In the figure, , and both lines are intersected by transversal t. Complete the statements to prove that ∠2 and ∠8 are supplementary angles. (given)

m∠2 = m∠7 (
)

m∠7 + m∠8 = 180° (
)

m∠2 + m∠8 = 180° (Substitution Property)

∠2 and ∠8 are supplementary (definition of supplementary angles)

Radii ok and nl are perpendicular to om because of the radius-tangent theorem. by definition of perpendicular, angles kom and lnm are right angles. this means that triangles kom and lnm are right triangles. angle lmn is common to both right triangles, so by the triangles kom and lnm are similar.

What point is the projection of q on a) r b) s c) t

Use matrices to solve this linear system: 5x1 − 2x2 = −30 2x1 − x2 = −13 x1 = x2 =