Answer:
177
Step-by-step explanation:
2/3 are women.
that means the remainder, 1/3, are men.
59 = 1/3 of all kindergarten teachers (3/3 = 1 representing the "whole").
so,
59×3 = 177
is the number of all kindergarten teachers employed by the school district.
Answer:
-3/2
Step-by-step explanation:
The slope is the ratio of rise to run, the change in y divided by the change in x. It is often designated by the letter "m".
m = (change in y)/(change in x) = (-7 -(-1))/(5 -1) = -6/4
m = -3/2
The slope of the line through the given points is -3/2.
Answer:
Step-by-step explanation:
Given: DE║BC
To prove: 
Statements Reasons
1). DE║BC 1). Given
2). ∠1 ≅ ∠4, ∠3 ≅ ∠4 2). Corresponding angles theorem
3). ΔADE ~ ΔABC 3). AA Similarity theorem
4). 
4). Corresponding sides are proportional
5). 
5). Segment addition postulate
6). 
6). 
7). 
7). Subtract 1 from both sides
8). 8). Take the reciprocal of both sides
Answer:
Step-by-step explanation:
Remark
Complete the square for x and for y.
complete for x
x^2 + 2x + (2/2)^2
(x + 1)^2
Complete square for y
y^2 + 10y + (10/2)^2
(y + 5)^2
Now put these two together
(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2
(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1
(x + 1)^2 + (y + 5)^2 = 41
Answer
Center: (-1,-5)
radius: (sqrt(41) = 6.403
