The most appropriate choice for similarity of triangles will be given by -
Speed of tip of the shadow of woman = 6 ft/s
What are similar triangles?
Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.
Here,
The diagram has been attached here
Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.
Height of street light = 18 ft
Height of woman = 6ft
The two triangles are similar [As height of woman is parallel to the height of pole]
To find the speed, we have to differentiate both sides with respect to time 't'
Speed of tip of her shadow = 6 ft
To learn more about similarity of triangles, refer to the link-
brainly.com/question/14285697
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(2x - 5) (5x - 10)
Use FOIL
10x² - 20x - 25x + 50
10x² - 45x + 50
5( 2x² - 9x + 10)
2x -5
x -2
5(2x - 5)(x -2)
make each equal to 0
2x - 5 = 0
x - 2 = 0
2x - 5 = 0 x - 2 = 0
2x - 5 (+5) = 0 x - 2 (+2) = 0 (+2)
2x = 5 x = 2
x = 5/2
x = 5/2 , 2
hope this helps
Nick is easy to share to since he and his decision are imperfect. We can trust Nick’s account of the facts but we cannot completely trust his decisions of the other characters in the story – he is unfair.His unfairness led him to ridicule Tom and acclaim Gatsby. Gatsby, for Nick signifies a fundamental blamelessness and uprightness, notwithstanding the fact that his life is externally built upon a lie. It is secretly built upon a boy’s dream of the future of personal prominence. This dream speaks to Nick even as he learns to recklessness it for himself.
Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.
We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.
Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.
In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.
Therefore, our triangles are congruent by SSS congruence.
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
