Answer:
x = 15.7945
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 33°
Opposite Leg = <em>x</em>
Hypotenuse = 29
<u>Step 2: Find Angle</u>
- Substitute in variables [sine]: sin33° = x/29
- [Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = x
- Rewrite: x = 29sin33°
- Evaluate: x = 15.7945
Answer is 7
Step by step explanation
3x+159=180
3x=180-159=21
x=7
<h2>
Answer:</h2>
The conditional statement is:
- If two lines are parallel then they lie in the same plane.
<h2>
Step-by-step explanation:</h2>
We know that a conditional statement is the statement which is written in the form of:
If p then q i.e. p → q
where p is the hypothesis of the statement.
and q is the conclusion of the statement which is based on the hypothesis.
Here we are given a statement as:
Two parallel lines lie in the same plane.
i.e. the hypothesis of the conditional statement is:
Two lines are parallel.
and conclusion is: They will lie in the same plane
( Because if two lines lie in the same plane then we can't conclude that they will be parallel )
Answer:
<em><u>2</u></em><em><u>3</u></em><em><u>.</u></em><em><u>E</u></em>
Step-by-step explanation:
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