Answer:
p = 7.2
q = 6.4
Step-by-step explanation:
if the triangles are similar then the side lengths must be proportional :
AC/BA = CD/BE
9/5 = p/4 cross multiply expressions
5p = 36 divide both sides by 5
p = 7.2
same goes for q
9/5 = (q+8)/8 cross multiply expressions
72 = 5(q+8) divide both sides by 5
14.4 = q+8 subtract 8 from both sides
6.4 = q
Answer:
C= -5
D = 7
Step-by-step explanation:

Answer:
![\sqrt{5}\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^{(5/6)}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D%5Ccdot%5Csqrt%5B3%5D%7B5%7D%20%3D%5Csqrt%5B6%5D%7B5%5E3%7D%20%5Ccdot%5Csqrt%5B6%5D%7B5%5E2%7D%20%3D%5Csqrt%5B6%5D%7B5%5E5%7D%20%3D5%5E%7B%285%2F6%29%7D)
Step-by-step explanation:
The rules of exponents apply, even when they are fractional exponents:
![a^b\cdot a^c=a^{b+c}\\\\\sqrt[b]{x^a}=x^{(a/b)}](https://tex.z-dn.net/?f=a%5Eb%5Ccdot%20a%5Ec%3Da%5E%7Bb%2Bc%7D%5C%5C%5C%5C%5Csqrt%5Bb%5D%7Bx%5Ea%7D%3Dx%5E%7B%28a%2Fb%29%7D)