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RideAnS [48]
3 years ago
8

Refer to the above graph to answer questions 1 through 5. 1. Lines A and B form what type of system?

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

Lines A and B form a consistent independent system

Step-by-step explanation:

we know that

A consistent system of equations has at least one solution

In this problem

The system of Line A and Line B has only one solution, since it has only one point of intersection.

and the Line A is different to Line B

therefore

Lines A and B form a consistent independent system

(independent because Lines A and B are different)

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I need help i dont know what to do
vladimir1956 [14]

9514 1404 393

Answer:

  ∠CAB = 28°

  ∠DAC = 64°

Step-by-step explanation:

What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.

<u>Left</u>

Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...

  x + x + ∠AEB = 180°

  2x = 180° -124° = 56°

  x = 28°

The measure of angle CAB is 28°.

__

<u>Right</u>

Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.

  ∠BCA = ∠DAC = 64°

The measure of angle DAC is 64°.

(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)

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