X ·2 = 12x - 15
2x = 12x - 15
2x + (-12x) = (12x - 15) + (-12x)
Result: x = 3/2
Answer:
5/16
Step-by-step explanation:
We need to change the mixed number to an improper fraction to find the reciprocal
3 1/5 = (5*3+1)/5 = 16/5
The reciprocal of 16/5 is found by flipping the fraction
5/16
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:
