\the following box plot shows points awarded to dance teams that competed at a recent competition:

box plot with number line titled points with 0 as the minimum, 65 as quartile 1, 87 as the median, 95 as quartile 3, and 100 as the maximum

which dot plot best represents the box plot data?

dot plot titled dance competition points with points on the x axis and number of teams on the y axis with 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100
dot plot titled dance competition points with points on the x axis and number of teams on the y axis with 1 dot over 0, 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100, 1 dot over 110
dot plot titled dance competition points with points on the x axis and number of teams on the y axis with 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100, 2 dots over 110
dot plot titled dance competition points with points on the x axis and number of teams on the y axis with 1 dot over 0, 2 dots over 65, 1 dot over 87, 2 dots over 95, 1 dot over 100

step-by-step explanation:

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there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240