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Answer: 1.) m∠LAB = 40° 2.) m∠3= 123° 3.) x=25 4.) y = 29
5.) p is (-4, -3) 6.) B is (3,8)
Step-by-step explanation:
1.) 80/2 =40
2.) 180 -57 = 123
3.) 2x + 10 + 4x +2 =180 Combine like terms, solve for x = 150/6 =25
4.) 5y -25 +2y +2 =180 7y -23 =180 y= 203/7 y= 29
5.) Parallel lines divide a hypotenuse in proportion to the proportions on the legs -6 -(-2) =8 8/4 = 2 Add 4 to -6 on horizontal. x= -2
6- (-6) =12 12/4= 3 Add 3 to -6 on the vertical y = -3
6.) Same assumption as 5 but add the differences to extend the line.
Horizontal: -5-(-1) =4 -1 + 4 = 3 is x Vertical 6-4=2 2+6=8 y is 8