In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triangle XYZ?

In Addition To The Information Given Below In The Drawing, Which Statement Is Sufficient To Prove Triangle

Answers

Answer 1
D

XZ : YZ = 5:8

3 * XY = 27 (9*3 = 27)

3*XZ : 3*YZ = 3*5 : 3*8

SW : TW = 15 : 24

SW = 15 and TW = 24
Answer 2

The additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24

What are similar triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

Given that, two triangles STW and XYZ, ST = 27, XY = 9, YZ = 8 and XZ = 5

We need to select a statement which will complete the proof of Δ STW ~ Δ XYZ

We know that, Similar triangles have the same corresponding angle measures and proportional side lengths.

If we consider Δ STW ~ Δ XYZ,then we get,

ST / XY = TW / YZ = SW / XZ = 3

Therefore,

SW / XZ = 3

SW / 5 = 3

SW = 15

Also,

TW / YZ = 3

TW / 8 = 3

TW = 24

Hence, the additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24

Learn more about similar triangles, click;

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Related Questions

A city is growing at a rate of 8 percent per year. What multiplier is used to find
the new population each year?

Answers

Answer:

1.08

Step-by-step explanation:

This is because it grows upon itself so it starts with a multiplier of 1, but it is growing with .08 (8 percent) on itself so you add these two numbers together to get 1.08

En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grande circular de 75 cm de radio y plato pequeño circular de 13 cm de radio. ¿Calcula cuánta fuerza hay que hacer en el émbolo pequeño para elevar al paquidermo?

Answers

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)

Donde:

[tex]F_{1}[/tex] - Fuerza experimentada por el elefante, medida en newtons.

[tex]F_{2}[/tex] - Fuerza aplicada sobre el plato pequeño, medida en newtons.

[tex]A_{1}[/tex] - Área del plato grande, medida en metros cuadrados.

[tex]A_{2}[/tex] - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

[tex]F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}[/tex]

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

[tex]F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g[/tex] (2)

Donde:

[tex]D_{1}[/tex] - Diámetro del plato grande, medido en centímetros.

[tex]D_{2}[/tex] - Diámetro del plato pequeño, medido en centímetros.

[tex]m[/tex] - Masa del elefante, medida en kilogramos.

[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo cuadrado.

Si sabemos que [tex]D_{1} = 0.75\,m[/tex], [tex]D_{2} = 0.13\,m[/tex], [tex]m = 2900\,kg[/tex] y [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], entonces la fuerza a aplicar al émbolo pequeño es:

[tex]F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F_{2} = 854.473\,N[/tex]

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

THE QUESTION IS ON THE PICTURE!​

Answers

Answer:

24/36

Step-by-step explanation:

Have a nice day..........

In a game, the probability that a spinner will land on blue is 1/4. How many times would you expect to land on blue if you spin the spinner 8 times?

Answers

Answer:

2 times

Step-by-step explanation:

(5x + 2)
72°
I need help pls fast asap

Answers

69818247034ue8e83884647

Answer:

The answer is probably = 360° x+ 144°

Can you help me find the value of x is.

a. 132
b. 200
c. 228
d. 256​

Answers

Answer:

C

Step-by-step explanation:

C

Lines a b c and d are shown below. Which lines are parallel? Which line are perpendicular? Explain and jutsify your answer using slopes

Answers

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

[tex]m = \frac{-2}{2 +1}[/tex]

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

[tex]y = -\frac{3}{2}x -3[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

find the midpoint and distance of Z(4, 6) , F(7, 1)
( X2 - X1 ) (Y2 - Y1 )
PLEASE HURRY
ALSO PLEASE SHOW WORK

Answers

Answer:

mid point = (5.5,3.5) distance = 5.830951895

Step-by-step explanation:

4+7=11, 11/2 = 5.5

6+1=7, 7/2 = 3.5

root (7-4)^2 + (1-6)^2 = 5.830951895

Which of the following transforms y= x2
the
graph of y = (x + 5)2 ?
a translation 5 units to the right
a translation 5 units to the left

a translation 5 units down

a translation 5 units up
hing

Answers

Answer:

a translation 5 units to the left

Step-by-step explanation:

                                                 Answer

                                       Part 1: B. 5 units left

                                     Part 2: C. 7 units down

                                             Hope it helps!

                                     Have an amazing day!!

                                                     ^ω^

-- FTS

How many solutions does the following. system of equations have? 6x-3y= -9 y=2x+3. one solution, infinitely many solutions or no solution?​

Answers

Answer:

      D    on edg

Step-by-step explanation:

Below are Erica’s bowling scores from her last five games.

89, 98, 110, 98, 105

Erica added up all her scores and divided by 5. Which measure of central tendency did she find?

Question 1 options:

Mean


Median


Mode


Range

Answers

Answer:

Mean

Step-by-step explanation:

Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.

A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.

20.00 = c + 9.79

What is the value of c, and what does it represent in this problem?
The value is $10.21, and it shows the cost of Pablo’s lunch.
The value is $29.79, and it shows the cost of Pablo’s lunch.
The value is $10.21, and it shows the change received
The value is $29.79, and it shows the change Pablo received

Answers

Answer:

The value is $10.21, and it shows the change received

Step-by-step explanation:

I know for a fact it is 10.21 but since there is no graph and from what you told I believe this is the answer. Brainliest please ???

72 precent is equal to 80% of a number n, what is n? write your answer as a decimal

Answers

Answer:

n=90

Step-by-step explanation:

80% as a decimal is 0.80

0.80n = 72

n = 72/0.80

n = 90

 

Not my work

the median of 2,3,3,4,5,6,6,6,7,9

Answers

Answer:

11/2

Step-by-step explanation:

2,3,3,4,5,6,6,6,7,9

5+6/2

11/2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

can someone please PLEASE help! i need this rt. now! i’ll mark brain list!

Answers

It would be n - 5

It’s saying 5 LESS than a number so 5 would be subtracted

Hope this helps!

Answer:

9 is justin is 65 marcella is 63 and aimee is 61

11 is 20%+2

hope that helped

Consider Carmen’s plans.

Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.

Carmen used her knowledge of angle relationships to find the value of x in the diagram.

What is the value of x?
x = 5
x = 9
x = 13
x = 16

Answers

Answer:

13

Explanation:

Answer:

9

Step-by-step explanation:

just did the assignment

32b) What are the like terms in the expression 4y + 5 + 3y? *​

Answers

Answer:

4y and 3y

Step-by-step explanation:

4y and 3y are like terms because they have y after the number. Every time when a math problem ask you to combine like terms, it'll be the ones that have the same variables or powers.

which expression below me is equivalent to -3x+5(x+2)?

A.2x+2

B.-x+2

C.2x+10

D.-8x+10

Answers

Answer:

C)

Step-by-step explanation:

First use distributive property: a(b +c) =a*b +a*c

-3x + 5(x +2) = -3x + 5*x +5*2

                   = -3x + 5x + 10          {Combine like terms}

                  = 2x + 10

(-3x) and 5x are like terms

what is the answer to 6y>8

Answers

Answer:

y > 4 3

Step-by-step explanation:

i need help solving this question ​

Answers

Answer:

4 1/6

Step-by-step explanation:

First, you have to convert any mixed numbers to fractions.

Then your initial equation becomes:

25/8÷3/4

Second, you have to apply the fractions formula for division.

= 25 x 4

------------- (You will be dividing.)

  8 x 3

=100/24

And if you simplify 100/24, the answer will become:

4 1/6

I hope this helps.    :)

The ratio of destroyers to battleships in the navy is 20:15. If the total number of boats is 105, how many battleships are there?

Answers

Answer:

45

Step-by-step explanation:

20:15 the ratio can be turned to a fraction

20/15

simplify

4/3

so now add the numerator and the denominator and get 7

then do 105/7=15

and then you do

4x15=60 (Destroyers)

3x15=45 (Battleships)

45 is your answer

help with math problem​

Answers

Answer:

1.No- that just means that the numbers on that side are smaller

Step-by-step explanation:

what is 5n+15 in distributive property

Answers

Answer:

5(n+3)

Step-by-step explanation:

factor both of them

their common number is 5

divide 5 by each of them

5/5=1

15/5=3

A bag is fſlled with green and blue marbles. There are 61 marbles in the bag. If there are 5 more green
marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Equation (use x as your variable):
The number of blue marbles is:
The number of green marbles is:

Answers

Answer: Alright So, A bag is filled with green and blue marbles. There are 48 marbles in the bag. If there are 38 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.

------

Equations:

g + b = 48 marbles

g = b + 38

------

Substitute for "g" and solve for "b"::

 

b+38 + b = 48

2b = 10

b = 5 (# of blue marbles)

g = b+38 = 43 (# of green marbles)

Step-by-step explanation:

KLMN is a Parallelogram. LK = 20 cm and KM= 24.
K
L
If KL MN is also a rectangle, find the following measures:
NM =
LN=
QM=
KN=
N
M

Answers

Answer:

NM =LK=20cm(side of parallelogram are equal)

LN=KM=24cm(diagonal of parallelogram are equal)

QM=1/2×24=12cm(diagonal bisect each other)

KN=√(24²-20²)=13.26cm(by Pythagoras theorem)

what is 5 to the power of 9 equal to ?​

Answers

Answer:

1953125 I calculated it... Thanks for the points

Step-by-step explanation:

5^9

=1953125 that's the answer trust me

9+x=-11

find the variable

Answers

Answer:

x=-20

Step-by-step explanation: since 9 is being added, subtract it from both sides so x=-20 that was easy :>

which number line shows the solution to the inequality? y-2 > -5

Answers

Answer:

Step-by-step explanation:

It's C.

please helpppp !!!!!

Answers

the answer is the one in red

Answer:

The first one

Step-by-step explanation:

Negative b plus and minus the square root of b squared minus 4ac divided by 2a

Jakavion is going to cook brownies in a rectangular pan. The pan measures 11 in. long by 8 in. wide by
3 in tall. What is the surface area of the pan?

Answers

Answer:

290

Step-by-step explanation:

2lw + 2lh + 2wh

2×11×8+2×11×3+2×8×3

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