Answer:
AE =15
Step-by-step explanation:
BC=16-12 = 4
AE=x
12/4 = x/5
Cross multiplication
4x=60
x=15
4x3 = 12
5x3 =15
The rule is 3^x.
Check: 3^1 = 3; 3^2 = 9; 3^3 = 27 and 3^4 = 81
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Should be D. (5^2)^2= 5^4 (you multiply them) and 5^4+5^4=5^8