Answer:
F. 82
Step-by-step explanation:
To calculate the length of BC, Pythagoras theorem will be used.
It says, Hypotenuse^2 = Perpendicular^2 + Base^2
In our case, Perpendicular = AB = 18 and Base = AC = 80
therefore,
Hypotenuse^2 = 18^2 + 80^2 = 6724
Hypotenuse = BC = = 82
Answer:
8
Step-by-step explanation:
Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means
Hope this helped!
Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
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The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
-1. Plug in -3 for x which makes 9-10 so -1