Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
Answer:
positive
Step-by-step explanation:
<h2>
Answer:</h2>
<u>x= 90°</u>.
<h2>
Step-by-step explanation:</h2>
<h3>1. Write the expression.</h3>
<h3>2. Subtract "4" from both sides of the equation.</h3>
<h3>3. Add "8sin(x)" to both sides of the equation.</h3>
<h3>4. Divide both sides by 10.</h3>
<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>
<h3>6. Conclude.</h3>
<u>x= 90°</u>.
Answer:
-94%, -0.925, -9/10, -8/9
Step-by-step explanation:
-94% = -0.94
-8/9 = -0.89
-9/10 = -0.90
Since the values are negative the order is opposite then if they were all positive.
