Column A 1. ∠8 and ∠6: ∠8 and ∠6 2. ∠7 and ∠5: ∠7 and ∠5 3. ∠2 and ∠3: ∠2 and ∠3 4. ∠3 and ∠4: ∠3 and ∠4 5. ∠2 and ∠6: ∠2 and ∠6 Column B a. Same Side Interior Angles b. Same Side Exterior Angles c. Vertical Angles d. Corresponding Angles e. Alternate Exterior Angles f. Linear Pair g. Alternate Interior Angle

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Atriangular field has sides of lengths 21, 39, and 41 yd. find the largest angle. (round your answer to the nearest degree.)