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RSB [31]
2 years ago
7

Simplify the expression 6m^2n-14mn^2-mn^2+2m^2n

Mathematics
1 answer:
Marrrta [24]2 years ago
3 0

Answer:

8m^2n−15mn^2

Step-by-step explanation:

(6m^2n+2m^2n)+(−14mn^2−mn^2)

= 8m^2n−15mn^2

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Find the value of each variable so that the quadrilateral is a parallelogram.
Dmitry [639]

Answer:

<em>x = -2</em>

<em>y = -5</em>

Step-by-step explanation:

<u>Properties of a Parallelogram</u>

  • Two pairs of opposite sides are parallel.
  • Two pairs of opposite sides are equal in length.
  • Two pairs of opposite angles are equal in measure
  • The diagonals bisect each other.
  • Adjacent angles are supplementary.
  • Each diagonal divides the quadrilateral into two congruent triangles.

Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:

y + 23 = -4y - 2.  And

-2x + 6 = x + 12

Solve the first equation. Adding 4y:

5y + 23 = - 2

Subtracting 23:

5y = -25

Dividing by 5:

y = -5

Solve the second equation. Subtracting x and 6:

-3x = 6

Dividing by -3:

x = -2

Solution:

x = -2

y = -5

4 0
2 years ago
Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
Lady bird [3.3K]

Answer:

56

Step-by-step explanation:

V=lwh/3

im guessing its a square pyramid?

14(12)/3

=56

6 0
3 years ago
Mr. James has 53 paint brushes to share with 4 classes. Are there enough for each class to have the same amount? Are there any l
olga2289 [7]

Answer:

Mr. James can give each class 13 paint brushes and have one left over.

Step-by-step explanation:

Since he can't give a class a fraction of a paint brush, you don't divide any farther and get a remainder of 1. I attached a picture of the long division.

5 0
3 years ago
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Answer:

Given

Step-by-step explanation:

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7 0
3 years ago
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasi
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