Two students in mr d'alsesandro's class were asked to write an equivalent expression for the expression (a-6) (a-4). identify the student with the correct work and where the mistakes were in the other students work

gabrielles work

(a-6) (a-4)

= a. a = a(-4) - 6(a) - 6(-4)

= a ^2 - 4a - 6a - 24
= a^2 - 10a - 24

britneys work

(a-6) (a-4)
= a. a - 4a -6a -6(-4)
= a ^2 -10 a
+24

Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population standard deviation is 3. be sure to show that you know the formula and how to plug into it. also, clearly state the margin of error.

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.