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jeyben [28]
3 years ago
9

The image represents what geometric construction? A) Copy a triangle construction B) Copy a segment construction C) Parallel lin

es construction D) Perpendicular bisector and midpoint​

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Answer:

d perpendicular bisected and midpoint

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To find the area of a rectangle, you times the length and width together. 
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The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

=\frac12(\textrm{ sum of parallel sides})\times height

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Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

=\frac 12 (b_1+b_2)\times8 in²

=\frac12 (b_2+6+b_2)\times 8 in²

=\frac12(2b_2+6)\times8 in²

According to the problem,

\frac12(2b_2+6)\times8 =96

\Rightarrow 2b_2+6=\frac{96\times 2}{8}                [ Multiplying \frac28 ]

\Rightarrow 2b_2+6=24

\Rightarrow 2b_2=24-6

\Rightarrow 2b_2=18

\Rightarrow b_2=\frac{18}{2}

\Rightarrow b_2=9

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              =9+6

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The lengths of the bases are 9 inches and 15 inches.

5 0
3 years ago
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