Noah wants to buy a 5-year annuity. He has two options. which one should he use?

The vertex of the graph for the function g(x) = (x- 3)^2 + 9 is located 3 units to the right and 9 units upwards compared to the vertex of the function f(x) = x^2.

You can easily calculate the result for each segment and then sum them to determine the perimeter of triangle MNK.

Answer: C) HF measures 4 units and GH is 2 units.

Step-by-step explanation:

The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.

For triangles ΔDFE and ΔGFH:

DG equals 15, GF is 5, EH equals 12, and DE is 8.

To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.

Detailed analysis:

The scenario mentions that a mouse covered a total of 3/24 miles over a span of 3 hours. The mouse traveled an identical distance during each hour. To find out how far the mouse went in one hour, we need to divide 3/24 miles by 3. Thus,

Matt's calculation indicates that the outcome is 3/8 hours. When he divides 3/24 by 3, he should take the reciprocal of 3, but he doesn't, resulting in 9 as the numerator and 24 as the denominator. The fraction 9/24 simplifies to 3/8. However, the accurate answer should have been 1/24 hours.