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Darya [45]
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:
vaieri [72.5K]3 years ago
8 0
Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.

So,W is the midpoint of RSV is the midpoint of RTWe are given that:RV = 4x + 3 and VT = 2x + 9

Since V is the midpoint, then:RV = VT4x + 3 = 2x + 94x - 2x = 9 - 32x = 6x = 3

Now put the value of x in WS = 5x-1WS = 5x-1WS = 5(3) - 1 WS = 15 - 1 = 14WS = 14

Since W is the midpoint of RS, therefore RW = WSand WS = 14Therefore:
RW = 14
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Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?
Ronch [10]

Answer:

<u>2/5 < 5/8 < 6/7 < 1 </u>

   <u>OR</u>    

<u>1 > 6/7 > 5/8 > 2/5</u>

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

<u>2/5 < 5/8 < 6/7 < 1</u>

Or can be written from the greatest to the least as:

<u>1 > 6/7 > 5/8 > 2/5 </u>

6 0
3 years ago
Pls answer with real answers only thank you
aev [14]
Answer: 32.35 cm^2

Step by step:

Find the area of the rectangle first.

A= L • W
A= 11 • 4.2
A= 46.2 cm^2

Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.

Half of the diameter is 2.1 cm which is the radius.

A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2

Then you would subtract 13.85 from 46.2 to find the shaded portion.

Hope this helps :))

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3 years ago
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Answer:

31536000

Step-by-step explanation:

if the average heart beats 60 beats per minute and there are 525600 minutes in a year multiply

4 0
3 years ago
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How can I solve 900-382?
BlackZzzverrR [31]

   899

   900

-  382

<h3>   517</h3><h3>Hope this helps</h3>
6 0
3 years ago
Test the statement to see if it ir reversible. If so,write it as a true biconditional.
zmey [24]

Answer:

It is an octagon if and only if it has eight sides.

Step-by-step explanation:

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