TIMED What is the value of x and y??
1 answer:
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Answer:
The correct option is 3.
Step-by-step explanation:
The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'
From the given figure it is noticed that triangle ABC and triangle EDC. In triangle ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.
To use HL hypotenuse and one leg of triangles must be equal.
(hypotenuse)
(leg)
(leg)
Therefore the additional information will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.
Answer:
Giovanni was 0.5 miles from the finish line
Step-by-step explanation:
This is a problem of movement with constant velocity.
For this kind of problems, generally it is enough to remember the definition of average velocity v:
Where x is the change in position that took place in an interval t.
First, find the time that Jean, who cycled at 24 miles per hour, spent on the race:
Isolating t from the last equation,
, and replacing the data for Jean movement:
Second, find what was the distance that Giovanni had cycled when Jean crossed the line:
When Jean crossed the line he had cycled 120 miles, and Giovanni 119.5; so Giovanni was 0.5 miles from the finish line.