Mason:
time = t
V = 6 ft/s
Distance = v * t = 6t
Nora:
time = t - 60 [ I passed 1 minute to seconds]
V = 8 ft/s
Dsitance = v*t = 8 (t - 60)
Both distance are equal
6t = 8(t-60)
6t = 8t - 480
8t -6t = 480
2t = 480
t = 480/2
t = 240 s
Mason had been swimming for 240 seconds when both had swan the same distance.
- Hypotenuse=H=9ft
- Base=B=2ft
Apply Pythagorean theorem
- P²=H²-B²
- P²=9²-2²
- P²=81-4
- P²=77
- P=√77
Option D
Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the
and the
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
For example:
(4/9) x=8
Now can solve this equation multiplying each side by 9/4.
(9/4)(4/9)x=(9/4)8
x=18
To check:
(4/9)(18)=(4*18)/9=72/9=8