Answer:
All real numbers
Step-by-step explanation:
Answer:
A. x = 5 (Equation below)
B. AC = 9 | BD = 9
Step-by-step explanation:
A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:
2x - 8 + x - 4 = x + 2
3x - 12 = x + 2
3x = x + 14
2x = 14
x = 7
B. Just plug in 5 for x:
AC = x + 2 = 7 + 2 = 9
BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9
Answer:
-5
Step-by-step explanation:
The slope of the line is found by
m = (y2-y1)/(x2-x1)
= ( -12.5 - -2.5)/( 7.3 - 5.3)
= ( -12.5 +2.5)/( 7.3 - 5.3)
= -10 /2
= -5
U² + 6u - 27
u² + 9u - 3u - 27
(u - 3)(u + 9)
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are
. Because all part-time college students are also equal to 8.6 million, we have
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

The left side of the equation evaluates as
. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.