Answer:
x=1
Step-by-step explanation:
For algebra always start by rewriting it.
4+x+2-2x=5
Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.
6-x=5
Now lets get x alone and the quickest way is to subtract 6 to the other side
6-x=5
-6 -6
-x=-1
Now the two negatives cancel out as you would divide both sides by the coefficient -1 to get positive x alone. We can make this easier by just canceling out the negatives.
Your answer is
x=1
Answer:
J=63
Step-by-step explanation:
3b+27=2b+57
subtract 27 from both sides
3b=2b+30
subtract 2b from both sides
b=30
K+J=180
substitute the value of b into K
2(30)+57+J=180
117+J=180
subtract 117 from both sides
J=63
No, she cannot use a ratio of 21 to 6. You can figure this out in a few different ways. First you can simplify down the fraction 18/3, to get 6/1. 6/1 does not equal 21/6, because 21/6 equals 7/2. However, 6/1 it does equal 36/6. You could also noticed that three doubles to make six, yet 18 does not double to make 21
Do you have a picture I'll show you
The angle of depression is the angle that is created from a horizontal line drawn from the upper angle of the right triangle that is created in this situation. The angle of depression is an angle exterior to the triangle. It is complementary to the interior angle. So if the angle of depression is 30 and lie outside the triangle, the interior angle has to measure 60. The pole creates a 90 angle with the ground, so what we have here is a 30-60-90 triangle. The one base angle is the right angle (the one the pole makes with the ground) and the other base angle measures 30. We are given the length of the base leg as 75 and we are looking for the height of the pole (the other leg). You would use the tangent ratio to solve for the height of the pole.
Tan(30)=x/75, and 75 tan(30)=x. Doing that on your calculator in degree mode gives you a pole height of 43.3 feet, or 43 feet (which is the height to the nearest foot)
