Answer:
It’s 60miles
Step-by-step explanation:
We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.
The time with no current is ...
time1 = distance/speed
time1 = d/12 . . . . hours
With a current of 2 mph in the opposite direction, the time is ...
time2 = d/(12 -2) = d/10
The second time is 1 hour longer than the first, so we have ...
time2 = 1 + time1
d/10 = 1 + d/12
6d = 60 + 5d . . . . multiply by 60
d = 60 . . . . . . . . . subtract 5d
The one-way distance is 60 miles.
Answer:
a = 2
b = -1
7(2y^2 + (-1)y - 3) =
14y^2 - 7y -21
Step-by-step explanation:
X = 1
3( x - 2 ) + 2 ( x + 5 ) = 9 x
5x+4=9x
x=\frac{-4}{-4}
x=1
Answer:
8
Step-by-step explanation:
Measure of one interior angle of a regular polygon of n sides:
(n - 2)180/n
Measure of one exterior angle of a regular polygon if n sides:
360/n
"the interior angle is thrice the exterior angle"
(n - 2)180/n = 3 * 360/n
(n - 2)180 = 3 * 360
n - 2 = 3 * 2
n = 8
The number of sides is 8.
Answer:
∠EFG=(3× 11.2+17)º = 50.6°
∠LMN= (12×11.2−5)º = 129.4°
Step-by-step explanation:
We know that if two angles are supplementary two each other sum of these two angles is equal to 180°.
It is given that ∠EFG and ∠LMN are supplementary angles.
Therefore, ∠EFG +∠LMN = 180°
Given that: ∠EFG=(3x+17)º and ∠LMN=(12x−5)º
⇒ (3x+17)º + (12x−5)º =180°
⇒ (15x+12)° = 180°
⇒15x = 168°
⇒ x = 168°/15
x = 11.2°
Then, ∠EFG=(3× 11.2+17)º = 50.6°
Also, ∠LMN= (12×11.2−5)º = 129.4°