Answer:
it depends on what he means
Step-by-step explanation:
The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.
If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.
If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.
__
So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.
If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).
One Way:
We can change the mixed number to a decimal for comparing.
m =
m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25)
0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.
=
(Luke)
1.4 =
(Darren)
We need a common denominator to compare
(Luke)
(Darren)
(Luke)
(Darren)
Darren > Luke
By:
-
=
Which is also by
0.15 m
Darren jumps higher and by 0.15 m
Answer:
C (let me know if I am wrong!)
Step-by-step explanation:
We need to solve the equation.
If 5x+y = -24, then -24 - 5x = y.
x+ 3(-24-5x) = -2
= -14x-72=-2
= -14x-72+72=-2+72
= -14x=70
= -5
If x = -5, then -5 + 3y = -2.
3y = -2+5
3y = 3
y=1
So the answer is C.
Answer:
4,784ft^2
Step-by-step explanation:
Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.
So if the base is a square then the area is 32*32 which is 1,024.
Now for the trangle, the area of a triangle b*h/2.
So b*h is 47*32 which is 1,504.
So 1,504/2 is 752.
So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.
So 3,760 + 1,024 is 4,784.
So the total SA if the pyramid is 4,784ft^3.
