Find the measurement of the third angle of a triangle with two angles measuring 18° and 82°. Please show your work.

Mathematics

2 answers:

lapo4ka [179]4 years ago

8 0

A triangle is 180* so you substructure 18 and 82 from 180. Which is 80*

UNO [17]4 years ago

3 0

The sum of the measures of the interior angles of a triangle add up to 180 degrees.

Since you have two angles of the triangle, add them up to equal 180 in an equation and solve for x (the third angle).

18 + 82 + x = 180

Combine like terms.

100 + x = 180

Subtract 100 from both sides.

x = 80

The third angle of the triangle is 80 degrees.

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Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2

Lynna [10]

The equivalent expression to the given expression is $\mathbf{=-(\dfrac{7}{4}x+5)}$

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

$=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)$

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

$=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2$