Find the value of x for which ABCD must be a parallelogram.

Mathematics

1 answer:

Musya8 [376]2 years ago

5 0

The value of x is 13°.

Solution:

Given ABCD is a parallelogram.

⇒ AD || BC and AC is a transversal line.

Property of parallel lines:

If two parallel lines cut by a transversal, then the alternate interior angles are equal.

∠DAC = ∠CAB

(4x - 1)° = (x + 38)°

4x° - 1° = x° + 38°

Add 1° on both sides.

4x° - 1° + 1° = x° + 38° + 1°

4x° = x° + 39°

Subtract x° from both sides.

4x° - x° = x° + 39° - x°

3x° = 39°

Divide by 3° on both sides.

x = 13°

The value of x is 13°.

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ruslelena [56]

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5 0

2 years ago

This is also seventh grade math and I need the value of X again please... 12(x+10)=24?

Gnesinka [82]

Answer: x = -8

Step-by-step explanation: To solve for x in this equation, our first task is to simplify the left side by distributing the 12 through both terms inside the parentheses.

When we do that, we get 12 times x which is

12x and 12 times 10 which is 120.

So we have 12x + 120 = 24.

Our next task is to isolate the x term by subtracting 120 from both sides of the equation. On the left, 120 - 120 cancels and we're left with 12x. On the right, 24 - 120 simplifies to -96 so we have 12x = -96.

To get x by itself, we divide both sides by 12 and x = -8.

Work is also attached in the image provided.