Answer:
1 17/24
Step-by-step explanation:
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:

Answer:
12.5%
Step-by-step explanation:
105 over 120 is the fraction that he got so you subtract 105 from 120 to get how much he missed. 120-105=15
He miscalculated by 15 cm out of the total of 120, 15/ 120
15/120=5/40=2.5/20 multiply the top and bottom by 5 to get the percentage out of 100. 2.5 times 5 =12.5, so he miscalculated by 12.5%

Convert decimals to fractions

Multiply both sides by 10

Move expression to the left.

Remove zero.

Solve the quadratic equation.

Remove parenthesis and calculate.

Add the numbers

Separate the solutions

The final solution are