Note that rotation will not affect the shape and size of an object.
Rotation with respect to a point preserves the corresponding sides and the corresponding angles of the original image.
Hence, the statements
The corresponding angle measurements in each triangle between the pre-image and the image are preserved and
The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved
are true.
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan²x = sec²x - 1
Consider left side
sec²x + tan²x
= sec²x + sec²x - 1
= 2sec²x - 1
= right side , thus verified
Answer:
0.3 or 30%
Step-by-step explanation:
Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :
The probability is 0.3 or 30%.
Since the only places where an x-ordinate exist are the closed circles, the domain will simply be:
D: { -5, -4, -3, 1, 2, 5 }
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100 .
The factors of 65 are 1, 5, 13, and 65 .
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70 .
