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jenyasd209 [6]
3 years ago
6

The point (12,5) is on the terminal side of angle 0. Cos 0 = Cot 0 =

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0
<span>The terminal side is which defines the angle when the angle is drawn in standard position.So, the other side is on the x-axis. Then, you can draw a triangle with adjacent leg x = 12, opposite leg y = 5 and hypotenuse = sqrt (12^2 + 5^2 ) = 13. So, the cosine of the angle is x-coordinate / hypotenuse = 12 / 13. That is option b. 12 / 13. The cotangent, is the inverse of the tangent => cot = adjacent leg / opposite leg = x-coordinate / y-coordinate = 12/15. That is option c. 12/5. Hope this helps!</span>
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Answer:

∡ABC=55°

Step-by-step explanation:

<u>Step 1: Identify all angles</u>

∠A=(x+45)°

∠B=(6x+5)°

∠C=(3x)°

∠ABC=(180-∠B)°=(180-(6x+5))°

<u>Step 2: Use the Triangle Angle Sum Theorem</u>

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(x+45)+(180-(6x+5))+(3x)=180

x+45+180-6x-5+3x=180

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-2x+45-5=0

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x=20

<u>Step 3: Plug in x=20 for ∠ABC</u>

∠ABC=(180-(6x+5))°

(180-6(20)-5)°

(180-120-5)°

(60-5)°

55°

So ∡ABC=55°

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photoshop1234 [79]

For this case, the first thing we must do is define a variable.

We have then:

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Answer:

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