00943.

Learn more about probability here: https://brainly.com/question/16096170

Does this look good I made it this morning

Answers

Answer:

looks delicious

Step-by-step explanation:

Answer:

Man looks so good!

Step-by-step explanation:

Send me some in the mail. lol ☺☻♥

find the angle represented by x ( round the nearest tenth of a degree) A 16.2 B 16.4 c17.1 d17.4

Answers

Answer:

B. 16.4°

Step-by-step explanation:

reference angle = x = [tex] \theta [/tex]

Side length opposite to x = 20 ft = opp

Adjacent side length = 68 ft = adj

Apply the following trigonometric ratios formula:

[tex] tan(\theta) = \frac{opp}{adj} [/tex]

Plug in the values into the formula

[tex] tan(x) = \frac{20}{68} [/tex]

[tex] tan(x) = 0.2941 [/tex]

[tex] x = tan^{-1}(0.2941) [/tex]

[tex] x = 16.3886 [/tex]

x = 16.4° (nearest tenth)

Answer:

B. 16.4

Step-by-step explanation:

Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?

Answers

Answer:

En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.

Step-by-step explanation:

De acuerdo a la información, puedes escribir las siguientes ecuaciones:

x+y+z=802 (1)

5x+10y+z=1782 (2)

x=10y (3)

Primero debes reemplazar (3) en (1) y (2):

10y+y+z=802

11y+z=802 (4)

5(10y)+10y+z=1782

50y+10y+z=1782

60y+z=1782 (5)

Ahora, tienes dos ecuaciones:

11y+z=802 (4)

60y+z=1782 (5)

Puedes despejar z en (4):

z=802-11y (6)

Después, puedes reemplazar (6) en (5):

60y+802-11y=1782

49y=1782-802

y=980/49

y=20

Puedes reemplazar el valor de y en (3) para encontrar x:

x=10y

x=10(20)

x=200

Puedes reemplazar el valor de y en (6) para encontrar z:

z=802-11(20)

z=802-220

z=582

De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.

a=3b+4c-a is this a litteral equation

Answers

Answer:

a= 3b+4c/2

Step-by-step explanation:

2a=3b+4c

a= 3b+4c/2

Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300

Answers

Answer:

c)15

Step-by-step explanation:

Confirmed by rsm

A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 15% of x equals 20% of y. Therefore, we can write,

15% of x = 20% of y

(15/100) × x = (20/100) × y

Multiply both the sides of the equation by 100,

(15/100) × x × 100 = (20/100) × y × 100

15x = 20y

x/y = 20/15

Divide both the sides of the equation by 5,

x/y = 4/3

Now, the percentage of x that is y is,

Percentage = (x/y) × 100%

                   = (x/y) × 100%

                   = (4/3) × 100%

                   = 133.33%

                   = 133 ¹/₃ %

Hence, x is 133.33¹/₃% of y.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29

Answers

Answer:

B, 36

Because, a composite number has factors

The others are prime

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0

Answers

Answer:

I think -4

Step-by-step explanation:

help pls, this is geometry

Answers

Answer:

sas - meaning side angle side

Step-by-step explanation:

The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.

Answers

Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]

Let, time taken to cover 2.4 miles is t .

So,

[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]

Hence, this is the required solution.


PLEASE HELP ME ASAP

Solve for x in the diagram below

Answers

Answer:

x=12

Step-by-step explanation:

The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12

Answer:

[tex]\huge\boxed{\sf x = 12}[/tex]

Step-by-step explanation:

6x - 2 + 20 = 90     [Complementary Angles]

6x + 18 = 90

Subtracting 18 to both sides

6x = 90 - 18

6x = 72

Dividing both sides by 6

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?

Answers

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

Solving systems of equations x+y=10 y=x-4

Answers

Answer:

(7,3)

Step-by-step explanation:

What is 6.02 x 10^5 written in standard form?

Answers

Answer:

602,000

Step-by-step explanation:

Answer:

602,0000

Step-by-step explanation:

10^5 = 100,000

6.02 x 100,000

I simply moved the numbers forward by 5 spaces.

22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2

there are 12 inches in a foot how many square inches are in 1 1/2 feet

Answers

Answer:

144.

The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.

By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices​

Answers

Answer:

34 edges

Step-by-step explanation:

Euler's formula for polyhedron states

F + V - E = 2

where F is number of faces, V, number of vertices, E number of edges

Here F = 16, V = 20, thus

16 + 20 - E = 2, that is

36 - E = 2 ( subtract 36 from both sides )

- E = - 34 ( multiply both sides by - 1 )

E = 34

Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?

Answers

Answer:

y=4, y=2

Step-by-step explanation:

It is possible to get 2 solutions when the system of equations is: (check all that apply)

A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation

Answers

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]

[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]  so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]

so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])

A system of the equation of a parabola and a linear equation

Let equation of Parabola be [tex]y^2 = x[/tex]

and linear equation y = x

substitute

[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]

Y = 0,1

so the two solutions will be (0,0) and (1,1)

Find the zeros for the given equation hurry!!!!

Answers

Answer:

x = 3 and -1

Step-by-step explanation:

5(x²-2x-3)

(x-3)(x+1)

Answer:

Zero's are: x= 3, -1

Step-by-step explanation:

With factoring, and determining the middle ground, finding the zeroes will come back to this result.

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

C.) 8

Step-by-step explanation:

1 1/2 / 3/16 = 8

Answer:

Its c

Step-by-step explanation:

you convert 1 1/2 into 1 8/16, divided by 3/16. which gives you your answer.

Other Questions
You then calculate the KDto be 6 x 10-4M to HERI and 2 x 10-3M to HERIII. What is the specificity of your drug? Why is our mindset more important when you try to learn remotely than when you are learning face to face? A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3 What was the purpose of the Sadler report?to increase efficiency for factory ownersto increase profits for factory ownersto improve conditions for child workersto study the effects of factories on child workers Help!!!! I don't get this!!!!!! Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years? Sovle -5x + 8 < - 2x + 23 ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65 and the temperature will increase the rate of 10 per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven t minutes after being turned on One morning Peter and Tony got up early to go .. They cycled to a small beach where .. "We want to go ," they told an old fisherman. "Will you lend us your rowing-boat so that ?" "Yes, but you must not .," the fisherman said. "The sea is very rough over there." The two boys climbed into the boat and .. They rowed quickly towards the small island which Which two bonds are most similar in polarity? Which two bonds are most similar in polarity? O-F and Cl-F B-F and Cl-F I-Br and Si-Cl Al-Cl and I-Br C-Cl and Be-Cl Rearrange the formula to solve for the cost of goods sold (C). help me pls >>???????????????? Which graph represents the function -2x - 5y = -10? Please explain!! What caused the creation of Veterans Day? What is the answer? I can not figure it out at all Ive been lookin forever now plz help! Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.According to this system of equations, can Leanne meet both her goals? A. Yes, she can run on the treadmill for 15 minutes 28 seconds. B. No, she cannot ride the exercise bike a negative number of minutes. C. Yes, she can ride the exercise bike for 15 minutes 28 seconds. D. No, she cannot run on the treadmill for a fractional number of minutes. deduct 18.729 from the sum of 29.178 and 9.65 Gena wants to estimate the quotient of 21.87 divided by 4.79. Which expression shows the best expression to estimate the quotient using front-end estimation?a) -214b) -215c) -204d) -205p.s, Daily question! What's your favorite song? (WILL GIVE BRAINLIEST!) Summarize the key developments in the early transportational revolution of the early 1800s.