The answer: " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation:
______________________________________
40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 .
______________________________
Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ;
__________________________________
x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
y + 68 - 68 = 140 = 68 ;
y = 72 .
______________________________________________
So, solve for "x" and "y".
x = 68, y = 72 .
_______________________________________________
Time zones<span> and </span>time<span> offsets. A </span>time zone<span> is a geographical region in which residents observe the same standard </span>time<span>. A </span>time<span> offset is an amount of </span>time<span> subtracted from or added to Coordinated Universal </span>Time<span> (UTC) </span>time<span> to get the current civil </span>time<span>, whether it is standard </span>time<span> or daylight saving </span>time<span> (DST)
I hope my answer has come to your help. God bless you and have a nice day ahead!
</span>
Answer:
The scale is not reasonable.
Step-by-step explanation:
The painting is 48 inches by 120 inches
The scale is 1 inch = 4 inches
Divide the painting size by 4
48/4 = 12 inches
120/4 = 30 inches
We would need paper that is
12 inches by 30 inches
Our paper is 12 inches by 24 inches
It is too small. The scale is not reasonable
Answer:
3 times more.
Step-by-step explanation:
The odds of landing a dart in any of the circles correspond to the surface area of the circle.
Calculate the surface area of both circles:
The formula for the area of a circle is
.
- inner circle:

- for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area:

Calculating greater chance:
Divide the larger area by the smaller area:

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.
Answer: 
Step-by-step explanation:
Let the smallest angle be x.
Then, the middle angle is x+30.
The largest angle is 2x+30.
Angles in a triangle add to 180 degrees, so:

So, the angles measure 