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2 years ago

A pair of parallel lines is cut by a transversal, as shown:

Mathematics

1 answer:

Hitman42 [59]2 years ago

8 0

The correct answer is option C which is x = y.

<h3>What is the alternate interior angle?</h3>

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.

Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.

Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.

Therefore the correct answer is option C which is x = y.

To know more about alternate interior angles follow

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1.2000 * 10^4

Step-by-step explanation:

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4 years ago

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4 years ago

Someone please help me w this standard form question

svp [43]

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2.4 × 10⁶

Step-by-step explanation:

Given:

$\sf x=3.8 \times 10^5$

$\sf y=5.9 \times 10^4$

To calculate the value of R, substitute the given values into the given formula:

$\begin{aligned}\sf R & = \sf \dfrac{x^2}{y}\\\\ \implies \sf R& = \sf \dfrac{(3.8 \times 10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{3.8^2 \times (10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44 \times 10^{10}}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44}{5.9} \times \dfrac{10^{10}}{10^4}\\\\& = \sf 2.4474... \times 10^{(10-4)}\\\\& = \sf 2.4474... \times 10^6\\\\\end{aligned}$

Therefore, the value of R to 1 decimal place is 2.4 × 10⁶

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<u>Exponent Rules used</u>

$(a^b)^c=a^{bc}$

${a^b}{a^c}=a^{b-c}$

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2 years ago

Read 2 more answers