1. which expression is equivalent to the one shown below?
(2x)^-3

a) -2x^3
b)-8x^3
c)1/2x^3
d)1/8x^3

2. which expression is equivalent to the one shown below?
(4z^2)^0

a)0
b)1
c)4z
d)4z^2

3. which expression is equivalent to the one shown below?

(5^4)^3

a)5^1
b)5^7
c)5^12
d)5^64

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

13.46

step-by-step explanation:

16.80 x .20 = 13.46