How do you simplify 10(4n+6)-2n?

1 answer:

ki77a [65]4 years ago

6 0

10 (4n + 6) - 2n Use the Distributive Property
40n + 60 - 2n Combine like terms (40n - 2n)
38n + 60

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tamaranim1 [39]

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.
$\overline {DC}$ ≅ $\overline {BC}$ 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.