The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
<h3>What is a Rhombus?</h3>
A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
<h3>What is the above proof?</h3>
- ∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.
- ∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.
- Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
- ≅ Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.
- ABCD is a Rhombus Reason = Its sides are all congruent.
Learn more about Rhombus at;
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For a, you could use the volume of a sphere divided by two to solve for a dome (like when you cut a sphere in half).
For b, you could use the volume of a rectangular prism divided by three when solving for a rectangular pyramid.
This is because the volume for a rectangular prism is V=lwh, and for a rectangular prism the volume is V= (1/3)lwh
Step-by-step explanation:
ln 16 - ln 8 = ln (16/8) = ln 2
When in doubt, graph it.
The 3rd and 4th choices are appropriate.
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This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.