Shannon made a scale drawing of a farm. the scale she used was 1 centimeter : 9 meters. the actual length of the goat pen is 18
1 answer:
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For this case we have that the sum of the angles DEF and FEG is equal to 180 degrees.
Therefore, we have:
From here, we clear the FEG angle.
We have then:
FEG = 180 - DEF
Substituting values we have:
FEG = 180 - 129
FEG = 51
Then, on the other hand we have that the sum of the angles FEG and HEG is equal to 180 degrees.
Therefore, we have:
HEG + FEG = 180
From here, we clear the HEG angle:
HEG = 180 - FEG
Substituting values we have:
HEG = 180 - 51
HEG = 129
Answer:
The values of HEG and FEG are:
FEG = 51
HEG = 129
Answer: The length is 8 ft and the width is 3.5 ft and those are the dimensions.
Step-by-step explanation:
The length of the rectangle is 1 more than double the width so we can represent it by the equation L = 2w + 1 where l is the length and w is the width. We know that to find the area of a rectangle, you will have to multiply the length by the width and the area is 28 ft. so we can represent it by the equation,
w(2w+1) = 28 Now solve for w to find the width
2 + w = 28 Subtract 28 from both sides for the whole equation to equal zero.
+ w -28 = 0 Now solve for w using the quadratic formula
x= -b ± In this case, x is representing w(the width)
a = 2 b = 1 c = -28
x = -1 ±
x= -1 ± 15 / 4
x= 14/4
x = 3.5
The width is 3.5 ft and the length is 1 more than double the width so
L = 2(3.5) + 1
L = 7 + 1
l = 8
The length is 8
Check
8 * 3.5 = 28
28 = 28