MATHEMATICS MIDDLE SCHOOL

M is the midpoint of PQ and N is the midpoint of PR, and O is the intersection of QN and RM, as shown. If QN is perpendicular PR, QN = 12, and PR = 14, then find OR.
M is the midpoint of PQ and N is the - 1

Answers

Answer 1
Answer:

Answer:

 OR = √65

Step-by-step explanation:

M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...

  ON = QN/3 = 12/3 = 4

By the Pythagorean theorem, ...

  OR² = NR² +ON²

  OR² = 7² +4² = 65

  OR = √65
Answer 2
Answer:

Using the Pythagorean theorem, we can find the value of OR as √65 or approximately 8.06 .

In the given figure, we can use the Pythagorean theorem to find the value of OR.

The Pythagorean theorem is a formula that relates the lengths of the sides of a right triangle, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

This can be seen as c² = a² + b².

M and N are the midpoints of their respective sides, so O is the centroid of the triangle.

Given that QN is perpendicular to PR,ON = QN/3 = 12/3 = 4.

The value of ON =4, and the value of NR = PR/2

NR = 14/2(Because the N is midpoint for PR)

NR =7

By the Pythagorean theorem:-

 OR² = NR² +ON²

 OR² = 7² +4² = 65

 OR = 8.06

Learn more about Pythagorean theorem here:

brainly.com/question/28361847

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Answers

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PLEASEHELP!!!!!!!!!!Write an expression to describe a rule of the sequence. Then find the 100th term in the sequence.
4, 9, 14, 19, 24, 29.....
A)4+5n;504
B)5n-1; 499
C) 5n; 500
D) 4n+5; 405

Answers

Answer:

Option B is correct

a_n = 5n-1; 499

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

a_n = a_1+(n-1)d         ....[1]

where,

a_1 is the first term

d is the common difference of two successive terms

n is the number of terms.

As per the statement:

4, 9, 14, 19, 24, 29.....

This is a arithmetic sequence.

Here, a_1=4 and d =5

Since,

9-4 = 5,

14-9 =5,

19-14 = 5 and son on....

Substitute the given values in [1] we have;

a_n = 4+(n-1)5

⇒a_n = 4+5n-5 = 5n-1

⇒a_n = 5n-1

We have to find the  100th term in the given sequence.

For n= 100

a_(100) = 5(100)-1=500-1 =499

⇒a_(100) = 499

Therefore,  an expression to describe a rule of the sequence is, a_n = 5n-1 and the 100th term in the sequence is 499
A) 4+5n;504  Would be ur answer!!

Hope i helped:P 

You are planning to make and sell three different sizes if cylindrical candles. You buy 1 cubic foot of candle wax for $20 to make 8 candles of each size.a.)design the candles. What are the dimensions of each size of candle?

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c) Did you set the prices so that they are proportional to the volume of each size of candle? Why or why not?

Answers

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Mr. Sloan said that his car was worth $30,000 when he first purchased it however over the last three years it has decreased in value $5400 what integer represents the average decrease in value per year?

Answers

Answer:

The integer that represents the average decrease in value per year will be 1800.

Step-by-step explanation:

Suppose, the average decrease in value per year is  x dollar.

So, the amount of decrease in three years will be:  3x dollar.

Given that, the value of the car is decreased $5400 over the last three years. So, the equation will be......

3x=5400\n \n x=(5400)/(3)=1800

Thus, the integer that represents the average decrease in value per year will be 1800.
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