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Answer:
-7
Step-by-step explanation:
The coordinates of the point wich divide the segment AB, where
in ratio
can be calculated using formula

In your case,

Hence,

Therefore, x-coordinate of the point that divides AB into a 3:4 ratio is -7.
The answer is w + 10.
First, remove parenthesis 4w + 3 -3w + 7
Collect the like terms w + 3 + 7
Add like terms 3 + 7 = 10
Solve w + 10
Answer:

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] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 30°
Adjacent Leg = <em>x</em>
Hypotenuse = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [cosine]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

Answer
7:1
Step-by-step explanation:
Simplify both sides by 7