The answer would be 1/12 you get one chance out of the 12 cards in a suite
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Answer:
angle B is 38°
Step-by-step explanation:
all angles in a triangle has to equal 180°.
So first find the measurement of angle BAD. This is done by subtracting angle of CAD=46° from the total angle CAB=78° to get 32° for angle BAD. So if angle ADB is 110° and angle BAD is 32° which equals (110+32=) 142.
Then take 180 - 142 = 38°
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
The common factors between the two numbers are 1, 3, 5, 15.
Hope this helps!
