<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
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Answer:
Prime
Step-by-step explanation:
If we have a point on a pre-image, we can have it labelled as A(x,y)
Now, we can write this as the image
To write this as the image, we simply have to add a mark on the A
This mark is at the upper right
We have it as A’ (x,y)
The part added is called a prime
The summary of directions of the parabola is:
a) Squared term is x
Parabola either opens up or down.
Positive coefficient means upward opening and negative coefficient means downward opening
b) Squared term is y
Parabola either opens right or left
Positive coefficient means rightwards opening and negative coefficient means leftwards opening
Since the coefficient is positive with squared x term, the parabola opens upward.
So the answer to this question is option D
We know that the 15% of missing pencils is equal to 9
we can use this formula
9/x = 15/100
Then cross multiply
15x = 900
x = 60
There were orignally 60 pencils
Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements 
Reason
1. 
║ 
, J is the midpoint of 
1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. 
≅ 
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ 5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines and , by the transversal are equal
Vertically opposite angles formed by the crossing of two straight lines 
and are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent ≅ , then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
