The <em><u>correct answer</u></em> is:
A line of reflection would need to be drawn as a line that bisects a vertex angle of the pentagon.
Explanation:
A line that bisects a vertex angle of a pentagon will be a line of symmetry within the pentagon. The pentagon can be "folded" through this line into two equal halves.
This imaginary line represents the center of the pentagon. A reflection through this line will carry the pentagon onto itself. This is due to the definition of line symmetry:
"A set of points has line symmetry if and only if there is a line, l, such that the reflection through l of each point in the set is also a point in the set."
Additionally, for any regular polygon, the number of lines of symmetry equals the number of sides.
This means that this line can be through any vertex angle of the polygon.
Answer:
BC ≈ 1.40
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] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 35°
Opposite Leg BC = <em>x</em>
Adjacent Leg AC = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [Tangent]: tan35° = x/2
- Isolate <em>x</em>: 2tan35° = x
- Rewrite: x = 2tan35°
- Evaluate: x = 1.40042
- Round: x ≈ 1.40
<span>perimeter of a rectangular rug is 30 yd
P= L+L+W+W
</span><span>P= 9+9+W+W
P= 18 + 2W
</span><span>18 + 2W = 30
2W = 30-18
</span><span>W= 12/2 = 6
A= L x W
A= 9 x w
</span><span>A= 9 x 6 = 45 yd square</span>
Answer:
5500 meters
Step-by-step explanation:
Meters = m
Kilometres = km
We use the general formula,
1 km = 1000 m
Then by using the general formula,
5.5 km = <u> </u><u>?</u><u> </u> m
→ 5.5 km/1 km × 1000 m
→ 5.5 m × 1000 m
→ 5500 m
Hence, the solution is 5500 m.
Distribute the-2 to the y and the 4 then subtract the 2y from what u just got thenbring the y to one side the answer should be y>-4