Are the triangles congruent?? Justify the answer

the triangles are congruent

Step-by-step explanation:

method 1: Angle-Angle-Angle congruency test

angle BAC = angle DEC(given)

angle ABC = angle EDC

angle BCA = angle DCE

method 2: Side Angle Side Congruency test

BC = DC (both are 4 cm)

angle BCA = angle DCE (vertically opp. angles, straight lines intersect)

AC = EC (both are 6 cm)

side note:

1. when testing for congruency and giving the different congruency test, always ensure that the sides or angles mentioned are in corresponding order of the congruent triangles.

2. see that from the explanation given i do not anyhow mix up the sides with any sides or mess up points with any points(will show drawing of an example of what i mean)

pls dont mind the ugly handwriting as well since i dont have a stylus

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

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.