-3 1/3 * -8 7/10 =
- 10/3 * -87/10 =
870/30 = 29 <==
Answer:
60 inches
Step-by-step explanation:
the least common multiple of 12 and 10 is 60
you can use the prime factorization tree or a list method
1st multiple of 10: 10 1st multiple of 12: 12
1st multiple of 10: 20 1st multiple of 12: 24
1st multiple of 10: 30 1st multiple of 12: 36
1st multiple of 10: 40 1st multiple of 12: 48
1st multiple of 10: 50 1st multiple of 12: 60
1st multiple of 10: 60
You can stop when a common multiple is reached
the domain of f(x)=9-x^2 is (-∞,∞), {x|x ∈r}
Answer:
The company should spend 20,000 dollars on advertising in order to avoid losing money.
Step-by-step explanation:
You know that the relationship between dollars spent on advertising X, and earnings P, for a particular company is:
P= 1.5* X -30,000
You want to know how much money the company should spend on advertising so that the company doesn't lose money. That is, the company has no losses but no profits. So this means that P must have a value of 0.
So, replacing:
0= 1.5*X - 30,000
Solving:
30,000= 1.5*X
30,000÷ 1.5= X
20,000= X
<u><em>
The company should spend 20,000 dollars on advertising in order to avoid losing money.</em></u>
Answer:
Therefore, the correct explanation is;
C. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since 
║ 
, ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 4 and MN = 8
Step-by-step explanation:
The given parameters are;
= 5
= 10
= x - 3
= x + 1
A two column proof is presented as follows;
Statement 
Reason
∠L ≅ ∠L By Reflexive property of congruency
║ Given
∠LOP ≅ ∠LMN By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
/ = / = 5/10 = 1/2
∴ (x - 3)/(x + 1) = 1/2
2·(x - 3) = 1·(x + 1)
2·x - 6 = x + 1
2·x - x = 1 + 6 = 7
x = 7
= (x - 3) = 7 - 3 = 4
= 4
= x + 1 = 7 + 1 = 8
= 8
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 4 and MN = 8.
