1. Consider the figure below where l2 intersects and m<2 = 90°

Mathematics

1 answer:

ryzh [129]3 years ago

6 0

angle 3 and angle 4 are adjacent and complementary.

angle 5 is a vertical angle to the combination of angle 3 and 2

angle 4 and angle 5 are adjacent, supplementary, and form a linear pair

If you want me to explain why, comment it, i just have no time to now.

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Length of rectangle is 31 yards and Width is 24 yards.

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The length of a rectangle is 7 more than the width.
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Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

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$\\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\$

On Substituting the required values, we get;

$\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\$