Answer:
No. Comedy is the women's best genre followed closely by Drama.
Step-by-step explanation:
When it comes to relative frequencies, we have to consider that relative to the absolute quantity, in other words in percent (%) of the total.
If a randomly selected female participant is chosen, according to our data, action movie is the one prefered by only 0.25 i.e. (25%) or 1 out of 4 women would pick action movie, as their favorite genre.
Looking at the graph 39.2% of the women chose Comedy as their favorite, followed by Drama with 32.5% of the female respondents.
Given
R is the interior of ∠ TUV.
m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.
Find the value of x and the m ∠TUV.
To proof
As given in the question
m ∠TUV=3x+16, and m ∠TUR=x+10
thus
m∠ RUV = m∠ TUV - m∠ TUR
= 3x + 16 - x -10
= 2x + 6
As given
m ∠RUV=30°
compare both the values
we get
30 = 2x + 6
24 = 2x
12 = x
put this value in the m ∠TUV= 3x+16
m ∠TUV= 12× 3 +16
= 52°
Hence proved
Answer:
A
Step-by-step explanation:
For any point (x, y ) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y - 8 |
Squaring both sides gives
(x - 2)² + (y - 4)² = (y - 8)²
(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )
(x - 2)² = - 8y + 48
8y = - (x - 2)² + 48
y = - (x - 2)² + 6 → A