The following can be deduced from the expressions
m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12
Please note that the sum of angles in a triangle is 180 degress. Therefore,
M∠ A + m ∠ B + m ∠ D = 180equation(3)
Substitute for equation 1 and 2 in equation 3 as shown below
m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0
Substitute for m∠A= 24 in equation 1 and 2 as shown below
m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0
,
∠= °
∠= °
∠= °
Answer:
Step-by-step explanation:
"The difference between A and B" means "A - B". "Is no more than" means "is less than or equal to." Applying these translations to your statement gives ...
x - 3 ≤ 2
Adding 3 to both sides of this inequality tells you its solution:
x ≤ 5
Answer:
P(t) = 3000 * 4^(t/10)
Step-by-step explanation:
There is more than one way to get an exponential function out of the information given. The way the question is worded, however, seems to suggest the following type of answer:
One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor. So right away we can say that a = 2300.
Now for the growth factor. When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently. So here we're increasing by 11%, or 0.11. Then the growth factor b is (1 + 0.11), or 1.11.
The Probability of him getting green is 4/10 which is 2/5
Answer:
x^2 -10x+25
Step-by-step explanation:
(x-5)^2
Rewriting
(x-5)(x-5)
FOIL
first: x*x = x^2
outer: x* -5 = -5x
inner: -5*x = -5x
last: -5 * -5 = +25
Add them together
x^2 -5x-5x+25
Combine
x^2 -10x+25
