Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:
Substituting the given expression for each segment in the first equation, we get:
Solving the above equation for x, we get:
Substituting x=10 in the equation for segment EI, we get:
Therefore:
Now, to determine the measure of angle IEH, we notice that:
therefore,
Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:
<h2>Answer: </h2>
Answer:
Step-by-step explanation:
<h3>Given</h3>
- h(x) = (f ο g)(x)
- h(x) =
- f(x) =
<h3>To find</h3>
<h3>Solution</h3>
<u>We know that:</u>
<u>Substitute x with g(x) and solve for g(x):</u>
- =
- x + 5 = g(x) + 2
- x + 3 = g(x)
- g(x) = x + 3
<span>The probability of missing the first shot is 40%.
When she misses the first shot, the probability of missing the second shot is very, very low, only 5%.
That means that the probability of missing both shots must be much smaller than the probability of missing the first shot.
40/100 * 5/100
0.4 * 0.05
= 0.02
= 2%</span>