Adding all of these should equal to 180 from the way the angle is set up.
So the equation should be:
(3x + 2) + (2x + 5) + (2x - 9) = 180
You can remove parentheses as it doesn’t affect the equation since it is all addition.
Let’s first add the common variables together.
3x + 2x + 2x = 7x
2 + 5 + (-9) = -2
So now we should have:
7x - 2 = 180
Now add 2 to both sides.
7x = 182
Divide both sides by 7 to isolate x.
x = 26
So x is 26.
If you would like to know how many hours will you have to work to pay for the insurance, you can calculate this using the following steps:
$200 / $8 = 200 / 8 = 25 hours
Result: You will have to work 25 hours to pay for the insurance.
Answer:
y=-2 8/9
x=31 1/2
Step-by-step explanation:
x-4y=15 --> x=4y+15
8x-5y=42
8(4y+15)-5y = 42
32y +120 - 5y = 42
27y = -78
y=-2 8/9
x=31 1/2
Answer:
90° + (γ/2)
Step-by-step explanation:
The angles in ΔADB have a sum of 180°, so ...
(A/2) +(B/2) + ∠ADB = 180°
and so do the angles of ΔABC:
A + B + γ = 180°
Dividing this second equation by 2 gives an expression for (A/2) +(B/2) that we can substitute into the first equation:
A/2 +B/2 +γ/2 = 90°
A/2 +B/2 = 90° -γ/2
Putting this in the first equation, we have ...
(90° -γ/2) + ∠ADB = 180°
∠ADB = 90° +γ/2 . . . . . . . . . . add (γ/2 -90°)
