List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT



** I NEED HELP I KEEP GETTING IT WRONG**

List Pairs Of Congruent Angles And The Extended Proportion That Relates The Corresponding Sides For The

Answers

Answer 1

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].


Related Questions

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3

Find the angle that has tangent,1.000.Give your answer correct to two significant figures​

Answers

Answer:

Step-by-step explanation:

Degrees   Radians   tangent

60°      π/3         √3

45°            π/4                     1

30°           π/6                 1/√3

0°            0                   0

which of the answers is correct

Answers

Answer:

Option C, sin Y = 38/63

Step-by-step explanation:

sin Y = Opposite/Hypotenuse

sin Y = 38/63

Answered by GAUTHMATH

A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales

Answers

Answer:

I am not sure on the answer but i think its $9,000

Step-by-step explanation:

11,000x0.20=2,200

2,200+11,000=13,200

22,200-13,200=9,000

which would mean she got $9,000 from commissions.

if you did 100,000x0.03=3,000

9,000/3,000= 3

so she would have had 3 commissions worth over 100,000

How do you find the diameter of a quarter circle?

Answers

Answer:

um 1/4

Step-by-step explanation:

Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-
slope form is y + 1 = {(x – 8).
br +
y =

Answers

Answer:

y + 1 = 2/3 (x - 8)

Step-by-step explanation:

y2 - y1 / x2 - x1          -5 - (-1) / 2 - 8      -4/-6      2/3

y + 1 = 2/3 (x - 8)

If 75% is 10 days, how many days is the remaining 25%?

Answers

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?

Answers

Answer:

3.1

Step-by-step explanation:

5 x5 =25

25+3=28

the other children are 4 years old

Match the two numbers with their least common multiple (LCM).

Answers

Answer:

Step-by-step explanation:

6 and 4 : LCM is 12

6 and 8: LCM is 24

6 and 10 LCM is 30.

6&4: option C
6&8: optionA
6&10: option B

What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...

Answers

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?



Thank you!

Answers

Answer:

$1.05 per yard

Step-by-step explanation:

5.25 ÷ 5 = 1.05

Answer:

$1.05 per yard.

Step-by-step explanation:

find unit rate; (cost / quantity)

5.25 / 5 = 1.05

Class 10. Trignometry. Can you solve the 1st, 4th, 7th, 9th and 10th question. Best answer will be marked brainliest.

Answers

The correct answer would be 66.7

PLEASE ANSWERRRR ULL BE SO COOL ILL MARK BRAINLEST!!!

Answers

The letter B is between -1 and -2, meaning that it is -1.5. Hope this helps

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 8 people took the trip. She was able to purchase coach tickets for ​$300 and first-class tickets for ​$1060. She used her total budget for airfare for the​ trip, which was ​$6960. How many first-class tickets did she​ buy?
How many coach tickets did she​ buy?
number of first-class tickets bought nothing number of coach tickets bought nothing

Answers

Answer:

She bought 6 first class tickets and 1 coach ticket

Step-by-step explanation:

1060(6)= 6360 and 6960-6360=300 and 300 is the price for a coach ticket.

Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 21 centimeters per minute when the height of the water is 3.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answers

Answer:

1508527.582 cm³/min

Step-by-step explanation:

The net rate of flow dV/dt = flow rate in - flow rate out

Let flow rate in = k. Since flow rate out = 6800 cm³/min,

dV/dt = k - 6800

Now, the volume of a cone V = πr²h/3 where r = radius of cone and h = height of cone

dV/dt = d(πr²h/3)/dt = (πr²dh/dt)/3 + 2πrhdr/dt (since dr/dt is not given we assume it is zero)

So, dV/dt = (πr²dh/dt)/3

Let h = height of tank = 12 m, r = radius of tank = diameter/2 = 3/2 = 1.5 m, h' = height when water level is rising at a rate of 21 cm/min = 3.5 m and r' = radius when water level is rising at a rate of 21 cm/min

Now, by similar triangles, h/r = h'/r'

r' = h'r/h = 3.5 m × 1.5 m/12 m = 5.25 m²/12 m = 2.625 m = 262.5 cm

Since the rate at which the water level is rising is dh/dt = 21 cm/min, and the radius at that point is r' = 262.5 cm.

The net rate of increase of water is dV/dt = (πr'²dh/dt)/3

dV/dt = (π(262.5 cm)² × 21 cm/min)/3

dV/dt = (π(68906.25 cm²) × 21 cm/min)/3

dV/dt = 1447031.25π/3 cm³

dV/dt = 4545982.745/3 cm³

dV/dt = 1515327.582 cm³/min

Since dV/dt = k - 6800 cm³/min

k = dV/dt - 6800 cm³/min

k = 1515327.582 cm³/min - 6800 cm³/min

k = 1508527.582 cm³/min

So, the rate at which water is pumped in is 1508527.582 cm³/min

HELP THANKS SO MUCH BRAIN FOR CORRECT

Answers

Answer:

i think the answet is 0.625

Please answer this!!

Answers

Answer:

BC = 6.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =opp /adj

tan C = AB / BC

tan 45 = 6.8/ BC

BC = 6.8 / tan 45

BC = 6.8 / 1

BC = 6.8

Answer: Choice D. 6.8

Step-by-step explanation:

45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.

helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

5

Step-by-step explanation:

Given: i = 5¹

5¹ = 5

Therefore, the correct option is 5

need some help with this​

Answers

Answer:

1/3

Step-by-step explanation:

Slope is rise over run

your rise is 1 (because you only go up one block each time)

your run is 3 ( because you go right three times)

so 1/3

State the domain and range of the graph below:

Answers

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

A submarine cruises underwater at 20 km/h and on
the surface at 30 km/h. The submarine travels a.
distance of 650 km in 25 h. A linear system was
created and graphed

Answers

Answer:

System of equations:

20x + 30y = 650

x + y = 25

Time underwater = 10 hours

Time at the surface = 15 hours

Step-by-step explanation:

Let x = time underwater at 20 km/h.

Let y = time on the surface at 30 km/h.

speed = distance/time

distance = speed * time

distance underwater: 20x

distance on the surface: 30y

total distance: 650

20x + 30y = 650

total time: x + y

total time: 25

x + y = 25

20x + 30y = 650

x + y = 25

20x + 30y = 650

-20x - 20y = -500

--------------------------------

          10y = 150

              y = 15

x + y = 25

x + 15 = 25

x = 10

Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?

Answers

Answer:

1 term

Step-by-step explanation:

Writing an expression of 5 terms such that all 5 terms are like terms ;

Using the analogy :

x, 2x, 4x, 3x, 5x

Writing as an expression :

x + 2x + 4x - 3x + 5x

7x - x + 5x

6x + 5x

11x

The least number of terms in its equivalent expression is 1 ;

As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x

PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.

Answers

Answer:

C

Step-by-step explanation:

A the answer is A because they have the same ending

A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.​

Answers

Answer:

The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

Step-by-step explanation:

Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:

6/15 x 5/14 = 0.1428

9/15 x 8/14 = 0.3428

Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

hello pls help it has to do with shapes and volume. thank u :D

Answers

Hi there!

[tex]\large\boxed{r\approx 10.6 cm}[/tex]

Solve for the radius using the pythagorean theorem:

a² + b² = c²

We know the lengths of the hypotenuse and one leg, so:

a = 12

b = ?

c = 16

Plug these into the equation:

12² + b² = 16²

Simplify:

144 + b² = 256

Subtract both sides by 144:

b² = 112

Take the square root:

b ≈ 10.6

Thus the radius is about 10.6 cm.

What is the volume of the cone? Round to the nearest cubic cm.

Answers

Answer:

the answer will be

184.31

What is the area of this triangle? Enter your answer in the box.

Answers

Answer:

A =27 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the base and h is the height

A = 1/2 (9) (6)

A =27 cm^2

Answer:

I assure you the person above is perfectly right. The area of a triangle is:

A = 1/2bh

Step-by-step explanation:

Have a good day.

Given point (-6, -3) and a slope of 4, write an equation in point-slope form.

Answers

Answer:

C

Step-by-step explanation:

Find c.
Round to the nearest tenth:
с
8 cm
829
550
b

Answers

Answer:

c = 9.7

Step-by-step explanation:

Using the law of sines

sin 55       sin 82

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

8                    c

Using cross products

c sin 55 = 8 sin 82

c = 8 sin 82 / sin 55

c=9.67115

To the nearest tenth

c = 9.7

Please answer this!!

Answers

Answer: Choice C. 110ft

Step-by-step explanation:

Near a 30,60,90 triangle, multiply by [tex]\sqrt{3}[/tex] to approximate the distance from point B to the tree.

Answer:

82

Step-by-step explanation:

I want to say 82 but i am not positive

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