Vertical angles equal each other and adjacent supplimentary angles =180
-3x-y+179=2x+y+134
-3x-y+179+6x-3y=180
simplify -3x-y+179+6x-3y=180
3x-4y+179=180
-179 both sides
3x-4y=1
+4y both sides
3x=4y+1
÷3 both sides
x=4/3y+1/3
plug in x into -3x-y+179=2x+y+134
-3 (4/3y+1/3)-y+179=2 (4/3y+1/3)+y+134
simplify
-4y-1-y+179=8/3y+2/3+y+134
-5y+178=11/3y+404/3
-11/3y both sides
-26/3y+178=404/3
-178 both sides
-26/3y= -130/3
x-3/26 both sides
y= 5
solve for X
-3x-y+179=2x+y+134
-3x-(5)+179=2x+(5)+134
-3x-5+179=2x+5+134
-3x+174=2x+139
-2x both sides
-5x+174=139
-174 both sides
-5x= -35
÷-5 both sides
x=7
-3x-y+179
2x+y+134
6x-3y
-3 (7)-5+179
2 (7)+5+134
6 (7)-3 (5)
-21-5+179
14+5+134
42-15
-26+179
19+134
27
153
153
27
a)x=7
b)y=5
c)-3x-y+179=153
d)6x-3y=27
e)2x+y+134=153
Answer:
Either 43 or 44, depemding on if you round up.
36 rainy days out of 48 days (a lot of rain dude)
Fraction: 36 rainy days out of 48 days: 36/48. Simplified: 3/4.
Decimal: Divide 3/4: 3/4 = 0.75.
Percent: Multiply by 100 (move decimal two places to the right): 75%
Answer:
For all real numbers a except 0, we have
a(1/a) = 1
Step-by-step explanation:
Multiplication of real numbers are having the following properties:
i) commutative = ab = ba
ii) associative a(b+c) =ab+ac
iii) Multiplicative identity element exists such that for any number
a*1 =1*a = a
i.e. 1 is identity.
Inverse property is for any a not equal to 0, we have a real number such that
a*that real number = multiplicative identity
i,.e. a(a real number) = 1, a not equal to 0
In other words, there exists an 1/a for all a not equal to 0 satisfying a*1/a = 1
Cot (- 210º) = - √3 so <span>30° </span>