Answer:
See below in bold.
Step-by-step explanation:
Use the point-slope form of a straight line
y - y1 = m(x - x1)
Here m = -5/9 , x1 = 9 and y1 = -3:, so
y - -3 = -5/9(x - 9)
y + 3 = -5/9x + 5
y = -5/9x + 2 is the equation parallel to the given line.
The line perpendicular to the given line will have a slope of - 1 / -5/9
= 9/5 so its equation is
y + 3 = 9/5(x - 9)
y = 9/5x - 81/5 - 3
y = 9/5x - 96/5 .
0.25 is 1/4 if that's what youre asking, i'm not sure,
-4 + -7= -11
When adding negative numbers if the are both negative then you add them. When you have a negative and a positive you subtract. In this problem they just took out the plus sign.
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:
