Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:

The slopes of segment EF and segment DF are given below:

For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
Answer:
rolling a sum of 7
rolling a sum of 6
rolling a sum that is greater than 2 but less than 5
Step-by-step explanation:
There are 6 possible combination out of 36 that will result in Martha winning the game. First roll have to be even, so its: 2, 4, 6. Second roll have to be less than 3 so its: 1, 2. The combination will be:
(2, 1)= sum 3
(2, 2)= sum 4
(4, 1)= sum 5
(4, 2)= sum 6
(6, 1)= sum 7
(6, 2)= sum 8
If you look at the sum, Marta can only win if the sum is between three and eight inclusive. If the sum is less than three or higher than eight then its impossible for Marta to win.
The third option is wrong, Marta can't win when the sum is 2 (less than three) or 9(higher than eight) since both sum is not possible.
Fourth option is wrong, highest sum Marta can get is eight.
Answer:
let her animals be represented by y
then 5/100 x y=7
y=100/5 x7=140
Step-by-step explanation: