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
elena-14-01-66 [18.8K]
3 years ago
13

If point C is the centroid of triangle RST and SD = 21, find SC. show your work.​​

Mathematics
2 answers:
blagie [28]3 years ago
4 0

Answer:

SC = 14 units

Explanation:

Centroid of a triangle refers to the point where it's 3 median intersect. It's the centre point of the triangle.

the point of intersection divides all three median into two parts. the parts are in ratio 2 : 1. The part of the median starting from the vertex to the midpoint is 2/3rd of the median.

SD = 21

SC = 2/3 of 21

= 2/3 × 21

= 14

Dahasolnce [82]3 years ago
3 0

Answer:

  • SC = 14

Step-by-step explanation:

Point C is the centroid.

Property of centroid: the medians are divided in 2:1 ratio from the vertices.

  • SD = 21
  • SC = 2/3*21 = 14

You might be interested in
Examine the diagram.
aniked [119]

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.

Setting up the equation you would have: 132 = x + (3x-24)

Now solve for x:

132 = x + (3x-24)

Simplify:

132 = 4x -24

Add 24 to both sides:

156 = 4x

Divide both sides by 4:

x = 156/4

x = 39

8 0
3 years ago
Read 2 more answers
Describe in your own words, at least one benefit of using tables to compare<br> ratios?
Musya8 [376]

Step-by-step explanation: it would help to compare whitch the answer would be 5 to 7

4 0
3 years ago
A publishing company claims that in fall 2019, the average price of college textbooks for a single semester is $385. Suppose you
hram777 [196]

Answer:

We accept H₀ . We don´t have enough evidence to express the publisher claim is not true

Step by Step explanation:

We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher

n < 30 then we must use t - distrbution

degree of freedom   n  - 1     df = 22 - 1     df = 21

As the question mentions " different " that means,  a two-tail test

At 0,01 significance level     α  = 0,01       α/2  =  0,005

and t(c)  = 2,831

Test Hypothesis

Null Hypothesis                      H₀          μ  =  μ₀

Alternative hypothesis           Hₐ          μ  ≠  μ₀

To calculate t(s)

t(s)  =  (  μ  -  μ₀ ) /σ/√n

t(s)  =  (  433,50 - 385 ) / 86,92 / √22

t(s)  =  2,6171

Comparing   t(c)   and t(s)

t(s) < t(c)

Then  t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim

6 0
3 years ago
Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its b
Natalija [7]

Answer:

Slope of the base segment line is zero, hence base segment is horizontal

Slope of the segment that joins the vertex angle to the midpoint of its base is undefined hence the line is vertical

Therefore, angle between base segment line and the segment line from the vertex angle to the midpoint is perpendicular

Therefore, the segment that joins the vertex angle to an isosceles triangle to the midpoint of its base is perpendicular to the base

Step-by-step explanation:

Here we prove the required relation as follows;

Let the isosceles be ABC

The coordinates of the points are

C = (0, 0) (Vertex)

A =  (-a, b)

C = (a, b)

P = (0, b) (Midpoint of base)

Therefore, the gradient or slope of the base AC is presented as follows;

Slope, m \, of \. base, \, AC= \frac{dy}{dx}  = \frac{b - b}{a - (-a)}  = \frac{0}{2\cdot a} = 0

Hence, segment AC is vertical

Slope, m \, of \, segment \ CP \,  joining \, vertex, \, to \, midpoint, P, on  \,AC = \frac{0 - b}{0 - 0}  = \frac{-b}{0} = Undifined.

Hence, segment CP is vertical

Therefore, the segment that joins the vertex angle to an isosceles triangle to the midpoint of its base is perpendicular to the base.

6 0
3 years ago
Which decimal number is equivalent to 4/5?<br> 0.4<br> 0.04<br> 0.8<br> 0.08
Aleksandr-060686 [28]
If you would like to know the decimal number which is equivalent to 4/5, you can do this using the following steps:

4/5 = 8/10 = 0.8

The correct result would be 0.8.
8 0
3 years ago
Other questions:
  • PLEASEEEEE HELPPPPP
    6·1 answer
  • The first term of a geometric sequence is 1 and its common ratio is 6. What is the sixth term?
    9·1 answer
  • List all the 3-digit even numbers that can be created by rearranging these number tiles.<br> 582
    14·1 answer
  • The relationship (3,2)(2,5) (8,5) (3,6) is a function<br> A True<br> B) False
    7·1 answer
  • Solve for n.<br> n<br> 2–1 &lt; 3
    7·2 answers
  • Ayo who gon win a fight yo mom or goku
    11·2 answers
  • Mr Chopra wants to put a wooden border around a painting. If the length of the painting is 40 cm and its breadth is 25 cm, what
    7·1 answer
  • Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an e
    6·1 answer
  • Someone help me please
    5·2 answers
  • I need help finding what 875 divided by 46 is ?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!