Answer:
Step-by-step explanation:
Let ABCD be the parallogram.
A,B,C and D are vertices in that order.
Since ABCD is a parallelogram, we get opposite sides are parallel
AB || CD
AD is a transversal making interior angles as A and D
By parallel lines properties we have A +D =180...i
Similarly since BC||AD, and AB is a transversal
Angle A+B =180...ii
We have from i and ii, Angle B = angle D
On the same grounds, as above, we can prove that
Angle A = Angle C
It follows that in a parallelogram opposite angles are equal.
Please, post just one question at a time. I am arbitrarily focusing on #24 this time thru.
2x-3
2x - 4y = 3 can easily be solved for y: 2x-3=4y, or y = ---------
4
The slope of this line is m = 2/4, or m = 1/2.
We need the equation of a new line parallel to this one. Use the slope-intercept form of the equation of a straight line: y = mx + b.
Let m = 1/2 and arbitrarily choose y-intercept b = 0. Then we have
y = (1/2)x + 0, or y = (1/2)x.
Want the equation of a line perpendicular to <span>2x - 4y = 3?
We already know that the slope of this given line is 1/2. The slope of a line perpendicular to this given line is the neg. reciprocal of 1/2, or m = -2.
Again, use the slope-intercept formula y = mx + b:
y = -2x + 0 (my choice of b = 0 is arbitrary; could have chosen some other value for b)</span>
Answer:
35cm
Step-by-step explanation:
The first pair of statements is the best option. h(0) based on the given equation would be the square root of -3, which is an imaginary number. Also, w(0) should be 0, since if nobody is working on making wrenches, none can be made. This is despite the graph having a value at x = 0.
The second statement in the second pair is false, since 0 is not an imaginary number.