the figure shows three right triangles. triangles abd, cad, and cba are similar.

theorem: if two triangles are similar, the corresponding sides are in proportion.

using the given theorem, which two statements to prove that if segment bc is x, then x2 = 74?

1) segment bc ⋅ segment dc = 49

segment bc ⋅ segment bd = 35

2) segment bc ⋅ segment dc = 49

segment bc ⋅ segment bd = 25

3) segment bc ⋅ segment dc = 25

segment bc ⋅ segment bd = 35

4) segment bc ⋅ segment dc = 25

segment bc ⋅ segment bd = 49

The blank theory suggests that the sun, planets, and other celestial bodies of the solar system came from a cloud of dust and gas? a.) condensationb.) steady state c.) big bang d.) nebular

Iam stuck on this question! 45 points : ) how do increases in temperature affect the density of ocean water? answer choices: (a) density does not change (b) density increases (c) density becomes variable (d) density decreases

The great scientist alfred wegener proposed that continents have moved, while other scientists such as t. c.chamberlin argued against wegener. wegener's ideas eventually won, and are now widely accepted, because: a) wegener's ideas were more beautiful, and so were favored by the intellectual elite. b) wegener's ideas did a better job of predicting the results of new observations and experiments. c) wegener's ideas appealed to dead white european males, whereas chamberlin's didn't. d) wegener's ideas appalled dead white european males, and we all know that in this politically correct era, dead white european males cannot get a fair shake. e) wegener won the nobel prize.