Answer:
AB = 25
Step-by-step explanation:
First things first, we know that these triangles are similar. Now let's find BC using the Pythagorean Theorem. BC = 
, this side is similar to the 5 side of the smaller triangle. That means each side of the larger triangle 
times larger than the corresponding side on the small triangle. That means AB is times larger than BC as well. So multiply BC by get us the answer.
Area of the triangle: 1/2(4) *6= 12
150- 12= 138
138/6= 23
x=23
Answer:
The correct option is Option A: Yes, that is the correct step
Step-by-step explanation:
Wane was asked to solve the inequality 
He decides that he needs to multiply both sides by 3.
We need to tell if the step is correct?
So, solving the inequality
We need to multiply both sides by 3, to get value of x i.e.
So, Wanes step is correct.
The correct option is Option A: Yes, that is the correct step
Mean = 12000
Standard Deviation = 2000
We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score
Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.
z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score =
This means, 14,500 is 1.25 standard deviations above the mean value 12,000.
