Frankie argues that the fraction 20−−√ is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20−−√ is a rational number because the square root falls between 4 and 5, and the decimal terminates.

Which statement BEST describes who is correct?
A
Frankie is correct because the 20−−√ is 10 which is a rational number.

B
Alejandro is correct because the 20−−√ falls between 4 and 5 and the decimal terminates.

C
Both students are correct because 20−−√ is a rational number.

D
Neither student is correct because 20−−√ is an irrational number.

what are the statements

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

if im not mistaking its

step-by-step explanation: