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3 years ago

13

Name the angle pair: ∠2 and ∠3

2 answers:

mariarad [96]3 years ago

5 0

Same side exterior angles

DIA [1.3K]3 years ago

3 0

Answer:

alternate interior angles

Step-by-step explanation:

Alternate interior angles are the angles formed on the opposite sides of the transversal. Among these, the angles that lie on the inner side of the parallel lines but on the opposite sides of the transversal are known as the alternate interior angles.

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The number of kilometers George ran is equal to the product of two odd integers. George May have run ? kilometers.

Serggg [28]

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Although eleven is a prime number, it's two factors (1 and 11) are odd integers

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3 years ago

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3 years ago

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

What is the volume of the square-based pyramid shown below?

Taya2010 [7]

Answer:

12 cm³

Step-by-step explanation:

Formula :

$edge^2(\frac{height}{3} )$

input

3²(4/3)

x3 and /3 cancel out

remaining = 3(4) = 12

units = cm³

12 cm³

If my answer is incorrect, pls correct me!

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

-Chetan K

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3 years ago