Answer:
15°
Step-by-step explanation:
The 165° and <em>x</em> forms a straight line or a supplementary angle. Supplementary angles add up to 180°. Therefore:
Solve for <em>x:</em>
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Why does multiplying numbers by 10 move the decimal point to the right , but multiplying by 0.10 moves the decimal point to the
2 answers:
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Answer:
4(x-8)=-32+4: x=1
2(x-2)=-3-2x: x1/4
3+5x=5(x+2)-7: x=0
8x+38=-3(-6-4x) x=5
Step-by-step explanation:
4(x-8)=-32+4
add subtract the numbers
-32+4=-28
4(x-8)=-28
Divide both sides by 4
Simplify
x-8=-7
Add 8 on both sides
x+8-8=-7+8
Simplify
x=1
2(x-2)=-3-2x
- Expand 2(x-2)
- apply distributive law: a(b-c)=ab-ac
a=2 b=x c=2
=2x-2·2
- multiply the numbers
2·2=4
=2x-4
2x-4=-3x-2
- Add 4 to both sides
2x-4+4=-3-2x+4
- simplify
2x=-2x+1
- Add 2x on both sides
2x+2x=2x+1+2x
- Simplify
4x=1
- Divide by 4 on both sides
4x÷4=1÷4
- Simplify
x=1/4
3+5x=5(x+2)-7
<em> We move all terms to the left: </em>
<em> 3+5x-(5(x+2)-7)=0 </em>
<em> We calculate terms in parentheses: -(5(x+2)-7), so: </em>
<em> 5(x+2)-7 </em>
<em> We multiply parentheses </em>
<em>5x+10-7 </em>
<em> We add all the numbers together, and all the variables </em>
<em> 5x+3 </em>
<em> Back to the equation: </em>
<em> -(5x+3) </em>
<em> We get rid of parentheses </em>
<em> 5x-5x-3+3=0 </em>
<em> We add all the numbers together, and all the variables </em>
<em> =0 </em>
<em> x=0/1 </em>
<em> x=0</em>
8x+38=-3(-6-4x)
Simplifying
8x + 38 = -3(-6 + -4x)
Reorder the terms:
38 + 8x = -3(-6 + -4x)
38 + 8x = (-6 * -3 + -4x * -3)
38 + 8x = (18 + 12x)
Solving
38 + 8x = 18 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
38 + 8x + -12x = 18 + 12x + -12x
Combine like terms: 8x + -12x = -4x
38 + -4x = 18 + 12x + -12x
Combine like terms: 12x + -12x = 0
38 + -4x = 18 + 0
38 + -4x = 18
Add '-38' to each side of the equation.
38 + -38 + -4x = 18 + -38
Combine like terms: 38 + -38 = 0
0 + -4x = 18 + -38
-4x = 18 + -38
Combine like terms: 18 + -38 = -20
-4x = -20
Divide each side by '-4'.
x = 5
Simplifying
x = 5
Hope this helps
Answer:
D. (-5,-1), (-2,-3)
Step-by-step explanation:
Just by looking at the answer choices, you can eliminate A, B, and C because they have some positive numbers. You should know that in Quadrant 3, there are only negative numbers.
<em>Eliminating answers is the key to getting the correct answer!</em>
Answer:
The direct distance from the plane to the start of the runway is approximately 5.0623 km
Step-by-step explanation:
The locations of the beacons on the runway, x = 5 km from the start of each runway
The angle of elevation of the airplane from the runway, θ = 9°
Let 'R' represent the direct distance from the plane to the start of the runway
The horizontal distance from the start of the runway to the beacon, 'x', the distance from the plane to the start of the runway, 'R', and the vertical height of the plane, 'h' form a right triangle with rides x, R, and h
By trigonometric ratios, we have;
Therefore, we have;
From which we have;
The direct distance from the plane to the start of the runway, R ≈ 5.0623 km