Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
The answer to the question
3/4 2/3
This is a multiplication of fractions
1.- Multiply the numerators and the denominators
3/4 x 2/3 = (3x 2) / (4 x 3)
= 6/12
2.- Simplify
= 3/6
= 1/2
Answer:
f(3) = -17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -5x - 2
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(3) = -5(3) - 2
- Multiply: f(3) = -15 - 2
- Subtract: f(3) = -17
Answer: I think it's b
Step-by-step explanation: