I would help but not enough information sorry
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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.
Xy = -900
x + y = 5
x + y = 5
x - x + y = -x + 5
y = -x + 5
xy = -900
x(-x + 5) = -900
x(-x) + x(5) = -900
-x² + 5x = -900
-x² + 5x + 900 = 0
-1(x²) - 1(-5x) - 1(-900) = 0
-1(x² - 5x - 900) = 0
-1 -1
x² - 5x - 900 = 0
x = -(-5) ± √((-5)² - 4(1)(-900))
2(1)
x = 5 ± √(25 + 3600)
2
x = 5 ± √(3625)
2
x = 5 ± 5√(145)
2
x = 2.5 ± 2.5√(145)
x + y = 5
2.5 ± 2.5 √(145) + y = 5
- (2.5 ± 2.5√(145) - (2.5 ± 2.5√(145)
y = 2.5 ± 2.5√(145)
(x, y) = (2.5 ± 2.5√(145), 2.5 ± 2.5√(145))
The two numbers that add up to 5 and multiply to -900 are 2.5 ± 2.5√(145).
Answer:
Step-by-step explanation:
We want to simplify
We express in terms of the sine and cosine ratios to obtain;
This is the same as
Multiply by the reciprocal to get;
Cancel the common factors;
You need to find the common denominator between 1/2 and 5/6. 2 can be divided by 6 3 times so a common denominator is 6. 5/6 is in the correct form. Half of six is 3. so 4 3/6 minus 3 5/6. Put them into improper fractions
