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3 years ago

Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

Step-by-step explanation:

Start by stating that the given angles are congruent.

Call the angle vertical to angle 1 "angle 3."

Then angle 3 and angle 1 are congruent by vertical angles.

Angle 3 and angle 2 are congruent by transitive congruence of angles.

That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.

Answer

You can prove the following theorem:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

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Mario is constructing a square dart board. It will consist of a smaller square centered in a larger square. The smaller square m

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Answer:

6 inches.

Step-by-step explanation:

Let a represent side length of larger square.

We know that area of square is square of its side length, so area of the larger square will be $a^2$ .

The area of smaller square would be $4^2$ .

We will use proportions to solve our given problem.

$\frac{\text{Area of smaller square}}{\text{Area of larger square}}=\frac{4}{9}$

$\frac{4^2}{a^2}=\frac{4}{9}$

$\frac{16}{a^2}=\frac{4}{9}$

Cross multiply:

$4*a^2=16*9$

$\frac{4*a^2}{4}=\frac{16*9}{4}$

$a^2=36$

Take square root:

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Since the length cannot be negative, therefore, the side length of larger square is 6 inches.

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3 years ago

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Are congruent triangles also similar?

jonny [76]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

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3 years ago

Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.​

Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.