Answer:

Step-by-step explanation:
we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal and the corresponding angles are also equal
In this problem

we have

Find the value of TS

substitute




see the attached figure to better understand the problem
Answer:
(d) 428,820,000 pounds of garbage
Step-by-step explanation:
Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.
(1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb
≈ 428.82×10^6 lb
= 428,820,000 lb . . . of garbage
Answer: B. g(x) = |x| - 5
Step-by-step explanation: To translate an absolute value graph (|x|) you have to subtract 5 from the absolute value from the equation |x| but not from the value x. For example, if you did g(x) = |x - 5| then you would get a graph that is moved 5 spaces to the right. This is not what we want. Likewise if we did g(x) = |x + 5| then we would get a graph moved 5 spaces to the left. This is not what we want either.
To get a translated graph that moves down the y-axis (vertical axis), we have to subtract the equation |x| 5 units. This then moves it down 5 units to the y axis from the center.
F(x) = x^2 + 24x + 138
f(x) = x^2 + 24x + (24/2)^2 + 138 - (24/2)^2
f(x) = (x+12)^2 - 6