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AleksandrR [38]
3 years ago
11

How many solutions are there to the system of equations graphed below if the lines are parallel ???

Mathematics
1 answer:
Elodia [21]3 years ago
6 0
No solutions

If the lines are parallel that means that the lines NEVER intersect. And since the lines never intersect, there will be no solutions

~~hope this helps~~
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Solve: 16x = 8<br> A. 1/2<br> B. 2<br> C. 4<br> D. 12
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3 0
2 years ago
Read 2 more answers
For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you
zzz [600]

Answer:

  • x = 7
  • y = 97°
  • z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

  • x = 7
  • y = 97°
  • z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0
2 years ago
Find a number such that 10 less than two thirds the number is one fourth the number
Ivan

Answer:

the number is 24

Step-by-step explanation:

10 less than two thirds the number is one fourth the number

Let the unknown number be x

two third of the number is \frac{2}{3} x

10 less than two third the number becomes

\frac{2}{3}x-10

one fourth the number becomes \frac{1}{4}x

10 less than two thirds the number is one fourth the number

\frac{2}{3}x-10=\frac{1}{4}x

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

\frac{2*12}{3}x-10*12=\frac{1*12}{4}x

8x - 120 = 3x

add 120 on both sides

8x = 3x + 120

Subtract 3x on both sides

5x = 120

divide by 5 on both sides

x= 24




3 0
3 years ago
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