Answer:
Theresa's height is 60 inches
Step-by-step explanation:
The given parameters are;
The height of Paul = The height of Steve
Paul's height = 
times Theresa's height - 16 inches
Steve's height = 
times Theresa's height - 6 inches
Let 'T' represents Theresa's height, we have;
Paul's height = ×T - 16
Steve's height = ×T - 6
Paul's height = Steve's height
Therefore;
×T - 16 = ×T - 6
×T - ×T = 10
×T - 
×T = 10
×T = 10
T = 10 × 6 = 60
Theresa's height, T = 60 inches
Sum of interior angles = 180
180 - 60 = 120
120/4 = 30
m<L = m<A = 60
m<M = 30
m<C = m<N = 3(m<M) = 3(30) = 90
ΔACD is similar to ΔBCD by AA similarity theorem
AD/AC = BD/BC
x/5 = 4.2/6
6x = 21
x = 3.5
Hope this helps! ;)
Answer:
Angle Y = 35.69 degrees
Step-by-step explanation:
We can use some simple trigonometry to help us out. Here we know that side 7 is the opposite side relative to angle y, and 12 is the hypotenuse.
We think what trig ratio involves comparing opposite and hypotenuse. Sine is opposite over hypotenuse and we can set up a equation to solve.
Sine (Angle Y) = Opposite Side / Hypotenuse
Sine (Angle Y) = 7/12
(Angle Y) = Sine inverse (7/12)
Angle Y = 35.69
The equation of a parabola is:
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
