9514 1404 393
Answer:
C. triangle MPO is congruent to triangle MNO by SAS
Step-by-step explanation:
Enough information is given in the diagram so that we know ...
ΔMNO ≅ ΔOPM
by either the SSS or SAS congruence postulates.
What makes statement C false is the fact that the vertices listed are not corresponding vertices.
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<em>Additional comment</em>
The wording here is of the form <em><angle 1> is congruent to <angle 2> by <some triangle congruence postulate></em>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.
The answer is A
Explanation
4+4 =8
8-1=7
hopfully it helps
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
