Answer:

Step-by-step explanation:
Given

Required
Solve
We have:

Collect like terms


So:

Answer:
answer is 51
Step-by-step explanation:
Answer:
The fraction of black pieces left is
Step-by-step explanation:
Given as :
On the checkerboard , The fraction of red pieces left = 
Let The fraction of black pieces left = x
So, The fraction of black pieces left = x = 1 - 
Or, x = 
Or, x = 
Hence The fraction of black pieces left is
Answer
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:
