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3 years ago

How to prove the converse to the same side interior angles theorem

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

Answer:If two lines are cut by a transversal and the consecutive interior angles are supplementary ...

Step-by-step explanation:

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What is the value of n? enter your answer in the box.

ankoles [38]

Answer:

n = 8

Step-by-step explanation:

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

3n = 4 × 6 = 24 ( divide both sides by 3 )

n = 8

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2 years ago

Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the

AveGali [126]

The answer i got was 23.75 hope this helps

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2 years ago

In which of these numbers does the digit 4 represent 4/100

Tpy6a [65]

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2 years ago

1. Mr. Green works as the art teacher at Hamburg Summer Day Camp. Six hundred

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The amount of percentaile of 600 to 6 is 1%

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3 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

3 years ago

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