Answer:
Yes, the transformation is a 270° clockwise rotation
Step-by-step explanation:
(-3, 4) ,( -4, 7) and (-2,7) transformed to (-4, - 3), (-7, -4) and (-7, -2).
Rule for 270° clockwise rotation:
(x, y) --> (- y, x)
A transformation that doesn't change the size or shape of an object.
So answer is:
Yes, the transformation is a 270° clockwise rotation
Answer:
24/45 - 45/51
Step-by-step explanation:
Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.
Answer:
Step-by-step explanation:
Answer: 12.5
Step-by-step explanation: The triangle ABC and its altitude is represented in the figure below.
<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of , now we have two similar triangles, which means that ratios of corresponding sides are equal:
(1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
(2)
Substituting (2) into (1):
We want to find f, so:
f = 7.5
The length of is
The length of the hypotenuse of triangle ABC is 12.5 units.