HELP PLEASE! THIS IS A WORD PROBLEM 30 POINTS!!!!!
1 answer:
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Answer: 114°
Step-by-step explanation:
<h2>Concept: </h2>Here, we need to know the idea of the "Exterior Angle theorem".
<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.
If you are still confused, then refer to the attachment below for a graphical explanation.
<h2>Solve:</h2>Given
24 + (2x + 18) = 3x + 6
Put like terms together
24 + 18 + 2x = 3x + 6
Combine like terms
42 + 2x = 3x + 6
Subtract 6 on both sides
42 + 2x - 6 = 3x + 6 - 6
36 + 2x = 3x
Subtract 2x on both sides
36 + 2x - 2x = 3x - 2x
x = 36
Exterior angle = 3x + 6 = 3(36) + 6 = 114°
Hope this helps!! :)
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Answer: x = -8
Step-by-step explanation: To solve for <em>x</em> in this equation, our first task is to simplify the left side by distributing the 12 through both terms inside the parentheses.
When we do that, we get 12 times x which is
12x and 12 times 10 which is 120.
So we have 12x + 120 = 24.
Our next task is to isolate the x term by subtracting 120 from both sides of the equation. On the left, 120 - 120 cancels and we're left with 12x. On the right, 24 - 120 simplifies to -96 so we have 12x = -96.
To get <em>x</em> by itself, we divide both sides by 12 and <em>x = -8</em>.
Work is also attached in the image provided.
