3 years ago

12

1 answer:

3 0

Triangles ABC and DEF may or may not be congruent, because the angle-angle-angle (AAA) postulate is not a criterion for congruency of any two triangles. This is because the angle-angle-angle postulate only incorporates the angles of the triangles, and the side lengths are not specified, so congruency may or may not be true for these triangles.

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What number must you add to complete the square? x^2+10x=15

weqwewe [10]

Answer:

$(x+5)^2=40$

Step-by-step explanation:

The number to be added is the square of half of the linear term coefficient. Such coefficient in our case is "10" (the number accompanying the variable x). Then, half of it is 10/2 = 5, and that number squared gives 25.

Therefore, the number to add on bothsides of the equality is 25, which leads to the following:

$x^2+10x+25=15+25\\x^2+10x+25=40\\x^2+5x+5x+25=40\\x(x+5)+5(x+5)=40\\\\(x+5)^2=40$