To find this, first we subtract the extra 3 feet from the original 27 feet.
27-3=24
Then, we divide the left over length by three. This will provide us with the length for the shorter piece.
24/3=8
The shorter piece will be 8 feet long.
Now, we double that to find the longer piece without the additional 3 feet.
8x2=16
And we add those two (8 and 16) together to make sure it is equal to the 24 we divided into 3 earlier.
16+8=24
Now all that's left is to add the extra 3 feet to the 16 feet.
16+3=19
And add that to the 8 feet, to check to make sure the lengths add up to our original 27 feet.
19+8=27
Therefore, the two pieces are the following lengths:
Shorter piece: 8 feet
Longer piece: 19 feet
Answer:
It's a direct variation condition,
hence ratio remains constant.
39 - 3
x - 4
x = 4×39/3 = 4×13 = 52 .. (for first blank space)
39 - 3
x - 10
x = 39×10/3 = 13×10 = 130 .. (for second blank space)
Answer:
The added term needed for that expression to be a square is 9/16.
Step-by-step explanation:
We're provided with two terms, and asked to add an additional term to make this a perfect square. For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.
That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.
If we tack that on the end then, we get:
To confirm the answer, let's expand it and see if we get the original expression:
So 9/16ths is the scalar that needs to be added on the end.
Answer:
113
Step-by-step explanation:
The given shape has 6 angles so it's a hexagon and the sum of interior angles in a hexagon is = 720
To find the the value of x we need to add all given values up and subtract it from 720:
88 + 142 + 105 + 136 + 136 + x = 720
607 + x = 720 subtract 607 from both sides
x = 113
