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oksian1 [2.3K]
3 years ago
9

From be the degree measure of angle r

Mathematics
1 answer:
EastWind [94]3 years ago
7 0
Set up an equation: 4x + 3 = 2x + 4
then solve for x
then plug x back in to the expression for R
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Median AM and CN of △ABC intersect at point O. What part of area of △ABC is the area of △AON?
iogann1982 [59]

Answer:

The area of △AON is one-sixth part of △ABC.

Step-by-step explanation:

Let the total area of △ABC be x.

Median divides the area of a triangle in two equal parts.

Since AM are CN are medians, therefore the area of △ACN, △BCN, △ABM and △ATM are equal, i.e., \frac{x}{2}.

The intersection point of medians is called centroid of the triangle. A centroid divides the median in 2:1.

Since CN is median and O is the centroid of the triangle, therefore CO:ON is 2:1.

Draw a perpendicular on CN from A.

\frac{\text{Area of }\triangle ANO}{\text{Area of }\triangle ACN}=\frac{\frac{1}{2}\times ON\times h}{\frac{1}{2}\times CN\times h}=\frac{1}{3}

Therefore the area of △AON is one-third of △ACN.

\text{Area of }\triangle ANO=\frac{1}{3}\times\text{Area of }\triangle ACN

\text{Area of }\triangle ANO=\frac{1}{3}\times\frac{x}{2}

\text{Area of }\triangle ANO=\frac{x}{6}

The area of ANO is \frac{x}{6}. Therefore the area of △AON is one-sixth part of △ABC.

8 0
3 years ago
30 POINTS <br><br>what is the volume of the solid figure below
belka [17]

Answer:

I got B) 72 cm^3

Step-by-step explanation:

cube area= 4

rectangle area= 18

4*18= 72

3 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
fiasKO [112]

Answer:

Step-by-step explanation

:14-17

negative 26

4 0
3 years ago
On a book shelf you choose the 11th book from the left and the 10th book from the right.  How many books are on the shelf?
natita [175]
If you're talking about the books in between, it will/be 20 books
6 0
3 years ago
Marjorie is playing a new board game the rule state that when a player's piece lands on a red square the player must pay a penal
alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

---------------------

  • When the piece lands on the red square, the penalty is equal to <u>30 times the sum they roll on two numbers.</u>
  • Marjorie rolls 4 and 2, thus, the sum is 6.
  • The penalty is of 6 \times 30 = 180
  • She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.

A similar problem is given at brainly.com/question/12166019

6 0
3 years ago
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