Answer:
Smallest angle = 40
Step-by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
Smallest angle = 40
Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of 
in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle
Answer:
(- 4, 1 )
Step-by-step explanation:
A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.
B = (- 5, 4 ), thus
B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )
Answer:
Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.
Least common multiple (LCM) of 19600 and 19619 is 384532400.
