Solve 12|x|−7=8. Does anyone know how to do this?
1 answer:
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Step 1: show triangles ABM and BCN are congruent
- AB=BC (sides of square)
- BM=CN (half sides of square)
- angle B = angle C (adjacent sides of square are perpendicular)
=> triangles ABM and BCN are congruent (SAS)
Step: find angle AQB
- angle AQB = QMB+MBQ (exterior angles of a triangle)
= BNC+MBN (corresponding angles of congruent triangles)
= 90 degrees (exterior angle of triangle BNC)
- AB=BC (sides of square)
- BM=CN (half sides of square)
- angle B = angle C (adjacent sides of square are perpendicular)
=> triangles ABM and BCN are congruent (SAS)
Step: find angle AQB
- angle AQB = QMB+MBQ (exterior angles of a triangle)
= BNC+MBN (corresponding angles of congruent triangles)
= 90 degrees (exterior angle of triangle BNC)