Construction crews are building a highway between the towns of Washington and Jefferson. Currently the highway is 16.25 miles lo
1 answer:
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That's a Congruent Triangle question.
The first thing that we should to analize is it: What figure is EFGH? The question say for us that and
, therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).
Now, we should to proof that . The simbol "≅" means congruence, that is,
means that the triangles EFH and GHF are equals.
Let's proof:
is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore,
and
.
Both triangle has a comum side: the diagonal . The diagonal
is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that
.
Answer:
Step-by-step explanation:
Tiffany's distance is defined by the equation,
d = 2.5t
Here, d = distance of Tiffany from the starting line
t = time
a). d = 2.5t
Tiffany's rate = 2.5 yards per second
b). Since, slope of a line passing through two points and
is given by,
Slope =
Therefore, slope of the line passing through two points (0, 10) and (10, 35)
=
= 2.5 yards per second
Dion's walking rate = 2.5 yards per second
Equation that defines the distance of Dione,
d = mt + b
Here, m = rate of the walking by Dione
b = y-intercept
Hence, equation will be,
d = 2.5t + 10
c). If d = 60 yards
For Tiffany,
d = 2.5t
60 = 2.5t
t = 24 seconds
For Dion,
d = 2.5t + 10
60 = 2.5t + 10
2.5t = 50
t = 20 seconds
Therefore, Dion will take less time and finish first.