The two equations are:
x = 5y - 18 (vertically opposite angles are equal)
x + y = 180 (Alternate angles , adjacent angles on a straight line)
x = 5y - 18 ---------------- (1)
x + y = 180 ---------------- (2)
From (2):
x + y = 180
y = 180 - x ---------------- Sub into (1)
x = 5(180 - x) - 18
x = 900 - 5x - 18
6x = 882
x = 147 ---------------- Sub into (2)
x = 147
y = 180 - 147 = 33
Answer: x = 147, y = 33
The common factor of 18 and 42 is six
The answer is x=16
complimentary means that when the measures of both angles are added together they equal 90 degrees. To get the answer you subtract 48 from 90 and get 42. Then you subtract 10 from 42 because it is added in the parentheses. Then you divide 32 by 2 and you get your answer which is 16.
False
b could be the logarithm of a rational number to the base a. For example,
will be irrational, but π^b = 4, a rational number
Answer:
(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal
Step-by-step explanation:
Simplify the following:
(12 + 2/3)/(2 + 1/3)
Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:
(12 + 2/3)/((3×2)/3 + 1/3)
3×2 = 6:
(12 + 2/3)/(6/3 + 1/3)
6/3 + 1/3 = (6 + 1)/3:
(12 + 2/3)/((6 + 1)/3)
6 + 1 = 7:
(12 + 2/3)/(7/3)
Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:
((3×12)/3 + 2/3)/(7/3)
3×12 = 36:
(36/3 + 2/3)/(7/3)
36/3 + 2/3 = (36 + 2)/3:
((36 + 2)/3)/(7/3)
36 + 2 = 38:
(38/3)/(7/3)
Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:
(38×3)/(3×7)
(38×3)/(3×7) = 3/3×38/7 = 38/7:
Answer: 38/7
