Answer:
AC = 20
Step-by-step explanation:
C is the midpoint of BD.
That means that BC = CD
BC = x + 4
CD = 3x - 10
x + 4 = 3x - 10 Subtract x from both sides
4 = 3x - x - 10 Combine
4 = 2x - 10 Add 10 to both sides
4 + 10 = 2x - 10 + 10 Combine
14 = 2x Divide by 2
14/2 = 2x/2 Combine
7 = x
AC = AB + BC
AC = 2x - 5 + x + 4
AC = 3x - 1
AC = 3*7 - 1
AC = 21 - 1
AC = 20
50%. students (in percent) who passed the second exam also passed the first exam.
Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.
Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.
Thus, both tests were passed by 40 of the 80 pupils who passed the second one:
40/80 = 1/2 = 50%.
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9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
Answer:
H = 3t + 8
Step-by-step explanation:
Since the plant has an initial height of 8 inches, this will be added to the amount it grows each month.
3t will represent how much it grows t months after he bought the plant, since it grows 3 inches each month.
So, the equation will be H = 3t + 8
Answer:
6
Step-by-step explanation:
