Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?

Answers

Answer 1

In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The centroid Z of the triangle TRS. Line sections TW, RV, and SU are created by drawing lines from every point to the center of the opposing side.

We know that the centroid divides the median of the triangle in a ratio of 2: 1.

In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be

RZ / ZV = 2 / 1

RZ / 6 = 2

RZ = 6 x 2

RZ = 12 inches

In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.

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Related Questions

A basic slime recipe calls for 1 part borax, 24 parts white glue, and 48 parts water. The relationship between borax, white glue and water is proportional. If Catalina has 3 tablespoons of borax and will use it all, how many cups of white glue will she need

Answers

Answer:

I am more on the sure side it's 8

Step-by-step explanation:

And if it isn't im so so sorry

In a recent national football league season tom brady philip rivers and aaron rodgers throw a total of 94 touchdown passes if we first had two more touchdowns and roger and six fewer than brady how many did brady have

Answers

Answer:

88 is the answer to the question

Type the expression that results from the following series of steps:
Start with
n
, add 5, multiply by 4, then subtract 7.

Answers

Answer:

n + 5 x 4 - 7

Step-by-step explanation:

Answer:

4(n+)7

Step-by-step explanation:

n+5

(n+5) x 4 = 4 ( n + 5)

4( n+5)-7

What's the Gcf of 16,44, and 28 (greatest common factor)

Answers

Answer:

4

16 / 4 = 4

44 / 4 = 11

28 / 4 = 3

easy

Round 452,906 to the nearest hundred.

Answers

Answer :                                                                                                              500,000                                                                                                                       450,000                                                                                                                        453,000                                                                                                                                       452,900                                                                                                                                         452,910                                                                                                                                                                                                                                                                                step-by-step explanation:

look to the right one digit of the place they are asking to round . if it is either greater than or equal to5, then you round up the place they want. if it is not, then it says the same. then all he number to right of it becomes 0s.

9x+1-x^2
write in standard form

Answers

Answer:

−[tex]x^{2}[/tex] + 9x + 1

Step-by-step explanation:


Iron has a density of 7.9 g/cm³. Gold has a density of 19.3 g/cm³.
I have a piece of metal that has a volume of 200 cm³ and a mass of 3.86 kg. Is it gold or iron?

Answers

density = m/v
3.86kg=3860g
d= 3860/200
= 19.3g/cm^3
therefore it is gold.

how is solving |ax| + b = c different from solving |ax+b| = c?

Answers

Step-by-step explanation:

they are different because the first equation only ax is in absolute but in the second equation both ax and b are in absolute, so we could solve them differently.

The answer to 5√12 × √7, given in its simplest form, is t√√u, where t and u are integers.
Calculate the values of t and u.

Answers

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form: 10√21 where t = 10 and u =21

Two students are running on a circular path. It takes the first student 20 minutes to complete one lap, and it takes the second student 35 minutes to complete one lap. If they both start at the same time and run in the same direction, when will they meet each other at the starting point?

5 minutes
55 minutes
140 minutes
175 minutes

Answers

The time they would both meet at the starting point is 140 minutes (third option).

When would they meet at the starting point?

The time they would both meet at the starting point will be a common multiple of the time it takes each of them to complete a lap.

A multiple of a number is the product of an integer and that number. A common multiple is a multiple that is common to two or more numbers.

Multiple of 20 = 20, 40, 60, 80, 100, 120, 140

Multiple of 35 = 35, 70, 105, 140, 175

Lowest common multiple of 20 and 35 = 140

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If a population has 500 individuals in it in 2010, and the per capita birth rate is 0.3 and the per capita death rate is 0.2, is the population growing or shrinking?

Answers

The population is growing as the births are more than deaths in an year.

What is Population Growth?

Increases in a population's or a dispersed group's membership are referred to as population growth.

Given:

Total population = 500Per capita birth rate = 0.3Per capita death rate = 0.2

To find: Is population growing or shrinking?

Finding:

Number of new-borns in an year = total population (per capita birth rate) = 500(0.3) = 150Number of deaths in an year = total population (per capita death rate) = 500(0.2) = 100Difference in the number of births and deaths = 150 - 100 = 50

Hence the population is growing as the births are more than deaths in an year.

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Scatter plots are used to visualize association in samples of paired data (x, y). group starts
a. true
b. false

Answers

I think the answer is true.

There are 38 pencils in the drawer. Sam took 24
pencils from the drawer. How many pencils are now in the drawer ?

Answers

Answer: 14

Step-by-step explanation:

Evaluate the following function when x = -1 and x = 2 and determine the sum of the two results:

Answers

Answer:

J. 1

Step-by-step explanation:

Plug the x values into the equation:

f(-1)=3-(-1)^2

f(2)=3-(2)^2

Solve each one, then add.

3-(-1)^2=

=3-1=2

3-(2)^2=

=3-4=-1

Combine the answers together.

2-1=1

The answer is J. 1.

Hope this helps!

Please mark as brainliest if correct!

A rock sample containing an isotope with a half-life of 28 million years has an initial mass of 184 grams. how much time has elapsed after three half-lives?

Answers

Half Life

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

[tex]f(t)=a\times(1/2)^{\frac{t}{h}}[/tex]

t = time passeda = y-intercepth = half life

Solving the Question

We're given:

h = 28 million yearsa = 184 grams (this is the initial mass, after 0 time has passed)

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

Answer

84 million years


The Florida Fish and Wildlife Conservation Commission is conducting a study on wildlife patterns and behaviors in a specific area of the Florida
Everglades. A stationary camera is placed where the area being observed can be filmed and recorded for 96 hours. Researchers found that the footage
revealed that the Cape Sable Seaside Sparrows were observed in the area once every 4 hours and the Florida Leafwing Butterfly was observed in the
area once every 9 hours. What is the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the
Florida leafwing butterfly in the area at the same time?
96
36
4
9

Answers

The least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

What is the least common multiple?

The least common multiple (LCM) is the smallest multiple of two or more numbers.

The LCM of 9 and 4 is 36 (4 x 9).

Data and Calculations:

The total number of hours of filming and recording by the stationary camera is 96.

The regularity of observing the Cape Sable Seaside Sparrows = every 4 hours

The regularity of observing the Florida Leafwing Butterfly = every 9 hours

Using their LCM as 36,

The Cape Sable Seaside Sparrows will be observed 9 times when they meet the Florida Leafwing Butterfly at its 4th observation.

Thus, the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

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There are two types of memberships for a book club

- an unlimited use of memebership for $50 per month or

- a monthly fee if $5 per book

Enter an equation needed to determine how many books in a month are needed for both plans to cost the same?

Answers

Answer:

9 books are needed for the plans to cost the same

Step-by-step explanation:

50 = 5 + 5x

45 = 5x

x = 9

pls hurry! i will give brainliest!!
-
What is the measure of angle x?
Enter your answer in the box.

Answers

Answer:

43

Step-by-step explanation:

[tex]\sqrt[3]{x} = 3[/tex]

Answers

Answer:

x = 27

Step-by-step explanation:

You need to cube each side.

[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]

x = 27

let f(x)= 7x-2 and g(x)= sqrt (x) + 2x. what are (f+g)(x) and (f-g)(x)?

Answers

Answer:

• [tex](f+g) (x)[/tex]  = [tex]9x + \sqrt{x} -2[/tex]

• [tex](f-g)(x)[/tex] = [tex]5x - \sqrt x - 2[/tex]

Step-by-step explanation:

[tex]f(x) = 7x - 2[/tex]

[tex]g(x) = \sqrt{x} + 2x[/tex]

To calculate [tex](f+g) (x)[/tex] and [tex](f-g)(x)[/tex], we have to add and subtract [tex]f(x)[/tex] and [tex]g(x)[/tex] respectively:

• [tex](f+g) (x)[/tex]

⇒ [tex]f(x) + g(x)[/tex]

⇒ [tex]7x - 2 \: + \sqrt{x} + 2x[/tex]

⇒ [tex]9x + \sqrt{x} -2[/tex]

• [tex](f-g)(x)[/tex]

⇒ [tex]7x - 2 - (\sqrt x + 2x)[/tex]

⇒ [tex]7x - 2 - \sqrt x - 2x[/tex]

⇒ [tex]5x - \sqrt x - 2[/tex]

The absolute value function is a -------- linear function.
piecewise
different
complete
negative
Opositive

Answers

Answer:

Piecewise

Step-by-step explanation:

It is basically made up of 2 linear functions

You are planning a vacation and have found a great rate on a hotel. The hotel is $99 per night, plus tax and a
resort fee. The expression 99(1.05)+ 25 represents the total cost of the hotel for nights. What is the tax
rate and the resort fee? Explain how you know

Answers

Answer:

  resort fee is 25

tax rate is 1.05

Step-by-step explanation:

what is the formula of (a+b)²​

Answers

Hey there!

Finding the the answer to the [Binomial]

(a + b)^2

CONVERT:

= (a + b)(a + b)

DISTRIBUTE

= a(a) + a(b) + b(a) + b(b)

= a^2 + ab + ab + b^2

COMBINE the LIKE TERMS

= (a^2) + (ab + ab) + (b^2)

= a^2 + ab + ab + b^2

= a^2 + 1ab + 1ab + b^2

= a^2 + 2ab + b^2


Therefore, your answer should be:

a^2 + 2ab + b^2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

simplify. -2(7-n) +4

Answers

it would be = 2n-10

(i have to have 20 characters so imma write random letters. suzuiaiaiqnwnwiiss)

Answer:

-2(7+2n) +4 = 5

step by step explantation:

-2(7-n) +4

-2×7 =-14

-2x-n = 2n

14+2n = 4

2n = 14 - 4

2n/ 2= 10/2

n= 5

Answer two questions about systems a and b: ​ x−7y=−3 4x y=7 ​ ​ 4x y=7 x−7y=−3 ​

Answers

our ordered pair is ( 2 , 1/2).

What is linear equations in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.

Let's first move the y's to the left side in the first equation.

4x - y  = 3y + 7

4x - 4y = 7

Dividing both sides by 4,

x - y  = 7/4

Our other equation is

x + 8y = 4

Subtracting the first equation from the second, we get

 9y = 9/4

   y = 1/4

We plug this into one of the equations

  x + 2 = 4

   x =  2

So our ordered pair is ( 2 , 1/2)

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four more than five times x is the same as x increased by 26

Answers

Four more than five times x is the same as x increased by 26. The value of x is  x=5.5

Given information can be written in the form of algebraic equation is :

5x+4=x+26

5x-x=26-4

4x=22

x=5.5

The equal to (=) symbol is used to unite two algebraic expressions to form an algebraic equation. Because polynomials are included on both sides of the equal sign, algebraic equations are sometimes referred to as polynomial equations. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of an algebraic equation.

A mathematical statement with two equal algebraic expressions is called an algebraic equation. When P and Q are polynomials, the usual form of an algebraic equation is P = 0 or P = Q. Equations in algebra with only one variable are referred to as univariate equations, whereas equations with several variables are referred to as multivariate equations. The solution of an algebraic problem is always balanced.

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A high school has 36 players on the football team. the summary of the players' weights is given in the box plot. what is the interquartile range of the players' weights?

Answers

The interquartile range of the players' weights = 48 pounds.

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

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If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor of 17?

Answers

Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

P(A or B) = P(A) + P(B)

All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9


So, your answer is 1/9

help needed. with show work

Answers

Check out the attached photo

In the word grapefruit the ratio of vowels to consonants is 2:3 .find the ratios of vowels to consonats in the word pineapple and strawberry. give each ratio in its simplest form.

Answers

Answer:

48 because of the vowels it became 48 .

Step-by-step explanation:

I Quesliod. Make sure you start new workings. In the word grapefruit, the ratio of vowels to consonants is . Find the ratios of vowels to consonants in the words pineapple and strawberry. Give each ratio in its simplest form. grapefruit Vowels :Consonants  Remember: vowels are a, e, i, o, u

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