The medians of TUV are TX, UY, and VW. They meet at a single point Z.
(In other words, Z is the centroid of TUV.)
Suppose UZ=8, VW=33, and ZX=5.
Find the following lengths.
Note that the figure is not drawn to scale.




The Medians Of TUV Are TX, UY, And VW. They Meet At A Single Point Z.(In Other Words, Z Is The Centroid

Answers

Answer 1

Answer:

TZ = 10 units

UY = 12 units

ZW = 11 units

Step-by-step explanation:

Point Z is the centroid of ΔTUV.

Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1

Therefore, TZ = 2(ZX)

TZ = 2(5) = 10 units

UY = UZ + ZY

     = UZ + [tex]\frac{1}{2}(UZ)[/tex]

     = [tex]\frac{3}{2}UZ[/tex]

     = [tex]\frac{3}{2}\times 8[/tex]

     = 12 units

ZW = [tex]\frac{1}{3}(VW)[/tex]

      = [tex]\frac{1}{3}(33)[/tex]

      = 11 units


Related Questions

I need help finding Z

Answers

x+46 = 10x+10
9x = 36
x = 4

angle X = 50
angle Y = 50

180-100= 80


angle Z = 80

Answer:

the angle is 80° ,, for sure .

Help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

It would be D I think...

Which answer choice shows 21.97 written in expanded form? A. 2 + 1 + 9 + 7 B. 20 + 1 + 0.9 + 0.7 C. 20 + 10 + 0.9 + 0.07 D. 20 + 1 + 0.9 + 0.07

Answers

Answer:

20 + 1 + 0.9 + 0.07

Step-by-step explanation:

Given the number 21.97 ;

To wite in expanded form:

Tens ___ Unit ____ tenth ____ hundredth

2_______ 1 _______ 9_________ 7

2 = 20

1 = 1

9 = 0.9

7 = 0.07

Hence,

20 + 1 + 0.9 + 0.07

Which number line represents the solution set for the inequality - 2x2 4? -10 -8 6 -4 -20 2 4 6 8 10 -10 -8 6 + -2 0 2 -4 6 + -10 -8 6 -4 -2 0 2 68 10 -10 -8 -6 -4 -2 0 6 810​

Answers

Answer:

Option (2)

Step-by-step explanation:

Given inequality is,

[tex]-\frac{1}{2}x\geq 4[/tex]

⇒ [tex]\frac{1}{2}x\leq -4[/tex]

⇒ x ≤ -8

When we plot this inequality on a number line,

An arrow starting with a solid point from x = -8 and arrow directing towards negative numbers will represent the given inequality.

Option (2) will be the answer.

Answer:

[tex] - \frac{1}{2} x \geqslant 4 \\ - x \geqslant 2 \times 4 \\ - x \geqslant 8 \\ \boxed{\ x \leqslant - 8}[/tex]

x→{-∞,-8]

Number line :---

Arrow which represents solid sphere directed from (-8) moving towards left (-∞) will be the answer

2nd one is the right answer.

Which of the following best describes the equation below?

y = -3x - 15

A.nonlinear
B. both linear and non linear
C.linear
D.neither linear or nonlinear

pls help

Answers

It’s linear because it would go in a straight line if you were to put it on a graph
I do believe it is C. linear. Hope this helped!!! Stay safe!!

8 + 2/3(12b +15)
Who ever answers correctly I will mark brainliest

Answers

Answer:

Simplify: 8b+18

Step-by-step explanation:

Answer:

8b+15

Step-by-step explanation:

this is simplified

have a good day or night

A. 4x(-1)=
B. 4x(-2)=
C. 4x(-3)=
Explain please

Answers

Well, multiplying a negative and a positive together is just the same thing as multiplying normal numbers together however, the final product is a negative number.
4 * (-3) = -12
4 * (-2) = -8
4 * (-1) = -4

I need halp with this-
Z=9

Answers

Answer:

81 + 81 + 10 aka 172

Step-by-step explanation:

Answer:

172

Step-by-step explanation:

z = 9

9 to the second power is 81

9 times 9 is 81

plus 10

= 172

hope this helps dude

HURRY!!!!!!!!! THIS QUESTION IS 50PTS.

Option 1: $10.00 every day

Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day

Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.



For option 1,2 and 3 Write a formula to find how much you would make on any day.

Answers

1: 10x
2: 0.5x+3
3: x^2

mark me brainliest if the answer is correct, thank you in advance :)

Compare using >,=, or <.
a. 3_ -3
C. -12_ -24
b. 12_24
d. 5__-(-5)

Answers

Answer:

a. 3 > -3

C. -12 > -24

b. 12< 24

d. 5 = -(-5)

Step-by-step explanation:

Identify an equation in point-slope form the line parallel to y=-2/3x+8 that passes through(4, -5).

A. y+5=-2/3(x-4)
B. y-5=-2/3(x+4)
C. y+5=3/2(x-4)
D. y-4=2/3(x+5)

Answers

Answer:

The equation of line in point slope form is: [tex]\mathbf{y+5=-\frac{2}{3} (x-4)}[/tex]

Option A is correct option.

Step-by-step explanation:

We need to identify an equation in point-slope form the line parallel to y=-2/3x+8 that passes through(4, -5).

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

where m is slope of the equation.

Finding slope of the equation.

Since the two lines are parallel so, both lines have same slope.

Equation of given line: y=-2/3x + 8

This equation is in slope-intercept form, comparing with general equation [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3

So, slope of given line = m = -2/3

Slope of required line = m =-2/3

Now, writing equation in point-slope form:

We are given point (4,-5) so, we have [tex]x_1=4, y_1=-5[/tex] and slope is: m=-2/3

So, equation of line in point-slope form is:

[tex]y-y_1=m(x-x_1)\\y-(-5)=-\frac{2}{3}(x-4)\\y+5=-\frac{2}{3}(x-4)[/tex]

So, the equation of line in point slope form is: [tex]\mathbf{y+5=-\frac{2}{3} (x-4)}[/tex]

Option A is correct option.

Answer:

The answer is A.

Step-by-step explanation:

Make b the subject of the formula a = Vb + 6​

Answers

Answer:

b = (a - 6)/V

Step-by-step explanation:

a = Vb + 6​

Subtract 6 from both sides:

a - 6 = Vb

b = (a - 6)/V


Determine whether the given set is a function or not. Explain.
{(6,-1), (-4,2), (5,2), (4,6), (6,5)}

Answers

Answer: No.

Step-by-step explanation: A function means that for every x, there is only ONE y value. In this case, 6 can be either -1 or 5, which is more than one value.

Answer:

The given set is NOT a function

Step-by-step explanation:

A function is a given set of data in which no x values repeat, where y values may or may not repeat. Since this given set does have a x value that repeats, it is not a function!

Solve the inequality.

q - 12 ≥ -13

q ≥ 1
q ≥ -1
q ≥ 25
q ≥ -25

Answers

Answer:

[tex] - 12 \geqslant - 13 \\ \geqslant - 13 + 12 \\ \geqslant - 1 [/tex]

The required solution to the given inequality q - 12 ≥ -13 would be q ≥ -1. The correct answer would be an option (B).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

q - 12 ≥ -13

We have to determine the solution to the given inequality

As per the question, we have

⇒ q - 12 ≥ -13

Add 12 on both sides of the above inequality

⇒ q - 12 + 12 ≥ -13 + 12

⇒ q ≥ -1

Therefore, the required solution to the given inequality would be q ≥ -1.

Hence, the correct answer would be an option (B).

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ5

you're a customer with an everyday checking account. indicate which statement below is TRUE.​

Answers

Answer:

The first choice

Step-by-step explanation:

I know this because I have one, but also, it says in the options to avoid monthly fee section.

the two triangles shows the congruent ABC LMN. based on this information which of the following is a true statement ​

Answers

Answer:

It's D I think.... Line up B and C with M,N

D I I think cause all the letters are touching I think

WILL GIVE BRAINLIEST
A new car cost $18,000.00. It is expected to depreciate at an average rate of 15% per year. Find the value of the car in 5 years. Show work.​

Answers

Answer: $1.37

Step-by-step explanation:

[tex]c (t) = 18,000 (0.15)^{t}[/tex]

t = amount of years

[tex]c (5) = 18,000 (0.15)^{5}\\c (5) = 18,000 * 0.0000759375\\c (5) = 1.366875\\[/tex]

1.366875 ≈ 1.37

c (5) = 1.37

In 5 years, the value of the car should be approximately $1.37

Hope I helped!

In △ABC, m∠A=23°, a=10, and b=13. Find c to the nearest tenth.

Answers

9514 1404 393

Answer:

  c ∈ {3.4, 20.6}

Step-by-step explanation:

The law of cosines can be used to write a quadratic equation in c.

  a^2 = b^2 + c^2 -2bc·cos(A)

  10^2 = 13^2 + c^2 -2(13)c ·cos(23°)

  c^2 -23.933c +69 = 0 . . . . . subtract 100 to put into standard form.

  c = (-(-23.933) ±√((-23.933)^2 -4(1)(69)))/(2(1))

  c ≈ 11.967 ± √74.199

  c ≈ {3.4, 20.6}

_____

Additional comment

The given angle is opposite the shorter of the two given sides, so we expect two solutions. We could use the law of sines, but this works just as well and gives the two solutions directly, without having to find angle B.

is y=4x-5 proportional or no proportional

Answers

Answer:

non proportional

Step-by-step explanation:

I think it is proportional

when 832 is divided by n, the result is 16

Answers

832/b=16 Answer : n=52



Explanation: 832/16 is equal to 52 then to check if this is right plug 52 in n and 832/52 is equal to 16 have a nice day (:

Please help me with this homework

Answers

Answer:

linear

Step-by-step explanation:

if you have access to a graphing calculator then enter the equation and you can see it forms a line

if you have graph paper, create some coordinates, plot and connect them

example of some ordered pairs could be:

(0, 7)

(2, 6)

(-2, 8)

It is a linear function

whats 13/6 divided by 8 evaluated

Answers

Answer:

0.27083333333 or 13/48

Step-by-step explanation:

Answer:

13/48

Step-by-step explanation:

estimate 5/11 + 5/16 . use the benchmarks 0,1/2 and 1

a. 1/2
b. 1 1/2
c. 2
d. 1

pls help

Answers

Answer:

D

Step-by-step explanation:

5/11 and 5/16 = 80/176 + 55/176 which equals 135/176 which simplifies into 0.76 which is closest to 1

A group of friends decided to share
4 chocolate bars. If each friend only
ate 2/3 of a chocolate bar, how many
friends shared the chocolate bars?

Answers

Answer:

6

Step-by-step explanation:

mark me brainliesst please

Another one!

I don´t get how to solve it please explain

Answers

Answer:

B. 16.9

Step-by-step explanation:

Reverse Pythagoreans theorem C^2 - B^2 = A^2 so

7^2 - 5^2 = c^2 and it comes out to

49-25 = 24 the square root of that is 4.9 (rounded)

But we are lookign for the perimeter so

4.9 + 7 + 5 = 16.9

Find the lcm using the prime fatorisation of 40 and 56​

Answers

Answer:

LCM: 280

Step-by-step explanation:

;)


Round the number 2.72603 to 2 decimal places.

Answers

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

2.70
rounded seven back coz 2 is less than 5

the slope of a line is -4/5 what is the rise if the run is 20?

Answers

Answer:

rise= -16

Step-by-step explanation:

Please see the attached picture for the full solution.

30 POINTSSS HELPPP

A yellow marble, a green marble, a red marble, a blue marble and a brown marble are dropped into an empty jar in the order given. The process is repeated until there are 88 marbles in the jar. How many of the marbles are red?

A 15
B 16
C 17
D 18
E 20

Answers

Answer:

18

Step-by-step explanation:

Because 85 divided by 5 is 17 add 1 for the missing 3 boom 18.

Answer:

D) 18 marbles will be red

Step-by-step explanation:

We know that the order is Yellow, green, red, blue, brown due to it saying “in the order given”

We can say that every time 1 of each marble of these colors are dropped in we can make that a set and since and we know there are 5 marbles a set.

Now we know there are 88 marbles so we divide

88/5= 17 Remainder: 3

Now 17 sets so we know there are at least 17 of each marble In the jar

Now the remainder of 3

Following the order

1 would go into yello, 1 to green, and the last one to red

So thats an extra plus 1

Now we have

Yellow: 17+1=18

Green: 17+1=18

Red: 17+1=18

Blue: 17

Brown: 17

So there are 18 red marbles

CHECK:

We add all the final results and see if we get 88

18*3 (becuase there are 3, 18s)

18*3+17*2 (same for 17s, ther are 2 17s)

18*3=54

17*2=34

54+34=88

So its true

Here is a list of numbers:
-11, -5, 16, -19, 2, 10, 0, -11, -1
State the median.

Answers

Answer:

-1

Step-by-step explanation:

First, order the list of number from least to greatest:

-19 , -11 , -11 , - 5 , -1 , 0 , 2 , 10 , 16

Next, note the definition of a median. The median number is the number in the middle of a given set of numbers. In this case, it is -1.

-1 is your median.

~

-1 would be the answer
Other Questions
What I Have LearnedActivity 8. "Fill Me In"DateTopicalready know?KWhat do I wantto know?Wwhat did ILWhat otherquestions do IROW have? Determine the intercepts of the line.X-intercept:(____,____)Y-intercept:(____,____) 2. Solve for the x.8167 The larger of two numbers is 10 more than three times the smaller number the sum of the two numbers is 54 find the two numbers The USSR will counter all of this by putting what on Cuba?A. troopsB. citizensC. plantationD. missiles Can you help me with this please What is the main function of the mitochondria in a cell? Which equation can be solved to find x, the measure of 2 in the diagrambelow?A. (185 - x) = 76B. (185+ x) = 76C.X-76 = 185D.X + 76 = 185 Evaluate the expression 7+(-18)+(-6) What is TRUE about education and its effect on income?Typically, the level of education doesn't really have an effect on a person's income.High school dropouts and high school graduates generally earn the same level of income.People with graduate degrees are likely to make less than people who have earned a college degree.People who earn a college degree are likely to earn more than those who have a high school education. Relaciona. Match each person or group with the appropriate sentence ending.Usted y yo[Choose ]T[Choose ]Ella[Choose ]Yo[Choose ]Catalina, Pedro y usted[Choose ] Someone please help me with Punnett square How did Social Darwinism apply to Imperialism? * strong regulation of government socialism charity to the natives white man's burden Item 2Solve.52 2x = 428242428 Write the correct verb.a. Nous (aimer) aime_________________________ aller a lecole.b. Nous (etre) ____________________ dans le centre commercial. Evaluate 4(1/4)6x for x=1/3.Enter your answer as a fraction in simplest form in the box. Where can the options for inserting form fields and other document controls be found? Insert tab Developer tab References tab Design tab "How does a multicellular organism grow larger?The organism absorbs new cells from other organisms.BIndividual cells in the organism grow larger as they age.Cells in the organism divide, increasing the total number of cells. What fraction of 60 is 90? What is the distance between (4, 5) and (-7, -4) round to the nearest 10th if necessary