Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
Answer:
(-4, -3), (4, -1), (8, 0), (12, 1)
Step-by-step explanation:
The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)
(x, y) = (-4, -3) . . . . from the first table entry
(x, y) = (4, -1) . . . . from the second table entry
(x, y) = (8, 0) . . . . from the third table entry
(x, y) = (12, 1) . . . . from the last table entry
Step-by-step explanation:
a) 2/5 × 5/7 = 10/35 ➡ 2/7 (if needed to simplify)
b) 16/25 × 2/4 = 32/100 ➡ 8/25
c) 15/6 ÷ 3/15 ➡ 15/6 × 15/3 = 25/2
d) 4/11 × 12/9 = 16/33
e) 3/5 × 7/12 = 7/20
f) 9/27 × 2/6 ➡ 9/27 × 6/2 = 3
Answer:
two million, three hundred eighty-nine thousand and nine
Step-by-step explanation: