Answer:
1.05 × 10^2
Step-by-step explanation:
104 wall because 38+38 is 76 and 76+28 is 104
<h3>
Answers:</h3>
angle FHG = 42 degrees
angle GHI = 100 degrees
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Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
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(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
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Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
Write and solve a compound inequality to model the possible length of the dog run.
The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200
And the possible length of the dog run is 80ft.
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
x = possible number of square feet
The inequality:
100 ≤ 2.50x ≥ 200
This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200
solve:
100 ≤ 2.50x ≥ 200
divide the inequality into 2
100 ≤ 2.50x
x ≤ 100/2.5
x ≤ 40
the other part:
2.50x ≥ 200
x ≥ 200/2.50
x ≥ 80
Therefore,
the possible length of the dog run is 80 feet
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