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Georgia [21]
3 years ago
9

P is the centroid of triangle MNO. MP=14x+8y. write expressions to represent PR and MR number 22 on sheet

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

  • PR = 7x +4y
  • MR = 21x +12y

Step-by-step explanation:

The centroid is 1/3 the distance from the side to the opposite vertex. Hence ...

... PR = (1/3)(MP + PR)

... 3PR = MP + PR . . . . . . multiply by 3

.. 2PR = MP . . . . . . . . . . . subtract PR

... PR = MP/2 = (14x +8y)/2 . . . . . divide by 2, substitute for MP

... PR = 7x +4y

Of course, MR = MP + PR, so ...

... MR = (14x +8y) + (7x +4y)

... MR = 21x +12y

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The base of a triangle is 4 inches more than 8 times its height.
Zanzabum

Answer:

12

Step-by-step explanation:

The area of a triangle is given by A=1/2bh, and from the first line give sus b=4+4h. Therefore we get A=(1/2)(4+4h)h=12. Or (2+2h)h=12. We can simplify further by dividing both sides by 2, and we get (h+1)h=6 or multiplying out h^2+h=6 which gives h^2+h-6=0. This we can factor into (h+3)(h-2)=0 or h=2, or -3. We have a positive hight, therefore, h=2 which gives us a base of b=4+4*2=12. So a base of 12inches. and a hight of 2 inches. We can plug this into the original area formula and see we get an answer of 12

5 0
3 years ago
Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395
Arlecino [84]
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rule: +100
4 0
4 years ago
Read 2 more answers
Which is the greatest of these rational numbers?
mrs_skeptik [129]

Answer:

19/25

Step-by-step explanation:

Convert the two fractions into decimals by dividing the numerator by the denominator. 19/25 = 0.76 and 5/20 = 0.25

Now you have: 0.76, 0,680, 0.33 and 0.25.

0.76 is the greatest rational number because it is closest to 1.0, making 19/25 the correct answer.

6 0
4 years ago
There are 180 girls in a mixed school. if the ratio of girls to boys is 4 : 3,
Gennadij [26K]

Answer:

that is the solution to the question

6 0
4 years ago
Can anyone help me please??
allochka39001 [22]

Answer:

-20x / (x-12) = y

Step-by-step explanation:

3/x  - 5/y  = 1/4

Multiply each side by 4xy to clear the fractions

4xy ( 3/x  - 5/y  = 1/4)

Distribute

12y - 20x = xy

Subtract 12y from each side

-20x = xy -12y

Factor out y

-20x = y(x-12)

Divide each side by (x-12)

-20x / (x-12) = y

4 0
4 years ago
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