Answer:
False
Step-by-step explanation:
Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.
Answer:
Step-by-step explanation:
let present age of
Dylan=x
Renee=y
x+y=57
9 years ago
x-9=2(y-9)=2y-18
x=2y-18+9=2y-9
so 2y-9+y=57
3y=57+9=66
y=66/3=22
x+22=57
x=57-22=35
Dylan's present age=35 years
Answer:
7
Step-by-step explanation:
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
