Would #1 be sss considering they’re asking you to find the hypotenuse? if so would you use pythagorean theorem to prove sss? if not can someone just me.

nope, we dunno if AB ≅ AC, so we can't quite use SSS for a congruence test.

however, we can do congruence by the smaller triangles of ADB and ADC, we know, since it's given, that BD ≅ CD and since the side AD is the same on both triangles, then we can say that the right-triangles of ADB and ADC have congruent legs where BD ≅ CD and AD ≅ AD, thus by the LL theorem for right-triangles, both triangles are congruent, and thus AB ≅ AC.

LL = Leg Leg, if two legs in two right-triangles are congruent, the triangles are congruent.

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