ABCD is a parallelogram Given
AE=CE, BE=DE <span>The diagonals of a parallelogram are bisect each other
</span>∠AEB=∠CED Vertical angles are congruent
ΔABE is congruent to ΔCDE SAS theorem<span>
</span>
Answer:
35$
Step-by-step explanation:
Set up a proportion
5hr=25
7hr=x
Cross multiply
5x=175
divide both sides by 5
x=35$
Step-by-step explanation:
We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:
B = speed of the boat in still water
C = speed of the current
Since we have two variables, we will need to find a system of two equations to solve.
How do we find the two equations we need?
Rate problems are based on the relationship Distance = (Rate)(Time).
Fill in the chart with your data (chart attached)
The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!
We know, widest angle is always opposite to the largest side of the triangle, as largest side is 50 here (which is backward to house) so largest angle would be opposite to it. So, that corner will be touched by Fence A & B
"Proportionality Theorem" compares the sides of the same triangle
Here, According to that theorem,
ST / RS = UT / PU
If FG is an altitude, then <DFG is an right triangle.
In short, Your Answer would be Option B
For last question here, remember, longest side must be greater than either side, and must be smaller than sum of those smaller sides.
Answer: Y= 2x
Step-by-step explanation:
1 x 2 = 2
3.4 x 2 = 6.8
5 x 2 = 10
7 x 2 = 14
So. Y = 2x