4. SOLVE FOR X:
Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.
67 = 12x - 5
67 + 5 = 12x - 5 + 5
72/12 = 12x/12
6 = x
x = 6
SOLVE FOR Y:
Using the Vertical Angles theorem, we know that angle y must be congruent to the 67 degree angle.
y = 67 degrees.
5. SOLVE FOR Y:
Alternate exterior angles: 6(x - 12) = 120
6x - 72 + 72 = 120 + 72
6x/6 = 192/6
x = 32
SOLVE FOR Y:
6((32) - 12) + y = 180
192 - 72 + y = 180
120 + y - 120 = 180 - 120
y = 60
Answer:
supplementary angles add up to 180 degrees and complementary add up to 90 degrees
Step-by-step explanation:
Answer:
If you multiply 0.17 by 100 , you get 17 . Similarly, if you divide 17 by 100 , you get 0.17 . Thus, the fraction form for 0.17 is 17100 .
Step-by-step explanation:
Answer:
486²in
Step-by-step explanation:
9×9=81 (gives you one face of the cube)
81×6=486 (there are 6 faces on a cube)
Answer:
(8, - 2 )
Step-by-step explanation:
A translation of 4 units right means add 4 to the x- coordinate
A translation of 5 units up means add 5 to the y- coordinate
(x, y ) → (x + 4, y + 5 ) ← translation rule, then
(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )
