<span>The long piece should measure 7.5 feet or 7'6" (7 foot 6 inches).
If x is the length of the short piece then the length of the long piece must be 3x. The total length of the uncut beam is 10 foot.
This can be represented by :
x + 3x = 10
4x = 10
x = 2.5
As x = 2.5 = length of short piece, then the long piece measures 3x = 3(2.5) = 7.5 feet.
There are 12 inches in a foot so 7.5 feet = 7'6"</span>
Answer: Length is 12in and width is 16in
Let's use the ratio method!
3+3+4+4 is 14
Let's think the length as," L " and the width as," W "
L / 56 = 3/14
L = 3/14 * 56
L = 12
And for width:
W / 56 = 4/14
W =4/14 * 56
W = 16
There you go! We did it!
Now make sure to click the Brainliest button if I gave the correct answer
Let's start with x... Since angle AOE is a 90 degree angle, then we know the supplementary angle EOB is also 90 degrees. The 2 angles that make up angle EOB are given to us as expressions. Added together the must equal 90 degrees...
(x+8) + (2x-8) = 90
3x = 90
x = 30
Now if we look at y, we see it is an opposite angle from angle DOB. Because it is opposite, it is also congruent... so it has to be equal to angle DOB... and since angle DOB is 2x - 8, we can substitute x with the answer we found in the last step, 30, to find the angle.
2x - 8= y
2(30) - 8 = y
60 - 8 = y
y = 52 degrees
Since angle DOB equals 52 degrees, then y = 52 degrees
x = 30 degrees
y = 52 degrees
*Note, you can also find the value of angles GOF and EOD by plugging x (30) into the expressions.
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