How do I do Question 9?
2 answers:
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Answer:
The triangles Δ VWZ and Δ VXY are similar by AA criteria.
Step-by-step explanation:
See the attached diagram.
Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.
Therefore,
So, line WZ divides the lines VY and VX in the same ratio 2 : 1.
So, Line WZ ║ Line XY
Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}
Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}
Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)
For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:
Where:
p: It is the perimeter of the base
S: It's the inclination
It is the area of the base
Substituting:
ANswer:
Option B
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate .
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function is
. (This is the aptly-named "power rule" for differentiation.)
Answer:
Add the two angles: 43° + 47° = 90°.
Step-by-step explanation:
A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
