Answer:
The answer is

Why? Below I explain
Step-by-step explanation:
That formula has three variables a, b and c.
So, a = 2, b = 3 and c = -1
Because the formula is written like

To find compound probability, multiply the probability of the first and second events. In this case, if you wanted to draw the green first and then the blue, 10/24 or 5/8 times 6/23 equals 30/184 which reduces to 15/92.
The answer would be B. -4
Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
Answer:
Part A. C=9
Part B. (w+3)² =139
Part C. w = 8.8 inch
Step-by-step explanation:
Given from the question length of the the picture = (2w+12) inches
Width of the picture = w inches
Area of the picture = 260 inch²
Part A. Area of the picture with the given dimensions= w×(2w+12)
Or w(2w+12) = 260
2w²+12w = 260
2(w²+6w) = 2×(130)
w²+6w = 130
Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c
Therefore for c = 9 we will get a perfect square trinomial.
Part B. As we have seen the equation in part A.
As required equation will be (w+3)²=139
Part C. Since (w+3)² = 139
Then by taking under root on both the sides of the equation
(w+3) =√139 = 11.8
(w+3)-3=11.8-3
w = 8.8 inch