Hey!
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First Equation:
2x + 3 = -7
2x + 3 - 3 = -7 - 3 (Subtract 7 to both sides)
2x = -10
2x/2 = -10/2 (Divide 2 to both sides)
x = -5
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Second Equation:
4.5x - 7 = 20
4.5x + (-7) + 7 = 20 + 7 (Add 7 to both sides)
4.5x = 27
4.5x/4.5 = 27/4.5 (Divide 4.5 to both sides)
x = 6
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Third Equation:
-3x + 7 = 28
-3x + 7 - 7 = 28 - 7 (Subtract 7 to both sides)
-3x/-3 = 21/-3 (Divide -3 to both sides)
x = -7
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Answers:
2x + 3 = -7 → x = -5
4.5x - 7 = 20 → x = 6
-3x + 7 = 28 → x = -7
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Hope This Helped! Good Luck!
1. Add 5 to both sides
k/3 = 34 + 5
2. Simplify 34 + 5 to 39
k/3 = 39
3. Multiply both side by 3
k = 39 * 3
4. Simplify 39 * 3 to 117
k = 117
Answer:
16
Step-by-step explanation:
To solve we must first find what the given ratios equal
8/5 = 1.6
40/25 = 1.6
48/30 = 1.6
this means that x/10 = 1.6
To find x... multiply both sides of this equation my 10 to get x alone
x=1.6×10
x=16
Trigonometric ratios are useful in calculating the side lengths of a triangle.
- The length of the zip line is 222.5 ft
- The height where the ladder rests against the tree is 38.6 ft
- The distance between the base of the ladder and that of the tree is 10.4 ft
- The distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
<u>(a) Length, z</u>
First we calculate (h) using the following sine ratio

Make h the subject

Next, we calculate (z) using the following sine ratio

Make z the subject

Substitute 


Hence, the length of the zip line is 222.5 ft
<u>(b) The height, h</u>
In (a), we have

Evaluate

Hence, the height where the ladder rests against the tree is 38.6 ft
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<u>(c) The distance, b</u>
To do this, we make use of the following sine ratio

Make b the subject


Hence, the distance between the base of the ladder and that of the tree is 10.4 ft
<u />
<u>(d) Distance, B</u>
To do this, we make use of the following sine ratio

Make B the subject

Substitute 


Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
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Read more about trigonometry ratios at:
brainly.com/question/24888715