Use the drawing tools to form the correct answer on the graph. Graph this function. f(x) = -1/3x+8
1 answer:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-2, -1)
Point (-8, 11)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Add:
- [Fraction] Divide:
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Answer:
x = 13°
Step-by-step explanation:
Check the diagram attached below to see how the angles labelled A and B, which are interior angles of the triangle where x is found.
Let's find the measure of angle A and angle B.
m<A = 85° (vertical angles are congruent)
m<B = 180° - 98° = 82° (corresponding angles/supplementary angles)
Thus:
x + A + B = 180° (sum of interior angles of a ∆)
x + 85° + 82° = 180° (substitution)
x + 167 = 180
x = 180 - 167 (Subtraction property of equality)
x = 13°
