Answer:
sqrt(13) =x
Step-by-step explanation:
We have 2 right triangles, one on the right and one on the left
The base is 1/2 of 4 or 2 and the height is 3
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2
2^2 + 3^2 = x^2
4+9 = x^2
13 = x^2
Take the square root of each side
sqrt(13) =x
Answer:
There are 22 or 33 students
Step-by-step explanation:
Answer:
21) x = 0
23) x = 7
Step-by-step explanation:
In a parallelogram, the opposite sides are congruent. Using this fact, we can create equations for both problems.
21)
Subtract 18.
Divide by 2.
23)
Add 3.
Divide by 2.
If the shape is the same, but the size is different, <em>dilation is involved</em>. There may be other transformations that are also involved (such as rotation, translation, or reflection), so MNPQ may or may not be a straight dilation of M'N'P'Q'.
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Translation and dilation can sometimes be combined to a dilation about a point that is not the origin. Reflection might be accommodated by using a negative dilation factor. However, rotation cannot be accomplished using dilation alone.
