Answer:
65 mph on level road
Step-by-step explanation:
Set b as average speed on the level road and (b-20) = average speed on the winding road
Distance = speed * time
Level Road distance + winding road dististance = 285 miles
Substituting b and (b-20), we have,
3b + 2(b-20) = 285
3b + 2b - 40 = 285
5b = 285 + 40
5b = 325
b= 325/5
b = 65 mph on level road
Answer:
(i) Yes
(ii) Yes
Step-by-step explanation:
We are given that
AB=AC
(i)D is the mid-point of BC
BD=DC
In triangle ADB and triangle ADC
AD=AD
Reason: Reflexive property
BD=DC
Reason:Given
AB=AC
Reason: Given
ADB
ADC
Reason:SSS postulate
Yes, triangle ADB is congruent to triangle ADC
(ii) Angle B=Angle C
Reason: CPCT
Yes , angle B=angle C
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
Answer:
Yes
Step-by-step
If there flipped then they’re congruent
