The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...
3h + 18 + 15h = 180
Combine like terms
18h + 18 = 180
Subtract 18 to both sides
18h + (18 -18) = 180 - 18
18h = 162
Isolate h by dividing 18 to both sides
18h/18 = 162 /18
h = 9
Hope this helped!
Answer:
x ≈ 22.0°
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
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x°</em>
Opposite Leg = 3
Hypotenuse = 8
<u>Step 2: Find </u><em><u>x°</u></em>
- Substitute [Sine]: sinx° = 3/8
- Inverse trig: x° = sin⁻¹(3/8)
- Evaluate: x = 22.0243°
- Round: x ≈ 22.0°
First and last blank im guessing is intersect or overlap the 2 in the middle should be...
You have to be more specific and is there any multi question answer to choose from if so please list them