The line through (3,6) and (3,15) is vertical so the perpendicular slope is a horizontal line.
y=7
Answer:
37
Step-by-step explanation:
To find the side length in the middle is 12. This is because A(12) squared + B(5) squared = C(13) squared.
Now that we know the side length, we can find x. A(35) squared + B(12) squared = C(x) squared.
35*35=1225.
12*12=144.
1225+144=1369
The root of 1369 is 37, so the value of x is 37.
<span>A linear pair is a pair of adjacent angles formed when two lines intersect.
Linear pair angles add up to 180 degrees because they lie on a straight line.
Let x = smaller angle
Let 5x - 18 = bigger angle
x + 5x -18 = 180
6x = 198
x = 198/6
x = 33
The smaller angle is 33 degrees and the bigger is 147 degrees</span>
Answer:
(-2, -3)
Step-by-step explanation:
90° clockwise rotation:
(x, y) -----> (y, -x)
Let's apply this to our coordinates:
(x, y) -----> (y, -x)
(3, -2) -----> (-2, -3)
Simply make the old y-coordinate the new x-coordinate, and make the old x-coordinate negative and make the new y-coordinate.
Therefore, the coordinate of the new point is (-2, -3).
Total Area
= Area of semicircle (radius 6/2=3) + Area of rectangle (sides 6 and 10)
= 2 x Pi* (3)^2 + (10 x 6)
= 116.55