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Paha777 [63]
3 years ago
15

Pls answer will make brainlist

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

D. 48 in.^2

Step-by-step explanation:

Sides DE and AB are corresponding, and the triangles are similar.

linear scale factor = k = AB/DE = 12/60 = 1/5

area square factor = k^2 = (1/5)^2 = 1/25

area of ABC = area of DEF * area scale factor = 1200 sq in * 1/25

area of ABC = 48 sq in

Answer: D. 48 in.^2

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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
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