Rectangle tuvw is on a coordinate plane at t (a, b), u (a + 2, b + 2), v (a + 5, b − 1), and w (a + 3, b − 3). what is the slope of the line that is parallel to the line that contains side uv?

−2
2
−1
1

m = -1 (Option C)

Step-by-step explanation:

In the coordinate plane, the gradient of a line is to be calculated by using two given points in the plane. Parallel lines are the straight lines that never meet. This is only possible when the gradients of both the lines are same. This means that the slopes of all the parallel lines in a group can be calculated by calculating the slope of one of the lines. Therefore, the slope of the line that is parallel to the line that contains side UV is the same. The point U is (x1, y1)=(a+2, b+2) and point V is (x2, y2)=(a+5, b-1). The formula of the gradient is:

m = (y2 - y1)/(x2 - x1).

m = (b-1 - (b+2))/(a+5 - (a+2)).

m = (b-1 - b-2))/(a+5 - a-2).

a and b cancel out so:

m = -3/3 = -1.

The slope of the line that is parallel to the line containing the side UV is -1!!!

-1

Step-by-step explanation:

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

this answer is !