the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
Answer:
Step-by-step explanation:
Each year, the plant earns an additional 5 percent per man-hour. This means that the increase in earnings is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the amount earned after t years.
t represents the number of years.
P represents the initial amount earned.
r represents rate of growth.
From the information given,
P = $800
r = 5% = 5/100 = 0.05
Therefore, the function that gives the amount after t years is
A = 800(1 + 0.05)^t
A = 800(1.05)^t
Answer:
In multiplication, 216x27 is the same as 27x216
It is also the same expression as 6x^9
Answer:
Step-by-step explanation:
Whenever you add two number x and -x and it becomes 0 . IT is the identity property.
Ex:
-1/3 + 1/3 = 0
-1 + 1 = 0
-58 + 58 = 0
Answer: 108
Step-by-step explanation:
Fact or Fiction: Is C the Most Common Answer on the ACT? The idea that C is the best answer to choose when guess-answering a question on a multiple choice test rests on the premise that ACT answer choices are not truly randomized.