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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If the number k is greater than 3, we have the following inequality:
In order to evaluate k/3, let's divide the inequality by 3:
So the expression k/3 is greater than 1, therefore the correct option is D.
Where r is the radius of the circle.
Answer:
Step-by-step explanation:
l = 7 in
w = 11 in
h = 5 in
Surface area = 2*(lw +wh +hl)
= 2*(7*11 + 11*5 + 5*7)
= 2* (77+ 55 + 35)
= 2 * 167
= 334 square inches
