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Olegator [25]
2 years ago
5

If AB = AC; then B = C if

Mathematics
2 answers:
zloy xaker [14]2 years ago
8 0
A is a square matrix
Len [333]2 years ago
7 0
Number 1 is the correct option :)
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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
3 years ago
18. A glasscutter needs to cut rectangular pieces of
ololo11 [35]

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

  1. All four interior angles = 90° each.
  2. Opposite sides are parallel and equal to each other.
  3. Diagonals should be of the same length and should bisect each other.

<h3>Properties of a Rectangle</h3>
  • All four angles of a rectangle are 90° each.
  • There are two pairs of parallel sides that are equal in length.
  • The diagonals bisect each other and are of equal length.

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

  1. Make the four interior angles 90° each.
  2. The opposite sides should be parallel and equal to each other.
  3. The diagonals should be of the same length and should bisect each other.

Learn more about properties of rectangle on:

brainly.com/question/2835318

4 0
2 years ago
Molly wrote messages to her friends on the sidewalk. She used 1/4 of a piece of chalk that was 2 3/5 inches long. How many inche
IRINA_888 [86]

Answer:3/5 inches!!!!!!!!

5 0
2 years ago
Read 2 more answers
15 point question. please help
uysha [10]
(2,3) , (0,-3) , (-2,1) are the points. 
Hope this helps... Let me know if you wanna know anything. 
5 0
3 years ago
F(x)=x^2+3; g(x)=x+4<br> find (fog)(-2)
AnnyKZ [126]
(Fog) = f(g(x))
g(-2)=-2+4=2
f(2)=2^2 +3 = 4+3 =7
5 0
3 years ago
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