Parallel means they have same gradient.
m=(y2-y1)/(x2-x1)
m=(5-(-4))/(3-(-2))
m=9/5
so the answer is B since the gradient also 9/5
Answer:
12
Step-by-step explanation:
The area of a parallelogram is equal to its base times its height. Segment DX is a height relative to the base BC, so (area of ABCD) = BC times DX,
144 = 12 times DX.
So, DX is 12. :)
Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is

Answer:
Option C
Step-by-step explanation:
Exteriore angle property: Exterior angle equals the sum of opposite interior angles.
∠I = 77° + 56°
= 133°