Two ways:

=

and 1/4 = 25%
Another way.
300 = n% of 1200
Problem - we can't move n% back two place to change it to a decimal since we don't know what n is. Solution - move the decimal back on the 1200 two places because since of means x, it doesn't matter. Sample .45 x 32 = 45 x .32 Notice that the decimal can be place on either number and it results in the same answer.
So 300 = 12n (1200 moved back 2 places)
now divide by 12
<u>300</u> = <u>12n
</u>12 12 and once again n=25(%)<u>
</u><u>
</u>
P(J/K) = 0.1 means that the probability of event J happening with respect to K is 0.1.However, since J and K are independent events, they are not related to each other. Thus, what ever the probability of event K is, it would not affect the probability of event J happening. So, P(J) would still be equal to 1.
Answer:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4)
STEP 4- simplify the equation
x^2-8x+16=10
STEP 5- factor the perfect trinomial square into (x-4)^2
(x-4)^2=10
STEP 6-solve the equation for x
x=4= square root of 10