Answer:
answer is 57.
Step-by-step explanation:
Given
m<6= x - 8
m<7 = 2x - 7
We know
<6 + <7 = 180° [ being linear pair ]
x - 8 + 2x - 7 = 180°
3x - 15 = 180°
3x = 180° + 15°
3x = 195°
x = 195° / 3
x = 65°
Now
m<6= x - 8 = 65° - 8° = 57°
hope it helps :)
Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
To change a percent to a fraction, you remove the percent sign and put the given number over 100. For example, if you are given 78%, it would be 78/100 or 39/50
Answer:
A. People who are related to the employees of Isaac's Immaculate Ice Cream
Step-by-step explanation:
If the results are called into question, this means there is potential bias in the survey.
Randomly choosing people from a phone book or another random method would not create bias.
Having people blindly test brands of ice cream would not create bias, as it is random and fair.
However, if the people surveyed were related to employees of Isaac's Immaculate Ice Cream, the results could be called into question over a fear of favoritism.