9514 1404 393
Answer:
24°
Step-by-step explanation:
The angle between the vertical line AB and the horizontal dashed line at A is 90°. That is, ...
66° + ? = 90°
? = 90° -66° = 24°
The angle of depression is 24°.
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<em>Additional comment</em>
The sum of angles in the triangle is 180°, so the angle at C (the angle of elevation) is the same as the angle we just figured:
∠C + 90° +66° = 180°
∠C +66° = 90° . . . . . . . subtracting 90°; shows C is complementary to 66°
∠C = 90° -66° = 24°
As a rule, the angle of elevation and the angle of depression are the same.
All the factor pairs are 1 x 9, 3 x 3, 9 x 1,
Answer:
The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.
Step-by-step explanation:
We can immediately see the top system has one solution because the two equations have different slopes.
For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.
Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.
The total can be found by adding all of those numbers.
42 + 75 + 189 + 301 + 728 =
117 + 189 + 301 + 728 =
306 + 301 + 728 =
607 + 728 =
1335
The total is C. 1,335.