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3 years ago

What is the answer thank you

Mathematics

2 answers:

Triss [41]3 years ago

3 0

b. alternate angles are equal

hope this helps!!

goldenfox [79]3 years ago

3 0

b.) alternate angles are equal

If a transversal intersects two parallel lines, each pair of alternate angles are equal.

<u>Given:</u> Two parallel lines and a transversal.

<u>Prove:</u> Each pair of alternate angles are equal (same degrees).

Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal

Try using a protractor to measure the angles to prove that they have the same angle degrees.

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The solution to the equations are:

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9x² - 36x + 36 = 0

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ax² + bx + c = 0

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<h3>Part B: Describe the solution</h3>

The equation is given as:

x² - x + 4 = 0

The above equation can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-1)² - 4 * 1 * 4

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A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x² + 23 – 35

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4x² -12

Factor out 4

4(x² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

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