Mis the midpoint of yz. if ym = x + 3, and yz = 3x -1, find mz

MZ =2x - 4

Step-by-step explanation:

YM = x +3

YZ = 3x -1

YZ =YM +MZ

3x - 1  =  x +3 +MZ

MZ = 3x -1  - [x+3]

MZ =  3x -1 -x -3

MZ = 2x -4

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)