1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bixtya [17]
3 years ago
6

Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0
Part (a):
We are given that Z is the <span>centroid of triangle RST. This means that Z is the point of intersection of the three medians of the triangle.
In other words:
W is the midpoint of RS
V is the midpoint of RT
We are given that:
RV = 4x + 3 and VT = 2x + 9
Since V is the midpoint, then:
RV = VT
4x + 3 = 2x + 9
4x - 2x = 9 - 3
2x = 6
x = 3

Part (b):
We are given that:
WS = 5x-1
x = 3
Therefore:
WS = 5(3) - 1 
WS = 15 - 1 = 14

Part (c):
Since W is the midpoint of RS, therefore RW = WS
We calculated WS = 14
Therefore:
RW = 14


</span>

You might be interested in
2) Is V23 a rational or an<br> irrational number?
Butoxors [25]

Answer:Irrational

Step-by-step explanation: There is not a number you can square to get 23. The answer would be a repeating number, being irrational.

4 0
3 years ago
In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

The length of u is 7.4inches to nearest 10th of an inch

6 0
3 years ago
What is 5 time 2 plus 3 to the power of 2
ch4aika [34]

i believe it is 19 if im wrong sorry

5 0
2 years ago
Read 2 more answers
According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who w
svlad2 [7]

Answer:

The year is  b =  1995

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       d =  a - k

=>    d =  31 - 28

=>   d =  3\%

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       n = \frac{3\%}{0.6\%}

=>     n = 5\ years

Generally the year which the considered percentage will be attained is  

    b =  1990 + n

=> b =  1990 + 5

=> b =  1995

6 0
3 years ago
2q+4q+3 what do it equal
Leto [7]

Add the similar variables (think apple+apple), in this case, we would add 2q+4q.

Well, what is 4 apples plus 2 apples? 6 apples, simply, 6q

Since 3 is without a variable, we will leave it as is

Therefore, 2q+4q+3= 6q+3

Hope this helped :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • ALl<br>can you help me please guys ​
    14·1 answer
  • The movie theater has 250 seats 225 seats were sold for the carriage showing what percent of seats are empty?
    10·1 answer
  • A quadratic graph has minimum point (-1,2). Find the equation of the graph
    10·1 answer
  • {(1,-3), (-2,3), (5,1), (6,4)}
    9·1 answer
  • What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
    13·2 answers
  • Is y=150x proportional?
    9·2 answers
  • According to your graphing calculator, what is the approximate solution to the trigonometric inequality cot(x)&gt; -7/8 over the
    9·2 answers
  • What is the volume of the cone pictured? (Use 3.14 for .)
    5·2 answers
  • john runs 2/5 miles in 1/20 of an hour. if he runs at a constant rate, what is his speed, in miles per hour?
    9·1 answer
  • What’s the x and y intercept? What’s the vertex and axis of symmetry?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!