the simplest fraction is: 3/5
in decimal form its: 0.6
18 and 35. The numbers whose sum 53 are 18 and 35.
The key to solve this problem is using a system of equations.
There are two numbers whose sum is 53. This number can be represented as x and y. So:
x + y = 53
Three times the smaller number is equal to 19 more than the larger. Let's set x as the smaller number and y the larger number. So:
3x = 19 + y
Clear y in both equations and let's use the equalization method to solve for x:
y = 53 - x and y = 3x - 19
Then,
53 - x = 3x - 19
53 + 19 = 3x + x ---------> 3x + x = 53 + 19 -------> 4x = 72
x = 72/4 = 18
To find y, let's substitute x = 18 in the equation x + y = 53
18 + y = 53 --------> y = 53 - 18
y = 35
Answer:
135°
Don't worry I won't scam you
Step-by-step explanation:
If you look closely at the figure you can see it is divided into fourths, as squares.
We know that squares have a right angle measuring 90°.
We can also see that that 90° is split in two.
So let's do the math...
90° / 2 = 45°
Okay so the giant triangle holding w° has it's corner measuring 45°. So the little parallelogram in the triangle has one of it's angles measuring 45°. Since angles are congruent we know that another angle measures 45°. We also know that a parallelograms angles must always add up to the magic number of 360°. So our equation is
45° + 45° + w° + w° = 360°
90° + 2w° = 360°
90° - 90° + 2w° = 360° - 90°
2w° = 270°
2w° / 2 = 270° / 2
w° = 135°
Hope this helped you. It's really hard to explain through typing without being able to point at the model you gave
Step 1) Draw a line from point F to point S. A rectangle forms (rectangle FSCW)
Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9.
Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27
Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45
Final Answer: 45 square units
note: another way to find the answer is to find the area of rectangle WABC where point A is at (-4,4) and point B is at (5,4). Then subtract off the triangular areas of AFN and BNS
The correct answer is 32 because:
x-14 = 18 => add 14 to both sides=>
x=32