The correct answer is C.
Perpendicular lines have opposite reciprocal slopes. This mean you will flip the original number upside down, and change its sign (negative to positive and vice versa). So, the opposite of -1/4 will be 4.
Combine like terms:
3x-2>5x+10 becomes -12 > 2x
Dividing both sides by 2, we obtain x < -6
5cm
13^2-12^2=25
C^2 = 25
C = 5
So basically you just need to do the Pythagorean theorem to find the sides of the shaded rectangle, with c being the length of the side.
Small side:
2^2 + 6^2 = c^2
4 + 36 = c^2
40 = c^2
C is similar to 6.32456
Long side:
12^2 + 4^2 = c^2
144 + 16 = c^2
160=c^2
C is similar to 12.64911
And then you just multiply!
You have to do similar calculations you use in algebra. This is how I get the answer;
First I draw out the algebraic formula 55m • X = 8,484 m (meters) 2 (squared). Then I switch the sign from multiplication to division and switch put numbers 55 and 8,484 in different places and change it to your new formula 8,484/(divided) 55 =X. Then you do the math of 8,484 divided by 55 and get an answer of 154.254545. But you can just leave it at the first 2 digits on the right side of the decimal by rounding 4 down and leaving it at an answer of ~~(<This is your answer after being put together with these tips (you always right your final answer using your formula and plugging in the number that we got from dividing 8,484 by 55;
Final answer ( if they wanted it included in a formula); 8,484/55=X let X=~~154.25
Final answer (if they wanted it as one final number as you answer); ~~154.25
*Hope these tips helped you with this mathematical problem :)
