Answer:
Step-by-step explanation:
All 3 sides need to be congruent.
You mean "Simplify 16²÷4³?"
16²=16*16, 16= 4*4
4³=4*4*4
so:
Simplify: <u>16²</u> = <u>16*16</u> = <u>4*4*4*4</u> = <u>4</u> = 4
4³ = 4*4*4 = 4*4*4 1
OR
256 ÷ 64 = 4
Answer:2/11
Step-by-step explanation:
A fraction is in simplest form when the top and bottom cannot be any smaller
Firstly start by getting the common factors between 1 and 4 in 1/4 and 11 and 8 in 11/8. The common factor is 1 in 1/4 and 1 in 11/8. 1÷1/4÷1= 1/4. 11÷1/8÷1 = 11/8.
1/4÷ 11/8 =2/11.
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:
