The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?

250 berries

Step-by-step explanation:

Berries : Oranges = 10 : 1

Let the number of berries = x

10 : 1 = x : 25

Product of means = 1*x = x

Product of extremes = 10 * 25 = 250

Product of means =  product of extremes

          x = 250

250 berries

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step-by-step explanatio89

< 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)