Answer:
B, D, E
Step-by-step explanation:
2nd inequality says that x has to be less than 5, so firstly, we eliminate any choices that have x greater than or equal to 5:
So, C and F are eliminated.
Now looking at others, we simply put the x coordinate into the 1st inequality and check whether the right side is less than or equal to y coordinate. If so, we include that choice.
Choice A:
5(2) - 3 = 7
7 is not less than or equal to 5, so NO
Choice B:
5(4) - 3 = 17
17 is less than or equal to 17, so YES
Choice D:
5(2) - 3 = 7
7 is less than or equal to 8, so YES
Choice E:
5(1) - 3 = 2
2 is less than or equal to 4, so YES
Let X and Y represent the midpoints of AC and EB, respectively. We are given
AB = 36
XY = 30
We know that AX +XY +YB = AB = 36, so AX+YB = 36-30 = 6. We also know that AX = XC and EY = YB, so XC+EY = AX+YB = 6.
Since XC +CE + EY = XY = 30, and XC+EY = 6, we must have CE = 30-6 = 24.
The distance between the midpoints of CD and DE will be half the length of CE, so will be 12 cm.
