Here is the equation: x+(x+20) = 120
Since you can't combine anything yet, its x+x+20=120
You need to get x by itself
Minus 20 from both sides
Its x+x=100 now
Combine the x's which is now 2x
Now divide 100 by 2 which is 50
x=50
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Lets check:
50+(50+20)=120
Now combine the numbers in the parentheses
Its now 50+70=120
50+70=120 and 70-50=20
As you can see, he ran 50 minutes the first day and 70 minutes the second day
Answer:
Minimum of 6 squares.
Step-by-step explanation:
The dimension of the rectangular carton = 6 by 4 inches.
The area of the carton = length x width
= 6 x 4
= 24 square inches
Assume that we have a square of side length 2 inches, then;
area of the square = length x length
= 2 x 2
= 4 square inches
So that since all materials is to be used,
the minimum number of squares that it can produce = 
= 6
Answer:
A. P' = (9, -2)
B. P" = (1, -4)
Step-by-step explanation:
To make it easier to understand, make point C the origin (0 , 0). From that, you will notice point P is 3 units right and 5 units up of point C, meaning the coordinates of point P is (3, 5). A 90° rotation clockwise on point P (3, 5) is (5, -3). Since point C is 4 units right and 1 unit up from the actual origin, we will add that to (5,-3); (5 + 4, -3 + 1) = (9, -2). Therefore, P' = (9, -2).
Knowing the coordinates of P' allows us to figure out the coordinates of P''. Once again, we'll make point C the origin, meaning P' would be at (5, -3). Like we did before, we will perform a 90° rotation clockwise of (5, -3) to get (-3, -5). Lastly, add back the appropriate amount of units to (-3, -5) to make point C the center of rotation in this example; (-3 + 4, -5 + 1) = (1, -4). Therefore, P" = (1, -4).
Please note that this is only my method of solving translations. Please consult more official sources if you want to learn more. Other than that, I hope this helps!
In any triangle, the longest side is always opposite to the largest angle.
In this case, the longest the side is the side opposed to 80°
Answer: "If there are not seven days in a week, then Halloween is not on October 31st.", and it is false because the inverse of a true conditional statement is false. Hope this helps and have a great day!
