Answer:
2
Step-by-step explanation:
Reflection over y axis rule
(x,y) --------> (-x,y)
Rule explained:
Simply change the sign of the x value and keep the y value as it it
Coordinates of A (-4,0)
Apply reflection over y axis rule
(-4,0) -----> (4,0)
Next we want to apply a translation with the rule ( x - 5 , y + 2 )
Explanation of rule:
Simply subtract 5 from the x value and add 2 to the y value
Current coordinates of A (4,0)
Apply translation rule
(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )
The y value of coordinate A would be 2 after all of the transformations
A) 2 m b) 123 km c) 1 L
Hope this helps!
Answer:

Step-by-step explanation:
Given:


Required:

SOLUTION:



Collect like terms


Solution
The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.
Mean is $650
Standard deviation = $50



[tex]P(-1
Therefore the estimated percent of apartment residents = 81.86%
I'm sure there's an easier way to do this, but this method does work:
First, AB = CD = CG + GF + FD, so FG = 2.
By the Pythagorean theorem, in triangle AFD we get

and in triangle BCG,

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

Similarly, angles BGC and FGE are congruent and have measure

Then the remaining angle in triangle EFG has measure

We can solve for the lengths of FE and GE exactly by applying the law of sines:


Let
be the semiperimeter of triangle ABE, so that

Then according to Heron's formula, the area of triangle ABE is
