Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
Answer:
D. 3y+1
Step-by-step explanation:
The coefficient is the number in front of the variable
3y has a coefficient of 3
3 ( y-6) has a factor of 3 since it is multiplied by the other term ( y-6)
9514 1404 393
Answer:
B. infinite set of points on the line
Step-by-step explanation:
The lines are identical, so the set of points they have in common is an ...
infinite set of points on the line
Answer:
N greater than or equal to -12
Step-by-step explanation:
N-8 greater than or equal to -4
N greater than or equal to -4-8
N greater than or equal to -12
