We want to solve the equation :
first, multiply both sides by 4:
divide both sides by 3:
add -3 to both sides:
Answer: x=9
Answer: Independent event
Step-by-step explanation:
When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.
For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. The probability of picking the cards is not affected by each other since it is put back.
Answer:
Degree: 3
Leading Coefficient: 12
Step-by-step explanation:
Find the highest power to determine the degree, in this case it's 3. Then identify the term with the highest power (12u^3) to find the leading coefficient.
So, because 3 is the largest and only power in this equation, it is the degree. 12u^3 is the leading term (term containing the highest degree) and 12 is the coefficient attatched to the term. Hope that helped!
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
