Which statements are true about the ordered pair (−1, 5) and the system of equations? {x+y=4x−y=−6 select each correct answer. the ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true. the ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true. the ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false. the ordered pair (−1, 5) is a solution to the system because it makes both equations true.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Factor the polynomial by its greatest common monomial factor.

Astudent showed the steps below while solving the inequality |x-4|< 1 by graphing.