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3 years ago

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

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aniked [119]

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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)

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132 = 4x -24

Add 24 to both sides:

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3 years ago

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Describe in your own words, at least one benefit of using tables to compare ratios?

Musya8 [376]

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

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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

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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)

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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

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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.

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3 years ago

Which decimal number is equivalent to 4/5? 0.4 0.04 0.8 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.

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3 years ago

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

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