Step-by-step explanation:
=> x + 80 + 20 = 180
=> x + 100 = 180
=> x = 180 - 100
=> x = 80°
Step-by-step explanation:
Consider the provided information.
For the condition statement
or equivalent "If p then q"
The rule for Contrapositive is: Negative both statements and interchange them. 
Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.
Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".
It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".
Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.
Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.
Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"
The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.
Remember negative means opposite.
Contrapositive: If xy < 0 then x<0 and y<0.
10 × 2 tens = 20 tens = 200
16 - 5(3t - 4) = 8(-2t + 11) <em>use distributive property</em>: <em>a(b + c) = ab + ac</em>
16 - (5)(3t) - (5)(-4) = (8)(-2t) + (8)(11)
16 - 15t + 20 = -16t + 88
36 - 15t = -16t + 88 <em>subtract 36 from both sides</em>
-15t = -16t + 52 <em>add 16t to both sides</em>
t = 52
9514 1404 393
Answer:
1000
Step-by-step explanation:
The pattern is the sequence of cubes. The 10th cube is ...
10³ = 10·10·10 = 1000 . . . . 10th term of the pattern
_____
<em>Additional comment</em>
It is helpful to memorize the squares of integers 1-20 and the cubes of integers 1-10. Being able to recognize these numbers can save you a lot of time on problems like this.