Answer:
A) 33 3/4°
Step-by-step explanation:
The supplement of an angle is the difference between 180° and the angle measure:
supplement of 146 1/4° = 180° -(146 1/4)°
= (180° -146°) -1/4° = 34° -1/4°
= 33 3/4° . . . . supplement of the given angle
Answer:
x = 162 cards need to be dealt with
Step-by-step explanation:
Given:
- Estimation of likelyhood of next card to be queen, a king, or an ace:
( 64 - 0.2*x ) / ( 208 - x )
Find:
For what values of x is this likelihood greater than 70%?
Solution:
- Use the likely-hood estimation relation and set up the inequality as follows:
( 64 - 0.2*x ) / ( 208 - x ) > 0.7
( 64 - 0.2*x ) > 0.7*( 208 - x )
64 - 0.2*x > 145.6 - 0.7*x
0.5*x > 81.6
x > 163.2
- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%
First one costs $720, second costs $700 so the second one the<span> 1,000 dollar computer discounted to 30%</span>
Answer:
m<A=94
Step-by-step explanation:
(2x+10)+(2x+2)=180
4x+12=180
-12 -12
4x=168
/4 /4
x=42
m<A= 2x+10
m<A=2(42)+10
m<A=84+10
m<A=94
Check:
Add m<A and m<B which should equal 180.
m<B=2x+2
m<B=2(42)+2
m<B=84+2
m<B=86
94+86=180
