Since you that that line is 180 degrees you can simply do 180-149 and find that the answer is 31 degrees. So you would do 13x+5=31, 31-5=26, 26/13, and then x=2 :)
Answer: No, they are not proportional
Explanation: 24/25 is not proportional to 38/40 because multiplying 24 to get 38 is 1.58 while multiplying 25 to get 40 is 1.6
Answer:
r(A + B) = rA + rB,. (4). (r + s)A = rA + sA,. (5) r(sA)=(rs)A;. (6). A(BC)=(AB)C,.
Let x be the number
5x = x + 5
subtract x from both sides
5x - x = 5
4x = 5
Divide both sides by 4
4x/4 = 5/4
x = 5/4
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Check:
5 * (5/4) = (5/4) + 5
25/4 = 1.25 + 5
6.25 = 6.25
Hope it helps . Note that I am a sixth grade student and I don’t know anything . I got help from somebody
Part (a)
<h3>Answer: 12.1</h3>
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Work Shown:
We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
Focus on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
x*sin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1
Make sure your calculator is in degree mode.
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Part (b)
<h3>
Answer: 15.1</h3>
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Work Shown:
Draw an xy coordinate grid.
Place point A at the origin (0,0).
Point B is 10 units above this, so B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.
Refer to the diagram below.
Apply the distance formula for the points C and D.


Segment CD is roughly 15.1 cm long.