Answer:
x = 6
Step-by-step explanation:
- Subtract 8 from both sides of the equation
- Simplify
- Subtract the numbers
- Divide both sides of the equation by the same term
- Simplify
- Cancel terms that are in both the numerator and denominator
- Divide the numbers
Answer:
40
Step-by-step explanation:
area of shaded region = area of whole figure - area of non shaded region
area of whole figure: The whole figure is a rectangle
The area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 10ft and the given length is 8ft
Hence area of whole figure = 10 * 8 = 80ft²
Area of non shaded region: the non shaded region also creates a rectangle
Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 5ft and the given length is 8ft
Hence, area of non shaded region = 5 * 8 = 40ft²
Finally we can find the area of the shaded region.
We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure
If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40
Then, area of shaded region = 80 - 40 = 40ft²
Answer:
20x + 17 = 77 --> Addition Property of Equality:
You are adding (Addition Property) 4x to both sides of the equal sign (Equality).
20x = 60 --> Subtraction Property of Equality:
You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).
x = 3 --> Division Property of Equality:
You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.
~
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.
So you can use proportions here.
AB / AC = AD / AE
AB = AD + DB = 6 + 1 = 7
AC = AE + 3
AD = 6
So plug in these values:
AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE
Now do the cross multiply:
7 AE = 6 (AE + 3)
Now solve for AE:
7AE = 6AE + 18
AE = 18
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Step-by-step explanation:ees
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