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Anna11 [10]
3 years ago
8

A teacher asked the class to solve the equation 3(x + 2) = 21.

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
6 0
3)distributive property
Robert had given 3 to each term. which then results in 3x+6=21. Then. if he further went on, you would subtract 6 from each side giving you 15 then divide 15 by 3 giving you x=5. 
vivado [14]3 years ago
3 0
It is the distubitive property because he got rid of the ( )
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Find Lm=<br> Help me please thanks
Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

2 × π × r × (60° /360°) = π

r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

LO = ON = OM = MN = Radius = 3 cms

Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

LM² + MN² = (LO + ON)²

LM² + r² = (r+r)²

LM² + r² = 4r²

LM² = 3r²

LM² = 3(3²)

LM = √27 cms

LM = 3√3 cms

Hence, the length of LM is 3√3 cms.

Learn more about Triangle:

brainly.com/question/2773823

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Step-by-step explanation:

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