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natka813 [3]
3 years ago
5

How many solutions does the system have?

Mathematics
1 answer:
marishachu [46]3 years ago
3 0

Answer:

{x,y} = {-2,2}

Step-by-step explanation:

Solve equation [2] for the variable  y  

 

  7y = 7x + 28

  y = x + 4

Plug this in for variable  y  in equation [1]

-8x + 4•(x +4) = 24

-4x = 8

Solve equation [1] for the variable  x  

4x = - 8  

x = - 2

By now we know this much :

   x = -2

   y = x+4

Use the  x  value to solve for  y  

   y = (-2)+4 = 2

Solution :

{x,y} = {-2,2}

and this intersects at only one point so your answer is A

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The two triangles shown are similar. Find the value of d/c
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D. None of the above

Step-by-step explanation:

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The dimensions (width and length) of room1 have been read into two variables: width1 and length1. the dimensions of room2 have b
Reika [66]
Hello : 
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x : </span> width1       y : <span>length1
z : </span>width2        k : <span>length2
A : </span><span>the total area of the two rooms
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3 0
3 years ago
Simplify this expression please and thank you
Sergeeva-Olga [200]
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step-by-step explanation
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8 0
2 years ago
What are the remaining angle measures if the figure is to be a parallelogram?
Kobotan [32]

Answer:

We conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

Step-by-step explanation:

Given the parallelogram ABCD

We know that a parallelogram has opposite angles that are congruent.

Here,

The angles ∠A and ∠C are opposite angles.

Thus,

  • ∠A = ∠C

The angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

<u>Determining the measure of angles of a parallelogram:</u>

As

∠A = 79°

We know

  • ∠A = ∠C

Thus, the measure of the angle ∠C is:

m∠C = 79°

We know that the sum of the measure of two consecutive angles is 180°.

As ∠A and ∠D are consecutive angles, so

∠A + ∠D = 180°

substituting ∠A = 79° in the equation

79° + ∠D = 180°

subtracting 79° from both sides

79° + ∠D - 79° = 180° - 79°

∠D = 101°

Thus, the measure of the angle D is:

m∠D = 101°

We know that the angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

so if m∠D = 101° then ∠B is also 101°.

Therefore, the measure of angle B is:

m∠B = 101°

Hence, we conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

7 0
3 years ago
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