The shape that best describes forest park is parallelogram. The correct answer is Option C).
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The two streets Oak and Maple are parallel.
The two streets Jefferson and Washington are parallel.
<u><em>step 2</em></u><em> :</em>
These parallel lines are intersecting each other.
<em>The properties of intersection of parallel lines:</em>
- In the figure the lines are not shown as right angle, so they are not perpendicular (angle ≠ 90° and the lines have same slope)
- The alternate interior angles are equal.
<u><em>step 3</em></u><em> :</em>
<em>The properties of parallelogram are:</em>
- Opposite sides are parallel with same slopes.
- Opposite angles are congruent (same).
<u><em>step 4</em></u><em> :</em>
- The parallel lines of the streets make the opposite sides of the parallelogram.
- The interior angles of parallel lines are the opposite angles of the parallelogram.
Thus, the shape forest park best describes parallelogram.
Answer:
22.5%
Step-by-step explanation:
let the standard deviation for market portfolio = σₙ
Also let the standard deviation for fully diversified portfolio = σₓ
<u>To calculate fully diversified portfolio</u>
fully diversified portfolio has <em>σₓ = βσₙ</em>
From the given question beta (β) = 1.25
Also standard deviation for market portfolio (σₙ) = 18% = 0.18
<em>From the equation above, σₓ = βσₙ </em>= 1.25×0.18 = 0.225
= 22.5% (converting to percentage)
<em></em>
Answer:
there's many! three examples of equivalent fractions to 1/3 are: 3/9 9/27. and 27/81
Hope that helps!
Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
