Answer:
As law of sin:
CD/sinE = DE/sinC
Then
12/sin83 = 5/sinC
Then
sinC = 5*sin83/12 = 0.413
Then
C = arcsin(0.413) = ~24.4 deg
Then
D = 180-C-E = 180-83-24.4 = ~72.6
Hope this help, bro!
Answer:
(0, -3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- [Subtraction Property of Equality] Subtract 18 on both sides: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
$291-$210=$81
$81/0.15= 540 miles
I believe the answer is 540 mi.
Answer:
Step-by-step explanation:
The first 9 stands for 90,000 and the second for 9 000 so the first 9 is worth
90,000 / 9,000 equals 10 times the second one.