Considering the slopes of the segments, the correct option is:
D. No, because the triangle ABC doesn't have a pair of perpendicular sides.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:
- mAB = (-7 - 9)/(11 - 1) = -8/5.
- mAC = (3 - 9)/(-9 - 1) = 3/5.
- mBC = (3 - (-7))/(-9 - 11) = -1/2.
No sides are perpendicular, hence option D is correct.
More can be learned about slopes at brainly.com/question/20847660
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Answer: Todd used 27 black tiles.
Step-by-step explanation:
Let x represent the number of black tiles that Todd used.
Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x
Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is
21 × 3 = 63 square centimeters
Also, the total area covered by the black tiles is
3 × x = 3x square centimeters
The mosaic has a total area of 144 square centimeters. This means that
3x + 63 = 144
3x = 144 - 63
3x = 81
x = 81/3 = 27
Answer:
They are critical ecosystem service providers for the sustenance of humanity.The soil system is a dynamic ecosystem that has inputs, outputs, storages and flows. The quality of soil influences the primary productivity of an area..
Step-by-step explanation:
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Answer:
9
Step-by-step explanation:
first you have to do the 1+2 to get 3 then you divide 6 by 2 and get 3 then you multiply 3x3 to get 9!
