Please Help! The figure below shows parallel lines cut by a transversal:

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

Option 4.

Step-by-step explanation:

When two adjacent angles are formed at a point on a line so that sum of their measures is 180°, angles are called as supplementary to each other.

In the figure attached, ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

Option 4. is the right answer.

jolli1 [7]3 years ago

5 0

The answer is choice 4, they add up to 180°

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Rationalize the denominator of 4/14 root 2?

Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

$\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}$

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

$\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}$