Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u

Answers

Answer 1

The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

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Which Piece Of Additional Information Can Be Used To Prove That Rst ~ Vut? Rt = St 3st = Ut R V V U
Which Piece Of Additional Information Can Be Used To Prove That Rst ~ Vut? Rt = St 3st = Ut R V V U
Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 7(1.06)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)

Answers

#1

As d is days

So days can't be negative

hence domain is W or Whole numbers set.

But according to the equation

y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79

Round to next whole as it's no of days

d=2

Domain=[2,oo)

#b

Put d=0

f(0)

7(1.06)^(0)7

It passes through (0,7)

But 0 is not in domain ,hence no y intercept in real

#C

f(11)

7(1.06)¹¹13.28

f(4)

7(1.06)⁴8.83

Rate of change

f(11)-f(4)/11-413.28-8.83/70.6

It represents change in radius

Fill in the table.
x y
-4 5
-2 3
0 1
2 -1
4 -3


This is a linear function which means that the domain and range are:
Domain:
Range:
*Reminder: another way to write negative infinity to positive infinity is
"all real numbers"

Answers

The domain of the linear function is a real number, and the range of the linear function is also a real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The table is given below.

  x               y

 -4              5

 -2              3

  0              1

  2             -1

  4             -3

Then the linear function will be

y – 1 = [(5 – 1) / (- 4 – 0)] (x – 0)

y – 1 = -x

x + y = 1

Then the domain of the linear function is a real number and the range of the linear function is also a real number.

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#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?
Why?

Answers

CA must be in the range [15 - 9, 15 + 9] = [6, 24]
For the line segments to form a triangle the length of CA cannot be less the the difference between the other sides or greater than their sum.
At either extreme the three points A, B and C will be co-linear thus forming a triangle with area of zero

The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

Answers

The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.

The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,

L = 10 log(I/I₀)  

where I₀ = 10⁻¹²  which is the least intensity that a human can hear.

The sound intensity of a dinner conversation= I= 10⁻⁷

Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)

= 10 log(10⁻⁷⁻⁽⁻¹²⁾)

= 10 log(10⁻⁷⁺¹²)

= 10 log(10⁵)

= 10*5

= 50 Db

Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.

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What is the range of the function shown
in the graph?

Answers

Choice B. Y value max is 8 and it goes down from there, so 8 is the greatest value it can be.

Dry concrete can be made by mixing sand, gravel and cement
in the ratio 1: 2: 3. If you want 1800 kg of dry concrete,
how much of each will you need? Give your answers in
kilograms (kg).

Answers

Sand is 1/6 of the mixture. 1/6 x 1800 = 300 kg
Gravel is 2/6 of mixture. 2/6 x 1800 = 600 kg
Cement is 3/6 of mixture. 3/6 x 1800 = 900 kg

A ratio shows how many times one number contains another.

Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is

[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]

The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]

And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]

What is the ratio ?

A ratio is an ordered pair of numbers [tex]a[/tex] and [tex]b[/tex], written [tex]\frac{a}{b}[/tex] where [tex]b[/tex] does not equal [tex]0[/tex]. A proportion is an equation in which two ratios are set equal to each other.

Here the given ratio is [tex]1:2:3[/tex].

Here given that,

The dry concrete is   [tex]1800kg[/tex].

And the multiplication of the ratio is [tex]1[/tex]×[tex]2[/tex]×[tex]3=6[/tex]

Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is

[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]

The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]

And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]

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A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)

The area that needs to be covered is

ft2.

Answers

Answer:

132ft^2

Step-by-step explanation:

The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.

Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches

Answers

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11[/tex]

[tex]\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9[/tex]

Thus proving that Group A has the longer average former length.

According to given text data

Average of both groups

A:-

10(3)+11(4)+12(3)/1030+44+36/1066+44/10110/1011

B:-

9(3)+5(10)+11(2)/1027+50+22/1049+50/1099/109.9

Group A has bigger average

3. Use the following diagram to solve for x.

Answers

The value of x from the given diagram is -6

Lines and angles

Line is defined as the distance between two points. Given the line RP with the following measures

RP = 17

RQ = x + 14

QP = x + 15

Using the expression

RP = RQ + QP

Substitute

17 = x + 14 + x + 15

17 = 2x + 29

Determine the value of x

2x = 17 - 29
2x= -12

x = -6

Hence the value of x from the given diagram is -6

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PLEASE HELP ASAP!!!!
The polar equation r=7sin(2θ) graphs as a rose.

What is the length of the petals of this rose?

Enter your answer in the box.

Answers

Answer:  7 units

============================================================

Explanation:

r = distance from the origin (0,0) to a point on the polar curve

To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).

Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.

Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.

The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.

This year, a small business had a total revenue of $40,700. If this is 26% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

26% less than a value is best found by multiplying by (100 - 26)% = 74% = 0.74
So previous year x 0.74 = 40,700
Previous year = 40,700 / 0.74 = $55,000

Hi, please help me find the volume of this sphere :)

Answers

Answer: 8788

Step-by-step explanation:

Use the formula and use 3 for pi

13cm is the radius

[tex]13^{3\\[/tex] = 2197

2197 x 3 = 6591

6591 x 4/3 = 8788

(18 ÷ 2) × (56 ÷ 7) =

Answers

9 x 8 = 72
do what’s in the parentheses first and then just multiply

Answer: 72

Step-by-step explanation:

Step 1: Divide 18 and 2, which is 9

Step 2: Divide 56 and 7, which is 8

Step 3: Multiply 9x8 and get 72

factorise
answer is (a+c) (ca-b²)​

Answers

Answer:

Step-by-step explanation:

your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12

Answers

The probability that favourite basketball player make all 12 is 0.

Give 90% free- throw percentage of favourite basketball player and he has taken 12 shots in the game.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.

This is a binomial probability question "makes" is what some writer call a "success". In the binomial probability distribution, the probability of r successes in trials is :

=[tex]nC^{r}[/tex][tex]p_{r}p^{r}(1-p)^{n-r}[/tex]

p is the probability of "success" n p r=n!/((n-r)!

n [tex]p_{n}[/tex]=0

In this problem , n=12, r=12,p=0.9. the probability of exactly 12 made shots out of 12 attempted is 12[tex]C_{12} (0.90)^{12} (1-0.90)^{0}[/tex].

=12!/12!(12-12)!*[tex](0.90)^{12}(0.10)^{0}[/tex]

=0

Hence the probability that they make all 12 is 0.

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The diagonals of parallelogram abcd intersect at point e. to prove that bae= dce, all of the following could be used, except for which

a.the sum of measures of the interior angles of abcd is 360 degrees
b. abc = cda by sss
c. abc = cde by sss
d. given two parallel lines by transversal, alternates interior angles are congruent.

Answers

The only option that cannot be used to prove that the diagonals of parallelogram abcd intersect at point e is; Option C

How to determine quadrilateral proof?

A) The sum of the interior angles of any quadrilateral is 360° and so this is true about the parallelogram.

B) AB = CD and BC = DA from opposite sides of a parallelogram are equal. Also AC = CA because of reflexive property of congruence. Thus, ∠ABC ≅ ∠CDA

C) This is not true because ∠ABC ≅ ∠CDA instead of ∠ABC ≅ ∠CDE.

D) This is true because of the definition of a transversal.

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What is
-8/15of21/12

Answers

32
——- (after reducing the fraction)
105
Explanation: find reciprocal of divisor:
21/12 : 12/21
Multiply dividend:
8/15 divide21/12=8/15x12/21=
8 x12
———= 96/315
15x21

What is 850,000,000,000,000,000 divided by 860,000,000,000,000,000,000,000

Answers

the answer would be 9.88372093e-7

1 )Simplify.

[tex]\frac{850000000000000000}{8.6E}[/tex]+23

2 )Answer

9.88372093e-7

the photography club has 36 memebers, 16 girls and 20 boys. what is the ratio of girls to boys in the photography club?


A. 5:6
B. 4:5
C. 5:4​

Answers

Answer:

4:5

girls:boys

16:20

divide both by 4

4:5

Answer: B) 4:5

Step-by-Step Solution:

Total No. Of Members = 36
No. Of Girls = 16
No. Of Boys = 20

Ratio of Girls to Boys
= 16/20
= 8/10
= 4/5
=> 4:5

Correct Option is C) 4:5

answer both questions please

Answers

Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.

Step-by-step explanation:

I would recommend using pascal's triangle to solve this problem.

*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.

f) 234x +(234x)⁰ (x0)

Answers

Answer:

the answer is 0

Step-by-step explanation:

because anything multiply by 0 is 0.

Can make me the brainliests answerer?Please

If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function

Answers

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

The given information is the stretch factor which is 3 and the equation f(x)=[tex]2^{x}[/tex].

When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.

By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

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Domain and range of f(x)=3x^2-9x+8

Answers

The range of the function lies between (0,8) to (1.5,1.25).

What are domain and range?

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is:-

f(x) = 3x² -9x + 8

The value of the range will be from (0,8) to ( 1.5,1.25). When we plot the graph of the function the value of the range lies between the points (0,8) to ( 1.5,1.25). The graph is attached with the answer.

The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).

Therefore the range of the function lies between (0,8) to (1.5,1.25).

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Complete the statements about the cross sections of cylinders and cones.
The cross section parallel to the base of a cone is a
The cross section parallel to the base of a cylinder is a
The cross section perpendicular to the base of a cone is a
The cross section perpendicular to the base of a cylinder is a

Answers

The cross-section parallel to the base of a cone is a circle

The cross-section parallel to the base of a cylinder is a circle

The cross-section perpendicular to the base of a cone is a triangle

The cross-section perpendicular to the base of a cylinder is a rectangle

can someone please help and explain these problems ??

Answers

Answer:

AAA

Step-by-step explanation:

yesss

Which point has coordinates (5,-7pi/6)?

Point A
Point B
Point C
Point D

Answers

The answer is Point C

46. Geometry The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.​

Answers

Answer:

1/3×22/7×r^2h

Step-by-step explanation:

the volume =1/3 ×22/7×r^2×13.5

The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)

Answers

Answer:

f(1) = 2

f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

the point of coordinates (1 , 2) is on the graph

Then

f(1) = 2

…………………………

We notice that :

f(2) = 4

f(3) = 8

f(4) = 16

16/8 = 8/4 = 4/2 = 2/1 = 2

________________________

This means the common ratio

of the geo sequence = 2

Hence ,

f(n) = 2 × f(n - 1)

Answer: f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

Justin and elena each launched a toy rocket into the air. the height of justin’s rocket is modeled by the equation h = –16t2 60t 2. elena launched his rocket from the same position, but with an initial velocity double that of justin’s. which equation best models the height of elena’s rocket? h(t) = at2 vt h0 h = –16t2 60t 4 h = –32t2 120t 4 h = –32t2 60t 2 h = –16t2 120t 2

Answers

I don’t know you just have to add and keep adding them

What is this Simplify as √16y¹6

Answers

Answer:

[tex]6y^1^6[/tex]

Step-by-step explanation:

I hope this has Helped :)

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Read the excerpt from "Thanatopsis by William Cullen Bryant. 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"No! you need to pass the ball! Stop cradling it and pass!"Danny was the team captain of the lacrosse team. He was one of the best players in the league. He was good, but he could be malicious. That morning, my playing technique was taking the brunt of Danny's harsh criticism."You really need to learn to pass better, Finn. you're letting the team down!"Practice ended, and as Danny strode swiftly back toward the changing rooms, I hung my head and looked down at the green grass of the field. At the start of practice, the lush, green grass had made me smile. I relished being outside and playing lacrosse with my teammates. Sure, many of them were better than me, but I enjoyed the game and being part of a team. I was always the one cheering the loudest for my friends when they threw the ball across the goal line. I wished Danny would cheer for us instead of shouting callous things. It was starting to ruin the game so much for me that I was thinking of quitting.Just then, there was another loud shout from across the field. This time, however, it was a shout of agony. I looked up and saw Danny. He was lying on the concrete ground in front of the change rooms, clutching his scraped knee. Without thinking twice, I ran to Danny's side to help."Are you okay?" I asked, bending down to comfort him. "Here, use my jersey to help clean your knee."Danny looked up at me in surprise. He wasn't used to people being kind to him. Danny took the shirt as our coach arrived to help. The coach lifted Danny off the ground, steadied him on his feet, and helped him hobble into the change rooms. As I followed the others into the building, I realized that Danny hadn't even said thank you.The next morning at practice, Danny was still in pain. He was limping and kept complaining of fatigue. 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