1. RM = SN, TM = TN Addition Property of Equality
2. ∠T = ∠T Reflexive
3. RM + TM = SN + TN Substitution
4. RM + TM = RT, SN + TN = ST Betweeness
5. RT = ST CPCTE
6. Triangle RTN congruent to Triangle STM Given
7. RN = SM SAS
Answer:
The quick ratio is 4.75:1.
Step-by-step explanation:
From the given information it is clear that:
Cash = $340,000
Inventory = $280,000
Accounts receivable = $40,000
Accounts payable = $65000
Other current liabilities = $15000
Formula for quick ratio:

Substitute Cash = 340000, Current receivables=40000, Current Liabilities= (65000+15000).


Therefore the quick ratio is 4.75:1.
First month she payed 1451 dollars
Second month she payed 1/3 of that, which is:
1451/3 = 483.66
Third month she payed 1/3 of 483.66 because as text says, every next month she pays 1/3 of previous month payed amount.
483.66/3 = 161.22
Forth month she payed
161.22/3 = 53.74
In total she payed:
$2149.62 - B.
hope this helps :)
Answer:
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Step-by-step explanation:
The average blood alcohol concentration (bac) is modeled by the following function.

In which t is measured in minuted.
How rapidly was the BAC increasing after 5 minutes?
This is c'(t) when t = 5.
Using the derivative of the product.
Derivative of the product:


In which problem:


So


After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Answer:
BC = 26
Step-by-step explanation:
Given that:
B is the midpoint of AC
Then AC = AB + BC
AC = 8x - 20 and AB = 3x - 1
Then,
8x - 20 = (3x - 1) + BC
8x - 20 - (3x - 1) = BC
8x - 20 - 3x + 1 = BC
5x - 19 = BC
But AB = BC
5x - 19 = 3x - 1
5x - 3x = - 1 + 19
2x = 18
x = 9
Hence,
Since BC = AB = 3x - 1
3(9) - 1
27 - 1
= 26