Match the reasons with the statements given. given: a = b m is midpoint of prove: amc bmc 1. ∠a = ∠b, m is midpoint of ab given 2. am = mb sides opposite = ∠s are = 3. ac = bc sas 4. triangle amc congruent to triangle bmc definition of midpoint

Answer with Step-by-step explanation:

We are given that

M is the mid point of AB

We have to match the reasons with statements given in proof.

Proof:

1.Statement:, M is the midpoint of AB

Reason: Given

2.Statement:

Reason: Definition of midpoint

3.Statement:

Reason:Opposite sides of equal angle are equal.

4.Statement:

Reason:SAS Postulate

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204