What is the volume of the pyramid in the diagram?
1 answer:
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Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }
Cross multiply
EF * 15 = 27 * 7.5
EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles
AC = 37.5 cm
Answer and Step-by-step explanation:
The answer is the last answer choice.
g(x) =
We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.
The equation for a transformed function is:
f(x) =
a determines the scale of the graph and whether the graph opens up or down.
h determines whether the graph shifts left or right.
k determines whether the graph shifts up or down.
We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.
k is a positive 1, so the graph will be shifted up 1 unit.
<u>Thus, the answer is the last answer choice.</u>
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