Which expressions are equivalent? select equivalent or not equivalent for each pair of expressions. equivalent not equivalent 8x(4+z) and 32x+8z 9(g+h) and 9g+9h

8x(4+z) and 32x+8z  are not equivalent expressions.

9(g+h) and 9g+9h  are equivalent expressions.

Step-by-step explanation:

8x(4+z) and 32x+8z

8x(4+z) , distribute 8x inside the parenthesis

8x times 4= 32x

8x times z= 8xz

8x(4+z) = 32x+8xz

8x(4+z) and 32x+8z  are not equivalent expressions.

9(g+h) and 9g+9h

9(g+h), distribute 9 inside the parenthesis

9 times g is 9g  and 9 times h is 9h

So 9(g+h)= 9g+ 9h

9(g+h) and 9g+9h  are equivalent expressions.

the temperature will be -18 just do 62 + (-40) + (-40)

step-by-step explanation:

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