Answer: The required distance between the top and bottom of the bridge is 76 feet.
Step-by-step explanation: Given that a new bridge structure requires triangles that are in a ratio of 1:1.
AC = 2x + 10 and EC = 4x − 18.
We are to find the distance between the top and bottom of the bridge, in feet.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
The sides AC and EC are corresponding to each other, so we must have
Therefore, the distance between the top and bottom of the bridge is
Thus, the required distance between the top and bottom of the bridge is 76 feet.
Answer:
5
Step-by-step explanation:
5x5 = 25
25-20 = 5
Answer:
(2/3, 13/3) (Exactly one solution)
Step-by-step explanation:
Write these equations in a column:
x+y=5
2x-y=-3
Note that we can eliminate y immediately by adding these two equations together. We get:
3x = 2, so that x = 2/3.
Substituting 2/3 for x in the first equation, we get:
2/3 + y = 5. Clear out fractions by multiplying all three terms by 3:
2 + 3y = 15, or 3y = 13. Then y = 13/3, and the solution is
(2/3, 13/3) There is exactly one solution.
Answer:
Step-by-step explanation:
Area of the figure
I think it is 10 feet. I used the Pythagorean Theorem. a2+b2=c2 6^2 + 8^2 = c^2. 36+64= c^2. 100 = c ^2. 10 = c.
