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3 years ago

The figure below shows parallel lines cut by a transversal:

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

7 0

Answer:

∠1 and ∠2 are congruent because they are pair of <u>corresponding angles</u>.

Step-by-step explanation:

The angles that lie on the same side of the transversal and are in matching positions are called corresponding angles.

Since ∠1 and ∠2 lie on the side of the transversal, where ∠1 is the exterior angle and ∠2 is the interior angle then it means that they have the same measure.

Please mark my answers as the Brainliest, if you find this helpful :)

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83 Cents = 2 Quarters, 1 Nickel, 4 Pennies.

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Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

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(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

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Then, collect like terms

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Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

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For the second inequality

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First, clear the fraction by multiplying both sides by 3

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Now, open the bracket

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Collect like terms

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Collect likes terms

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Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

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