Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.
<h3>How to Apply the Law of Sines?</h3>
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
Given the following:
- x (YZ) = ?
- X = 32°
- z = 24
- Z = 180 - 32 - 94 = 54°
Plug in the values
x/sin 32 = 24/54
x = (sin 32 × 24)/sin 54
x ≈ 15.7 units.
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Just use 3 tens and 1 ones.
The answer to both equations is 'A'. For the first you just input the value of 20 to replace n and get 700. (Side-note: the number 20, which is your variable, should be nowhere in the function so you know b is wrong). so now that you have your answer 700 the second part is self explanatory.
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Answer:
Question 1:
The angles are presented here using Autocad desktop application
The two column proof is given as follows;
Statement
Reason
S1. Line m is parallel to line n
R1. Given
S2. ∠1 ≅ ∠2
R2. Vertically opposite angles
S3. m∠1 ≅ m∠2
R3. Definition of congruency
S4. ∠2 and ∠3 form a linear pear
R4. Definition of a linear pair
S5. ∠2 is supplementary to ∠3
R5. Linear pair angles are supplementary
S6. m∠2 + m∠3 = 180°
Definition of supplementary angles
S7. m∠1 + m∠3 = 180°
Substitution Property of Equality
S8. ∠1 is supplementary to ∠3
Definition of supplementary angles
Question 2:
(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal
(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal
(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal
(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular
(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal
Step-by-step explanation: