Answer:
a) r ^ ¬q
b) p ^ꓥqꓥ^ r
c) r → p
d) p ^ ¬qꓥ^ r
e) (p ^ q) → r
f) r ↔ (q v p)
Step-by-step explanation:
ꓥ^ = AND Conjunction
vꓦ = OR disjunction
¬ = NOT Negation
↔ = Double Implication
→ = implication
Answer:
A. Because the measure of the angle 
is 
and the angles and 
are Vertical angles. Therefore, they are congruent ( 
)
B. 
Step-by-step explanation:
<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />
You can observe in the figure that the parallel lines 
and 
are intersected by a another line 
(this is a transversal).
Let's begin with PART B:
Observe that the angles 
and are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".
Since the lines and are parallel, we know that the Alternate Interior Angles are congruent. Then:
Now we can solve the PART A.
Observe the figure.
Since the angle and the angle share the same vertex, they are "Vertical angles" and, therefore, they are congruent:
Answer:
(0, 33) : Yes
(4.8, 30.5) : Yes
Step-by-step explanation:
height of at least 24 ft : y >= 24
horizontal distance of no more than 10 ft. : 0 <= x <= 10
The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:
y >= 3x and y <= 33
So Constraints:
24 <= y <= 33
y >= 3x
0 <= x <= 10
Now check to see if those coordinate points meet all the constraints
(0, 33) : Yes
(4.8, 30.5) : Yes
(9, 26) : No (because 26 is less than (3 * 9) = 27)
(4, 36)
: No (because 36 > 33, must be 24 <= y <= 33)
(2, 22): No (because 22 <24, must be 24 <= y <= 33)
Answer:
282ft
Step-by-step explanation:
83×3=249
249+33=282
Median is defined as the middle term when the scores are arranged in increasing/decreasing order.
Joaquin's scores: 58, 62, 72, 75, 85, 91 Median: 73.5
Trisha's scores: 55, 74, 76, 90, 91, 92 Median: 83
The answer is letter A.
