Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
This problem, as written, requires a bit of guessing regarding your intentions. My interpretation is that you want to do this division:
2
----------
1 6/7
If that's correct, here's what to do: rewrite 1 6/7 as 13/7 (an improper fraction).
Then divide:
2
-------- This is equivalent to the multiplication (2/1)(7/13) = 14/13 (answer)
13/7
Answer:
Paul has negative worth of $2,900
His statement is invalid as he did not consider all assets and debts in aggregate.
Step-by-step explanation:
The net worth of Paul is the total asset owned by him less the total of debts owed by him.
Paul's total assets can computed thus:
Stock portfolio $21,000
Home worth $365,000
Car worth $19,000
Total assets $405,000
Paul's total debts can be computed as follows:
Mortgage loan $362,000
Car loan $16,250
credit card debt $11,750
Student loan $17,900
Total debts $407,900
The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.
Answer:
B. BD = 9
Step-by-step explanation:
Simply set the 2 equations equal to each other (both are congruent due to perpendicular bisector):
6x + 3 = 3x = 6
3x + 3 = 6
3x = 3
x = 1
Then substitute 1 for <em>x</em> in BD
6(1) + 3
6 + 3
BD = 9
