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klasskru [66]
3 years ago
9

Simplify the expression: 10 + 3(7 + 2u)

Mathematics
2 answers:
Katarina [22]3 years ago
3 0

Answer:

31 +6u

Step-by-step explanation:

10 + 3(7 + 2u)

Distribute

10 +3*7+3*2u

10 +21 +6u

Combine like terms

31 +6u

Dimas [21]3 years ago
3 0

Answer:

31 + 6u

Step-by-step explanation:

<u>Step 1:  Distribute</u>

10 + 3(7 + 2u)

10 + (3 * 7) + (3 * 2u)

10 + 21 + 6u

<u>Step 2:  Combine like terms</u>

10 + 21 + 6u

31 + 6u

Answer:  31 + 6u

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To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

<h3>Use the Angle Sum Property</h3>

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:

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<h3>Combine Like Terms</h3>

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After combining like terms, subtract 107 from both sides of the equation:

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\boxed{x=73}

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