Given:
speed = distance / time
walking: 3 miles per hour
running 5 miles per hour
for a total of 3 hours.
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8
7/8 * 60 mins = 52.50 minutes
t = 1 hour and 52.5 minutes
It took Stu 1 hour and 52.5 minutes to hike the trail one way.
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
Answer:
Step 1. The answer is no.
Step 2. The answer is b.
Step-by-step explanation:
I think Step 2 already sort of explains the reasoning behind the answer for step 1.
Hope this helps!
Answer:
The answer is 'C'
Step-by-step explanation:
Congruent simply means "the same." When a line divides two parralel lines transversals are created. This means that there are angles on both lines that are similar. To fully understand which angles would be the same, I reccommend researching "transversals" for more information, or asking your teacher about it as it is hard to explain without a proper diagram.
Answer: 142°15'
Explanation:
Supplementary angles are angles that add up to make a straight angle (
).
Therefore, we must find the angle ∠B such that
∠A + ∠B = 180° (1)
We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:
∠B = 180° - ∠A = 180° - 37°45' = 142°15'
So, the correct answer is
142°15'
