Answer:
The largest angle measure in triangle DEF = 82°
Explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
So, the shape of the triangles ABC and DEF are the same.
Sine the shape is similar the angle of the dilated triangle and considered triangle are the same.
The largest angle measure in triangle DEF = The largest angle measure in triangle ABC
The largest angle measure in triangle DEF = 82°
Answer:
mean = 1 power failure
variance = 1 (power failure)²
Step-by-step explanation:
Since the mean is computed as
mean = E(x) = ∑ x * p(x) for all x
then for the random variable x=power failures , we have
mean = ∑ x * p(x) = 0 * 0.4 + 1* 0.3 + 2*0.2 + 3* 0.1 = 1 power failure
since the variance can be calculated through
variance = ∑[x-E(x)]² * p(x) for all x
but easily in this way
variance = E(x²) - [E(x)]² , then
E(x²) = ∑ x² * p(x) = 0² * 0.4 + 1²* 0.3 + 2²*0.2 + 3²* 0.1 = 2 power failure²
then
variance = 2 power failure² - (1 power failure)² = 1 power failure²
therefore
mean = 1 power failure
variance = 1 power failure²
Y=(-2/3x)+2
You don’t have to include the parentheses. I just placed them there so you know that it’s -2 over 3x plus 2
Answer:
hi
Step-by-step explanation:
i think 96(probably)
have a nice day
A) x -y =1
B) x * y =1
B) y = 1/x
A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0
Solving by the quadratic formula
x = 1.618 and
y = .618
Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio
