Answer:
Social inequality is the existence of unequal opportunities and rewards for different social positions or statuses within a group or society. Let's examine some causes and effects of poverty and test our knowledge with a quiz.
Answer:
Step-by-step explanation:
10) The opposite sides of a parallelogram are equal. It means that
a + 15 = 3a + 11
3a - a = 15 - 11
2a = 4
a = 4/2 = 2
Also,
3b + 5 = b + 11
3b - b = 11 - 5
2b = 4
b = 4/2 = 2
11) The opposite angles of a parallelogram are congruent and the adjacent angles are supplementary. This means that
2x + 11 + x - 5 = 180
3x + 6 = 180
3x = 180 - 6 = 174
x = 174/3 = 58
Therefore,
2x + 11 = 2×58 + 11 = 127 degrees
The opposite angles of a parallelogram are congruent, therefore,
2y = 127
y = 127/2 = 63.5
12) The diagonals of a parallelogram bisect each other. This means that each diagonal is divided equally at the midpoint. Therefore
3y - 5 = y + 5
3y - y = 5 + 5
2y = 10
y = 10/2 = 5
Also,
z + 9 = 2z + 7
2z - z = 9 - 7
z = 2
Answer:
5
Step-by-step explanation:
The function 
is
- decreasing for all
- is increasing for all
![x\in (0,2]](https://tex.z-dn.net/?f=x%5Cin%20%280%2C2%5D)
(see attached diagram for details).
The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):
So, the maximum value is 5.
Answer:
2&7
Step-by-step explanation:
AB = 30 in and BC = 50 in.
We use Pythagorean theorem to solve this. Since AN is an altitude, this means that it is perpendicular to BC. This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:
18²+24² = AB²
324 + 576 = AB²
900 = AB²
Take the square root of both sides:
√900 = √AB²
30 = AB
NC and AN form the legs of the other right triangle, with AC being the hypotenuse:
24²+NC² = 40²
576 + NC² = 1600
Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024
Take the square root of both sides:
√NC² = √1024
NC = 32
BC = BN + NC = 18 + 32 = 50
