Berna used 0.75 meters of yarn to knit a glove. She used 1.5 times more meters of wool to knit a scarf. How many meters of yarn did Berna use for the scarf?What type of comparison is shown in the question above?

1.125m

multiplicative

Step-by-step explanation:

meters used to knit a glove = 0.75

the meters needed to knit a scarf = 1.5 x 0.75 meters = 1.1125 meters

multiplicative comparison is comparing two numbers that needs to be multiplied.

to get the meters used to make the scarf, a number has to be added to the meters used to knit a yarn

< 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)

answer:

c) the x-coordinate of the center of the circle increases by 3