Answer
<F = 105°
<G = 41°
<J = 34°
GJ = 19m
JH =14m
GH = 16m
Step-by-step explanation:
Since triangle DEF is congruent to triangle GJH, the following are true
<D = <G
<E = <J
<F = <H
Given
<H = 105°
Hence <F = 105°
Also <E = 34° =<J
From ∆GHJ
<G+<H+<J = 180°
<G+105+34 = 180°
<G + 139 =180
<G= 180-139
<G = 41°
Get the sides. For the sides, the following are true
DE = GJ = 19m
Also EF =JH = 14m
DF =GH = 16m
Answer:
7.5s
1.6666 repeating or 1.67 m/s²
Step-by-step explanation:
the equation you have to use is Vfinal=Vstart+acceleration•time
(I'm gonna simplify to Vf=Vs+at)
so you gotta rework it for the two equations
for the first equation you need time so take Vf=Vs+at and subtract Vs on both sides to get Vf–Vs=at
then divide acceleration on both sides to get t=(Vf–Vs)/a
for the second problem equation need the equation a=(Vf–Vs)/t (just divide time on both sides instead of acceleration)
so you the plug in
(I don't put the units in to the problem unless needed)
1. t=(Vf–Vs)/a to t=(0–30)/-4.0
t= -30/-4.0
t=7.5 seconds
2. a=(Vf–Vs)/t to a=(10–0)/6.0
a= 10/6.0
a= 1.67m/s²
(I'm assuming the that for number two they started at rest so it would be 0m/s for velocity start)
Answer:
y=-1/5x+9
Step-by-step explanation:
-1/5x is the slope and 9 is y intercept
Answer:
the number if people in line when the booth opened.
Step-by-step explanation:
70-5x: the number goes down by 5 people per minute. So for example if it has been 10 minutes, 50 people would’ve been given their tickets.
The answer is 35.
For g(-3), we substitute -3 for x:
g(-3) = 4f(-3) - 1
Since f(x) = x², this means that
f(-3) = (-3)² = 9; we can put this in place of f(-3):
g(-3) = 4(9) - 1
g(-3) = 36 - 1 = 35