Answer:
Yes, they are congruent
Step-by-step explanation:
Yes, they are congruent because all the side and angle lengths are congruent.
(2,5) ...........................................................................................
H(x)=5x+15+4x+20
if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5
If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together.
It will have a vertical asymptote when the denominator approaches zero.
2x-6=0
2x=6
x=3
So the vertical asymptote is the vertical line x=3
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3
