Answer:
5/4
Step-by-step explanation:
(10/12) / (4/6)
Reduce the fractions:
(5/6) / (2/3)
Multiply by the reciprocal:
(5/6) × (3/2)
15/12
Reduce:
5/4
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
Answer:
t = 0.53 hr
Step-by-step explanation:
We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:
(3.5 mph)(t) + (4mph)(t) = 4 mi
Combining these terms:
(7.5 mph)(t) = 4 mi
4 mi
Solving for t: t = ---------------- = 0.53 hr
7.5 mph
For these lines, let
.
And for these, let
.
Now,
The vertices of
in the x-y plane are (0, 2), (2/3, 10/3), (2, 2), and (4/3, 2/3). Applying
to each of these yields, respectively, (2, 2), (2, 4), (-2, 4), and (-2, 2), which are the vertices of a rectangle whose sides are parallel to the u-v plane.
