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Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
- x/4 = y/2 ⇒ x = 2y
You have other equation:
- x+ y = 18
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
- x = 2(6) = 12
Then, she should aim 6 feet down the wall.
ANSWER
EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,
and
are alternating angles.
Alternate angles are congruent.
This implies that,
We group like terms to obtain,
This simplifies to,
Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,
We group like terms to get,
This simplifies to,
We divide both side by 4 to get,
EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,
and
are alternating angles.
Alternate angles are congruent.
This implies that,
We group like terms to obtain,
This simplifies to,
Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,
We group like terms to get,
This simplifies to,
We divide both side by 4 to get,